Article

Christakis, Nicholas, Cross, Mark, Patel, Mayur K. and Tüzün, Ugur (2013) A Hybrid Approach for the Modelling of Complex Systems: Methodologies and Applications. Journal of Algorithms & Computational Technology, 7 (2). pp. 113-144. ISSN 1748-3018 (doi:https://doi.org/10.1260/1748-3018.7.2.113)

Christakis, Nicholas, Chapelle, Pierre, Strusevich, Nadezhda, Bridle, Ian, Baxter, John, Patel, Mayur K., Cross, Mark, Tüzün, Ugur, Reed, Alan R. and Bradley, Michael S. A. (2006) A hybrid numerical model for predicting segregation during core flow discharge. Advanced Powder Technology, 17 (6). pp. 641-662. ISSN 0921-8831 (doi:https://doi.org/10.1163/156855206778917715)

McManus, Kevin, Williams, Alison, Cross, Mark, Croft, Nick and Walshaw, Chris ORCID: 0000-0003-0253-7779 (2005) Assessing the scalability of multiphysics tools for modeling solidification and melting processes on parallel clusters. The International Journal of High Performance Computing Applications, 19 (1). pp. 1-27. ISSN 1094-3420 (Print), 1741-2846 (Online) (doi:https://doi.org/10.1177/1094342005051198)

Chapelle, P., Christakis, N., Wang, J., Strusevich, N., Patel, M.K., Cross, M., Abou-Chakra, H., Baxter, J. and Tuzun, U. (2005) Application of simulation technologies in the analysis of granular material behaviour during transport and storage. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 219 (1). pp. 43-52. ISSN 0954-4089 (Print), 2041-3009 (Online) (doi:https://doi.org/10.1243/095440805X7044)

Soper, A. J. ORCID: 0000-0002-0901-9803 , Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (2004) A combined evolutionary search and multilevel optimisation approach to graph-partitioning. Journal of Global Optimization, 29 (2). pp. 225-241. ISSN 0925-5001 (Print), 1573-2916 (Online) (doi:https://doi.org/10.1023/B:JOGO.0000042115.44455.f3)

Wang, Junye, Christakis, Nicholas, Patel, Mayur K., Cross, Mark and Leaper, Mark C. (2004) A computational model of coupled heat and moisture transfer with phase change in granular sugar during varying environmental conditions. Numerical Heat Transfer, Part A: Applications, 45 (8). pp. 751-776. ISSN 1040-7782 (Print), 1521-0634 (Online) (doi:https://doi.org/10.1080/10407780490424280)

Slone, A.K., Pericleous, K. ORCID: 0000-0002-7426-9999 , Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M. and Bennett, C. (2004) A finite volume unstructured mesh approach to dynamic fluid–structure interaction: an assessment of the challenge of predicting the onset of flutter. Applied Mathematical Modelling, 28 (2). pp. 211-239. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(03)00142-2)

Chapelle, Pierre, Abou-Chakra, Hadi, Christakis, Nicholas, Patel, Mayur, Abu-Nahar, Azlina, Tüzün, Ugur and Cross, Mark (2004) Computational model for prediction of particle degradation during dilute phase pneumatic conveying: the use of a laboratory scale degradation tester for the determination of degradation propensity. Advanced Powder Technology, 15 (1). pp. 13-29. ISSN 0921-8831 (doi:https://doi.org/10.1163/15685520460740043)

Chapelle, Pierre, Christakis, Nicholas, Abou-Chakra, Hadi, Bridle, Ian, Bradley, M.S.A., Patel, Mayur and Cross, Mark (2004) Computational model for prediction of particle degradation during dilute-phase pneumatic conveying: modeling of dilute-phase pneumatic conveying. Advanced Powder Technology, 15 (1). pp. 31-49. ISSN 0921-8831 (Print), 1568-5527 (Online) (doi:https://doi.org/10.1163/15685520460740052)

Williams, A.J., Croft, T.N. and Cross, M. (2003) Modeling of ingot development during the start-up phase of direct chill casting. Metallurgical and Materials Transactions B, 34 (5). pp. 727-734. ISSN 1073-5615 (Print), 1543-1916 (Online) (doi:https://doi.org/10.1007/s11663-003-0042-9)

Slone, A.K., Pericleous, K. ORCID: 0000-0002-7426-9999 , Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M. and Bennett, C. (2003) A finite volume unstructured mesh approach to dynamic fluid–structure interaction: an assessment of the challenge of predicting the onset of flutter. Applied Mathematical Modelling, 28 (2). pp. 211-239. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(03)00142-2)

Voller, V.R., Mouchmov, A. and Cross, M. (2003) An explicit scheme for coupling temperature and concentration fields in solidification models. Applied Mathematical Modelling, 28 (1). pp. 79-94. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(03)00115-X)

Ierotheou, C.S., Johnson, S.P., Leggett, P.F and Cross, M. (2003) Using an interactive parallelisation toolkit to parallelise an ocean modelling code. Future Generation Computer Systems, 19 (5). pp. 789-801. ISSN 0167-739X (doi:https://doi.org/10.1016/S0167-739X(02)00185-1)

Slone, A.K., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2002) Dynamic solid mechanics using finite volume methods. Applied Mathematical Modelling, 27 (2). pp. 69-87. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(02)00060-4)

Taylor, G.A., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2002) A vertex-based finite volume method applied to non-linear material problems in computational solid mechanics. International Journal for Numerical Methods in Engineering, 56 (4). pp. 507-529. ISSN 0029-5981 (Print), 1097-0207 (Online) (doi:https://doi.org/10.1002/nme.574)

Williams, A.J., Croft, T.N. and Cross, M. (2002) Computational modelling of metal extrusion and forging processes. Journal of Materials Processing Technology, 125-6. pp. 573-582. ISSN 0924-0136 (doi:https://doi.org/10.1016/S0924-0136(02)00401-6)

Campbell, A.P., Pericleous, K.A. ORCID: 0000-0002-7426-9999 and Cross, M. (2002) Modeling of freeze layers and refractory wear in direct smelting processes. Iron & Steel Maker, 29 (9). pp. 41-45. ISSN 0275-8687

Slone, A.K., Pericleous, K. ORCID: 0000-0002-7426-9999 , Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2002) Dynamic fluid–structure interaction using finite volume unstructured mesh procedures. Computers and Structures, 80 (5-6). pp. 371-390. ISSN 0045-7949 (doi:https://doi.org/10.1016/S0045-7949(01)00177-8)

Cross, Mark, Bailey, Christopher ORCID: 0000-0002-9438-3879 , Pericleous, Koulis ORCID: 0000-0002-7426-9999 , Williams, Alison, Bojarevics, Valdis ORCID: 0000-0002-7326-7748 , Croft, Nick and Taylor, Gary (2002) The multiphysics modeling of solidification and melting processes. JOM (The Member Journal of The Minerals, Metals & Materials Society), 2002 (Supp.). ISSN 1047-4838

Stoyanov, S. ORCID: 0000-0001-6091-1226 , Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2002) Optimisation modelling for flip-chip solder joint reliability. Soldering and Surface Mount Technology, 14 (1). pp. 49-58. ISSN 0954-0911 (doi:https://doi.org/10.1108/09540910210416477)

Walshaw, Christopher ORCID: 0000-0003-0253-7779 and Cross, Mark (2001) Multilevel mesh partitioning for heterogeneous communication networks. Future Generation Computer Systems, 17 (5). pp. 601-623. ISSN 0167-739X (doi:https://doi.org/10.1016/S0167-739X(00)00107-2)

Ierotheou, C.S., Johnson, S.P., Leggett, P.F., Cross, M., Evans, E.W., Jin, H., Frumkin, M. and Yan, J. (2001) The semi-automatic parallelisation of scientific application codes using a computer aided parallelisation toolkit. Scientific Programming, 9 (2-3). pp. 163-173. ISSN 1058-9244 (Print), 1875-919X (Online)

Benson, M., Bennett, C.R., Harry, J.E., Patel, M.K. and Cross, M. (2000) The recovery mechanism of platinum group metals from catalytic converters in spent automotive exhaust systems. Resources, Conservation and Recycling, 31 (1). pp. 1-7. ISSN 0921-3449 (doi:https://doi.org/10.1016/S0921-3449(00)00062-8)

Leggett, P.F., Johnson, S.P and Cross, M. (2000) CAPLib - A 'thin layer' message passing library to support computational mechanics codes on distributed memory parallel systems. Advances in Engineering Software, 32 (1). pp. 61-83. ISSN 0965-9978 (doi:https://doi.org/10.1016/S0965-9978(00)00056-9)

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and McManus, K. (2000) Multiphase mesh partitioning. Applied Mathematical Modelling, 25 (2). pp. 123-140. ISSN 0307-904X

Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (2000) Parallel optimisation algorithms for multilevel mesh partitioning. Parallel Computing, 26 (12). pp. 1635-1660. ISSN 0167-8191 (doi:https://doi.org/10.1016/S0167-8191(00)00046-6)

Lu, Hua ORCID: 0000-0002-4392-6562 , Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2000) Reliability analysis of flip chip designs via computer simulation. Journal of Electronic Packaging, 122 (3). pp. 214-219. ISSN 1528-9044 (Print), 1043-7398 (Online) (doi:https://doi.org/10.1115/1.1286122)

Bounds, S., Moran, G., Pericleous, K. ORCID: 0000-0002-7426-9999 , Cross, M. and Croft, T.N. (2000) A computational model for defect prediction in shape castings based on the interaction of free surface flow, heat transfer, and solidification phenomena. Metallurgical and Materials Transactions B, 31 (3). pp. 515-527. ISSN 1073-5623 (Print), 1543-1916 (Online) (doi:https://doi.org/10.1007/s11663-000-0157-1)

McManus, Kevin, Cross, Mark, Walshaw, Chris ORCID: 0000-0003-0253-7779 , Johnson, Steve and Leggett, Peter (2000) A scalable strategy for the parallelization of multiphysics unstructured mesh-iterative codes on distributed-memory systems. The International Journal of High Performance Computing Applications, 14 (2). pp. 137-174. ISSN 1094-3420 (Print), 1741-2846 (Online) (doi:https://doi.org/10.1177/109434200001400203)

Evans, E.W., Johnson, S.P., Leggett, P.F. and Cross, M. (2000) Automatic and effective multi-dimensional parallelisation of structured mesh based codes. Parallel Computing, 26 (6). pp. 677-703. ISSN 0167-8191 (doi:https://doi.org/10.1016/S0167-8191(00)00004-1)

Wheeler, D., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2000) Numerical modelling and validation of Marangoni and surface tension phenomena using the finite volume method. International Journal for Numerical Methods in Fluids, 32 (8). pp. 1021-1047. ISSN 0271-2091 (Print), 1097-0363 (Online) (doi:https://doi.org/10.1002/(SICI)1097-0363(20000430)32:8<1021::AID-FLD998>3.0.CO;2-1)

Fallah, N.A., Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M. and Taylor, G.A. (2000) Comparison of finite element and finite volume methods application in geometrically nonlinear stress analysis. Applied Mathematical Modelling, 24 (7). pp. 439-455. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(99)00047-5)

Benson, M., Bennett, C.R., Patel, M.K., Harry, J.E. and Cross, M. (2000) Collector-metal behaviour in the recovery of platinum-group metals from catalytic converters. Transactions of the Institute of Mining and Metallurgy, Section C: Mineral Processing and Extractive Metallurgy, 109 (1). pp. 6-10. ISSN 0371-9553 (Print), 1743-2855 (Online) (doi:https://doi.org/10.1179/mpm.2000.109.1.6)

Bojarevics, V. ORCID: 0000-0002-7326-7748 , Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (2000) Modeling the dynamics of Magnetic Semilevitation Melting. Metallurgical and Materials Transactions B, 31 (1). pp. 179-189. ISSN 1073-5623 (Print), 1543-1916 (Online) (doi:https://doi.org/10.1007/s11663-000-0143-7)

Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (2000) Mesh partitioning: a multilevel balancing and refinement algorithm. SIAM Journal on Scientific Computing, 22 (1). pp. 63-80. ISSN 1064-8275 (Print), 1095-7197 (Online) (doi:https://doi.org/10.1137/S1064827598337373)

Bailey, Christopher ORCID: 0000-0002-9438-3879 , Wheeler, Daniel and Cross, Mark (1999) An integrated modeling approach to solder joint formation. IEEE Transactions on Components and Packaging Technology, 22 (4). pp. 497-502. ISSN 1521-3331 (doi:https://doi.org/10.1109/6144.814964)

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M., Diekmann, R. and Schlimbach, F. (1999) Multilevel mesh partitioning for optimizing domain shape. The International Journal of High Performance Computing Applications, 13 (4). pp. 334-353. ISSN 1094-3420 (Print), 1741-2846 (Online) (doi:https://doi.org/10.1177/109434209901300404)

McManus, K., Johnson, S.P. and Cross, M. (1999) Converting best manual practice into generic automatable strategies for unstructured mesh parallelisation. Concurrency: Practice and Experience, 11 (11). pp. 593-614. ISSN 1040-3108 (doi:https://doi.org/10.1002/(SICI)1096-9128(199909)11:11<593::AID-CPE446>3.0.CO;2-L)

Bailey, C. ORCID: 0000-0002-9438-3879 , Bounds, S., Cross, M., Moran, G, Pericleous, K. ORCID: 0000-0002-7426-9999 and Taylor, G. (1999) Multiphysics modeling and its application to the casting process. CMSE: Computer Modelling & Simulation in Engineering, 4 (3). pp. 206-212. ISSN 1083-3455

Bailey, C. ORCID: 0000-0002-9438-3879 , Taylor, G.A., Cross, M. and Chow, P. (1999) Discretisation procedures for multi-physics phenomena. Journal of Computational and Applied Mathematics, 103 (1). pp. 3-17. ISSN 0377-0427 (doi:https://doi.org/10.1016/S0377-0427(98)00236-2)

Cross, Mark and Blot, Philippe (1999) Optimizing the operation of straight-grate iron-ore pellet induration systems using process models. Metallurgical and Materials Transactions B, 30 (4). pp. 803-813. ISSN 1073-5615 (Print), 1543-1916 (Online) (doi:https://doi.org/10.1007/s11663-999-0042-5)

Davis, Mark, Pericleous, Koulis ORCID: 0000-0002-7426-9999 , Cross, Mark and Schwartz, Philip (1998) Mathematical modelling tools for optimisation of direct smelting processes. Applied Mathematical Modelling, 22 (11). pp. 921-940. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(98)10037-9)

Pericleous, K.A. ORCID: 0000-0002-7426-9999 , Moran, G.J., Bounds, S.M., Chow, P. and Cross, M. (1998) Three-dimensional free surface modelling in an unstructured mesh environment for metal processing applications. Applied Mathematical Modelling, 22 (11). pp. 895-906. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(98)10033-1)

Rafii-Tabar, Hashem, Lu, Hua ORCID: 0000-0002-4392-6562 and Cross, Mark (1998) A multi-scale atomistic-continuum modelling of crack propagation in a two-dimensional macroscopic plate. Journal of Physics: Condensed Matter, 10 (11). pp. 2375-2387. ISSN 0953-8984 (Print), 1361-648X (Online) (doi:https://doi.org/10.1088/0953-8984/10/11/003)

Rafii-Tabar, H., Lu, Hua ORCID: 0000-0002-4392-6562 and Cross, Mark (1998) Multiscale numerical modelling of crack propagation in two-dimensional metal plate. Materials Science and Technology, 14 (6). pp. 544-548. ISSN 0267-0836 (Print), 1743-2847 (Online) (doi:https://doi.org/10.1179/mst.1998.14.6.544)

Bailey, Chris ORCID: 0000-0002-9438-3879 , Wheeler, Daniel and Cross, Mark (1998) Numerical modelling of solder joint formation. Soldering & Surface Mount Technology, 10 (2). pp. 6-13. ISSN 0954-0911 (doi:https://doi.org/10.1108/09540919810219912)

Wheeler, D., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (1998) A computational modelling framework to predict macroscopic phenomena in solder joint formation. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 212 (2). pp. 141-157. ISSN 0954-4054 (Print), 2041-2975 (Online) (doi:https://doi.org/10.1243/0954405981515563)

Rafii-Tabar, H., Hua, L. and Cross, M. (1998) A multi-scale numerical modelling of crack propagation in a 2D metallic plate. Journal of Computer-Aided Materials Design, 4 (3). pp. 165-173. ISSN 0928-1045 (Print), 1573-4900 (Online) (doi:https://doi.org/10.1023/A:1008674520573)

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M.G. (1997) Parallel dynamic graph-partitioning for unstructured meshes. Journal of Parallel and Distributed Computing, 47 (2). pp. 102-108. ISSN 0743-7315 (doi:https://doi.org/10.1006/jpdc.1997.1407)

Evans, E.W., Johnson, S.P., Leggett, P.F. and Cross, M. (1997) Automatic code generation of overlapped communications in a parallelisation tool. Parallel Computing, 23 (10). pp. 1493-1523. ISSN 0167-8191 (doi:https://doi.org/10.1016/S0167-8191(97)00069-0)

Lu, Hua ORCID: 0000-0002-4392-6562 , Rafii-Tabar, H. and Cross, M. (1997) Molecular dynamics simulation of fractures using an N-body potential. Philosophical Magazine Letters, 75 (5). pp. 237-244. ISSN 0950-0839 (Print), 1362-3036 (Online) (doi:https://doi.org/10.1080/095008397179480)

Lu, Hua ORCID: 0000-0002-4392-6562 , Rafii-Tabar, H. and Cross, M. (1997) Molecular dynamics simulation of fractures using an N-body potential. Philosophical Magazine Letters, 75 (5). pp. 237-244. ISSN 0950-0839 (Print), 1362-3036 (Online) (doi:https://doi.org/10.1080/095008397179480)

Pericleous, K.A. ORCID: 0000-0002-7426-9999 , Cross, M., Moran, G., Chow, P. and Chan, K.S. (1996) Free surface Nvier-Stokes flows with simultaneous heat transfer and solidification/melting. Advances in Computational Mathematics, 6 (1). pp. 295-308. ISSN 1019-7168 (Print), 1572-9044 (Online) (doi:https://doi.org/10.1007/BF02127709)

Cross, Mark (1996) Computational issues in the modelling of materials-based manufacturing processes. Journal of Computer-Aided Materials Design, 3 (1-3). pp. 100-116. ISSN 0928-1045 (Print), 1573-4900 (Online) (doi:https://doi.org/10.1007/BF01185643)

Bailey, C. ORCID: 0000-0002-9438-3879 , Chow, P., Cross, M., Fryer, Y. and Pericleous, K. ORCID: 0000-0002-7426-9999 (1996) Multiphysics modelling of the metals casting process. Proceedings of the Royal Society A, 452 (1946). pp. 459-486. ISSN Online: 1471-2946 (doi:https://doi.org/10.1098/rspa.1996.0024)

Versluis, A., Douglas, W.H., Cross, M. and Sakaguchi, R.L. (1996) Does an incremental filling technique reduce polymerization shrinkage stresses. Journal of Dental Research, 75 (3). pp. 871-878. ISSN 0022-0345 (Print), 1544-0591 (Online) (doi:https://doi.org/10.1177/00220345960750030301)

Ierotheou, C.S., Johnson, S.P., Cross, M. and Leggett, P.F. (1996) Computer aided parallelisation tools (CAPTools) — conceptual overview and performance on the parallelisation of structured mesh codes. Parallel Computing, 22 (2). pp. 163-195. ISSN 0167-8191 (doi:https://doi.org/10.1016/0167-8191(95)00004-6)

Leggett, P.F., Marsh, A.T.J., Johnson, S.P. and Cross, M. (1996) Integrating user knowledge with information from parallelisation tools to facilitate the automatic generation of efficient parallel FORTRAN code. Parallel Computing, 22 (2). pp. 259-288. ISSN 0167-8191 (doi:https://doi.org/10.1016/0167-8191(95)00003-8)

Chow, P., Cross, Mark and Pericleous, Koulis A. ORCID: 0000-0002-7426-9999 (1996) A natural extension of the conventional finite volume method into polygonal unstructured meshes for CFD application. Applied Mathematical Modelling, 20 (2). pp. 170-183. ISSN 0307-904X (doi:https://doi.org/10.1016/0307-904X(95)00156-E)

Johnson, S.P., Ierotheou, C.S. and Cross, M. (1996) Automatic parallel code generation for message passing on distributed memory systems. Parallel Computing, 22 (2). pp. 227-258. ISSN 0167-8191 (doi:https://doi.org/10.1016/0167-8191(96)00005-1)

Pericleous, K. ORCID: 0000-0002-7426-9999 , Hughes, M., Cross, M., Cook, D., Bojarevics, V. ORCID: 0000-0002-7326-7748 and Tinios, G. (1996) Computational magnetohydrodynamics - Application. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 76 (S4). pp. 113-116. ISSN 0044-2267 (Print), 1521-4001 (Online) (doi:https://doi.org/10.1002/zamm.19960761408)

Johnson, S.P., Cross, M. and Everett, Martin (1996) Exploitation of symbolic information in interprocedural dependence analysis. Parallel Computing, 22 (2). pp. 197-226. ISSN 0167-8191 (doi:https://doi.org/10.1016/0167-8191(96)00002-6)

Pericleous, K. ORCID: 0000-0002-7426-9999 , Cross, M., Hughes, M. and Cook, D. (1996) Mathematical modelling of the solidification of liquid tin with electromagnetic stirring. Magnetohydrodynamics, 32 (4). pp. 443-450. ISSN 0024-998X

Cross, Mark (1996) Modelling of industrial multi-physics processes—a key role for computational mechanics. IMA Journal of Mathematics for Business and Industry, 7 (1). pp. 3-21. ISSN 0953-0061 (doi:https://doi.org/10.1093/imaman/7.1.3-a)

Bailey, C. ORCID: 0000-0002-9438-3879 , Clapham, S., Cross, M., Dixon, T., Wolfe, S. and Norman, P. (1996) Modelling stress evolution during cable fabrication. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 76 (S4). pp. 97-100. ISSN 0044-2267 (Print), 1521-4001 (Online) (doi:https://doi.org/10.1002/zamm.19960761408)

Cross, M., Lyster, C, Bailey, C. ORCID: 0000-0002-9438-3879 , Croft, N., Ewer, J. ORCID: 0000-0003-0609-272X , Leggett, P., McManus, K., Pericleous, K.A. ORCID: 0000-0002-7426-9999 and Patel, M.K. (1996) PHYSICA - A software environment for the modelling of multi-physics phenomena. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 76 (S4). pp. 105-108. ISSN 0044-2267 (Print), 1521-4001 (Online) (doi:https://doi.org/10.1002/zamm.19960761408)

Chow, P., Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M. and Pericleous, K.A. ORCID: 0000-0002-7426-9999 (1996) The numerical modelling of multi-physics phenomena: The shape casting process. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 76 (S4). pp. 101-104. ISSN 0044-2267 (Print), 1521-4001 (Online) (doi:https://doi.org/10.1002/zamm.19960761408)

Hughes, M., Pericleous, K.A. ORCID: 0000-0002-7426-9999 and Cross, M. (1995) The numerical modelling of DC electromagnetic pump and brake flow. Applied Mathematical Modelling, 19 (12). pp. 713-723. ISSN 0307-904X (doi:https://doi.org/10.1016/0307-904X(95)00110-6)

Pericleous, K.A. ORCID: 0000-0002-7426-9999 , Chan, K.S. and Cross, M. (1995) Free-surface flow and heat transfer in cavities - The SEA algorithm. Numerical Heat Transfer Part B, 27 (4). pp. 487-507. ISSN 1040-7790 (Print), 1521-0626 (Online) (doi:https://doi.org/10.1080/10407799508914969)

Hughes, M., Pericleous, K.A. ORCID: 0000-0002-7426-9999 and Cross, M. (1994) The CFD analysis of simple parabolic and elliptic MHD flows. Applied Mathematical Modelling, 18 (3). pp. 150-155. ISSN 0307-904X (doi:https://doi.org/10.1016/0307-904X(94)90257-7)

Patel, M.K., Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (1993) Numerical modelling of circulating fluidized beds. International Journal of Computational Fluid Dynamics, 1 (2). pp. 161-176. ISSN 1061-8562 (Print), 1029-0257 (Online) (doi:https://doi.org/10.1080/10618569308904470)

Chan, K. S., Pericleous, Kyriacos ORCID: 0000-0002-7426-9999 and Cross, Mark (1991) Numerical simulation of flows encountered during mold-filling. Applied Mathematical Modelling, 15 (11-12). pp. 624-631. ISSN 0307-904X (doi:https://doi.org/10.1016/S0307-904X(09)81008-1)

Book Section

Chapelle, P., Christakis, N., Abou-Chakra, H., Tuzun, U., Bridle, I., Bradley, M.S.A., Patel, M.K. and Cross, M. (2003) Computational modelling of particle degradation in dilute phase pneumatic conveyors. In: Kumar, Vipin, Gavrilova, Marina L., Tan, Chih Jeng Kenneth and L’Ecuyer, Pierre, (eds.) Computational Science and Its Applications - ICCSA 2003. International Conference Montreal, Canada, May 18–21, 2003 Proceedings. Lecture Notes in Computer Science, Part I (2667). Springer, Berlin Heidelberg, pp. 493-502. ISBN 9783540401551 (doi:https://doi.org/10.1007/3-540-44839-X_53)

Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (2002) Dynamic mesh partitioning and load-balancing for parallel computational mechanics codes. In: Topping, B.H.V., (ed.) Computational Mechanics using High Performance Computing. Computational Science, Engineering & Technology (9). Saxe-Coburg Publications, Kippen, Stirling, Scotland, pp. 79-94. ISBN 1874672075 (doi:https://doi.org/10.4203/csets.9.4)

Stoyanov, S. ORCID: 0000-0001-6091-1226 , Bailey, C. ORCID: 0000-0002-9438-3879 , Lu, H. ORCID: 0000-0002-4392-6562 and Cross, M. (2002) Integrated computational mechanics and optimization for design of electronic components. In: Parmee, Ian C. and Hajela, Prabhat, (eds.) Optimization In Industry. Springer Verlag, pp. 57-71. ISBN 9781852338342

Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (2002) Parallel mesh partitioning on distributed memory systems. In: Topping, B.H.V., (ed.) Computational Mechanics using High Performance Computing. Computational Science, Engineering & Technology (9). Saxe-Coburg Publications, Kippen, Stirling, Scotland, pp. 59-78. ISBN 1874672075 (doi:https://doi.org/10.4203/csets.9.3)

Cross, M., Bailey, C. ORCID: 0000-0002-9438-3879 , Pericleous, K. ORCID: 0000-0002-7426-9999 , McManus, K., Bounds, S., Moran, G., Taylor, G. and Wheeler, D. (2000) The role of multi-physics simulation in virtual manufacturing. Virtual Design and Manufacture (IMechE Seminar Publications). Wiley-Blackwell, pp. 11-26. ISBN 978-1860583148

Rodrigues, J. N., Johnson, S. P., Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (1999) Automatic implementation of dynamic load balancing strategies for structured computational mechanics codes. In: Topping, B.H.V., (ed.) Developments in Computational Mechanics with High Performance Computing. Civil-Comp Press, Edinburgh, UK, pp. 41-47. ISBN 0 948 749 59 8 (doi:https://doi.org/10.4203/ccp.57.2.4)

Cross, M., McManus, K., Johnson, S.P., Ierotheou, C.S., Walshaw, C. ORCID: 0000-0003-0253-7779 , Bailey, C. ORCID: 0000-0002-9438-3879 and Pericleous, K.A. ORCID: 0000-0002-7426-9999 (1999) Computational modelling of multi-physics processes on high performance parallel computer systems. In: Allan, R.J., Guest, M.F., Simpson, A.D., Henty, D.S. and Nicole, D.A., (eds.) High-Performance Computing. Springer US, pp. 91-102. ISBN 978-0-306-46034-0 (doi:https://doi.org/10.1007/978-1-4615-4873-7_10)

Bojarevics, V. ORCID: 0000-0002-7326-7748 , Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (1999) Dynamics of an axisymmetric electromagnetic 'crucible' melting. In: Alemany, A., Marty, Ph. and Thibault, J. P., (eds.) Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows: Selected papers of the PAMIR Conference held in Aussois, France 22–26 September 1997. Fluid Mechanics and Its Applications, 51 . Springer Netherlands, Netherlands, pp. 345-357. ISBN 978-94-010-6002-8 (doi:https://doi.org/10.1007/978-94-011-4764-4)

Bojarevics, V. ORCID: 0000-0002-7326-7748 , Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (1999) Dynamics of an axisymmetric electromagnetic ‘crucible’ melting. In: Alemany, A., Marty, Ph. and Thibault, J.P., (eds.) Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows. Selected papers of the PAMIR Conference held in Aussois, France 22–26 September 1997. Fluid Mechanics and Its Applications, Pt III (51). Springer Netherlands / Kluwer Academic Publishers, pp. 345-357. ISBN 978-94-010-6002-8 (doi:https://doi.org/10.1007/978-94-011-4764-4_24)

McManus, K., Cross, M., Johnson, S. and Leggett, P. (1999) Issues and strategies in the parallelisation of unstructured multiphysics code. In: Topping, B.H.V., (ed.) Parallel and Distributed Processing for Computational Mechanics: Systems and Tools. Saxe-Coburg Publications, Stirlingshire, UK, pp. 158-179. ISBN 9781874672036 ISSN 1759-3158 (doi:https://doi.org/10.4203/csets.2.8)

Schlimbach, F., Cross, M., Walshaw, C. ORCID: 0000-0003-0253-7779 and Diekmann, R. (1999) Load balancing for aspect ratio in adaptive finite element simulations. In: Topping, B.H.V., (ed.) Developments in Computational Mechanics with High Performance Computing. Civil-Comp Press, Edinburgh, UK, pp. 21-30. ISBN 0 948 749 59 8 (doi:https://doi.org/10.4203/ccp.57.2.2)

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M. (1999) Mesh partitioning and load balancing for distributed memory parallel architectures. In: Topping, B.H.V., (ed.) Parallel and Distributed Processing for Computational Mechanics: Systems and Tools. Civil-Comp Press, Edinburgh, UK, pp. 110-123. ISBN 1-874672-03-2

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M., Diekmann, R. and Schlimbach, F. (1999) Multilevel mesh partitioning for optimising aspect ratio. In: Hernández, Vicente, Palma, José M.L.M. and Dongarra, Jack J., (eds.) Vector and Parallel Processing – VECPAR’98: Third International Conference, Porto, Portugal, June 21-23, 1998. Selected Papers and Invited Talks. Lecture Notes in Computer Science (1573). Springer Berlin Heidelberg, Berlin, Heidelberg, Germany, pp. 285-300. ISBN 9783540662280 (doi:https://doi.org/10.1007/10703040_23)

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M., Diekmann, R. and Schlimbach, F. (1999) Multilevel mesh partitioning for optimising subdomain aspect ratio. Developments in Computational Mechanics with High Performance Computing. Civil-Comp Press, Edinburgh, UK, pp. 9-19. ISBN 0 948 749 59 8 (doi:https://doi.org/10.4203/ccp.57.2.1)

Cross, M., Ierotheou, C. S., Johnson, S. P., Leggett, P. F. and Evans, E. W. (1999) Software tools for automating the parallelisation of FORTRAN computational mechanics codes. In: Topping, B.H.V., (ed.) Parallel and Distributed Processing for Computational Mechanics: Systems and Tools. Saxe-Coburg Publications, Stirlingshire, UK, pp. 46-76. ISBN 1 874672 03 2 (doi:https://doi.org/10.4203/csets.2.3)

Pericleous, K. ORCID: 0000-0002-7426-9999 , Hughes, M. and Cross, M. (1998) Convection-diffusion in MHD: Comparison of primitive variable and vector potential solutions of the magnetic induction equation. In: Eldabaghi, F., Morgan, K., Parrott, K. and Periaux, J., (eds.) Approximations and Numerical Methods for the Solution of Maxwell's Equations. Oxford University Press, pp. 227-250. ISBN 0 19 851483 2

Bailey, Christopher ORCID: 0000-0002-9438-3879 , Cross, Mark, Taylor, G. and Wheeler, D. (1997) Modelling inter-body contacts in a multiphysics framework. In: Rahnejat, Homer and Whalley, Robert, (eds.) Multi-body dynamics: monitoring and simulation techniques. Mechanical Engineering Publications, pp. 149-160. ISBN 1 86058 064 5

Book

Walshaw, Chris ORCID: 0000-0003-0253-7779 , Cross, Mark and McManus, Kevin (1999) Multiphase mesh partitioning. CMS Press (University of Greenwich), London, UK. ISBN 978-1899991525

Edited Book

Ierotheou, Constantinos, Johnson, Stephen and Cross, Mark (eds.) (1998) An extension of the standard Omega test for the parallelisation of computational mechanics codes containing arrays with mapped indices. CMS Press, London, UK. ISBN 9781899991341

Conference Proceedings

Christakis, Nicholas, Patel, Mayur, Cross, Mark and Tüzün, Ugur (2012) On the modelling of complex systems: methodologies and applications. In: The Ninth International Symposium on Distributed Computing and Applications to Business, Engineering and Science, DCABES 2010. Distributed Computing and Applications to Business, Engineering and Science, DCABES . Institute of Electrical and Electronics Engineers, Inc., Piscataway, NJ, USA, pp. 40-45. ISBN 978-0-7695-4110-5 (doi:https://doi.org/10.1109/DCABES.2010.15)

Christakis, Nicholas, Chapelle, Pierre, Patel, Mayur K. and Cross, Mark (2006) On the continuum modelling of segregation of granular mixtures during hopper emptying in core flow mode. In: European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006 Proceedings. TU Delft, The Netherlands, The Netherlands. ISBN 9090209700

McBride, Diane, Croft, Nick and Cross, Mark (2003) Combined vertex-based - cell-centred finite volume method for flows in complex geometries. In: The 3rd International Conference on CFD in the Minerals and Process Industries [Proceedings]. CSIRO Publishing, Collingwood, Victoria, Australia, pp. 351-356. ISBN 978064309038X

Cross, M., Croft, T.N., Djambazov, G. ORCID: 0000-0001-8812-1269 and Pericleous, K. ORCID: 0000-0002-7426-9999 (2003) Computational modelling of bubbles, droplets and particles in metals reduction and refining. In: The 3rd International Conference on CFD in the Minerals and Process Industries [Proceedings]. CSIRO Publishing, Collingwood, Victoria, Australia, pp. 47-52. ISBN 978064309038X

Mouchmov, A., Voller, V.R., Cross, M., Croft, T.N. and Pericleous, K. ORCID: 0000-0002-7426-9999 (2003) Macro-segregation of multi-component alloys in shape casting simulation. In: Proceedings of the Tenth International Conference on Modeling of Casting, Welding and Advanced Solidification Processes. The Mineral, Metals and Materials Society (TMS), Warrendale, PA, USA, p. 277. ISBN 0873395557

Bennett, C.R., Cross, M., Croft, T.N., Uhrie, J., Green, C. and Gebhardt, J. (2003) A comprehensive copper stockpile leach model: background and model formulation. In: Hydrometallurgy 2003. Proceedings of the Fifth International Conference. Honoring Professor Ian M. Ritchie. TMS (The Minerals, Metals & Materials Society), Pennsylvania, USA, pp. 315-328. ISBN 0873395549

Bennett, C.R., Cross, M., Uhrie, J.L., Green, C.R. and Gebhardt, J.E. (2003) A comprehensive copper stockpile leach model: background and parameter sensitivity. In: Proceedings of the Copper 2003-Cobre 2003, the 5th International Conference. Canadian Institute of Mining, Metallurgy and Petroleum, Montreal, Quebec, Canada, pp. 563-579. ISBN 1894475402

Williams, A.J., Slone, A.K., Croft, T.N. and Cross, M. (2003) A mixed Eulerian-Lagrangian approach for metal extrusion. In: Proceedings of the 6th ESAFORM Conference on Material Forming, 28-30 April 2003, Salerno, Italy. Nuova Ipsa Editore, Palermo, Italy, pp. 663-666. ISBN 8876762116

Christakis, Nicholas, Patel, Mayur K., Cross, Mark, Baxter, John, Abou-Chakra, Hadi and Tuzun, Ugur (2002) Predictions of segregation of granular material with the aid of PHYSICA, a 3-D unstructured finite-volume modelling framework. In: International Journal for Numerical Methods in Fluids. Special Issue: ICFD Conference on Numerical Methods for Fluid Dynamics. John Wiley & Sons, Ltd., pp. 281-291. ISSN 0271-2091 (Print), 1097-0363 (Online) (doi:https://doi.org/10.1002/fld.319)

Williams, A.J., Croft, T.N. and Cross, M. (2002) Computational modelling of metals forming processes. In: The 5th International EASFORM Conference on Material Forming [Proceedings]. Akapit Publishing, Kraków, Poland, pp. 67-70. ISBN 8371080980

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and McManus, K. (2002) Multiphase mesh partitioning for parallel computational mechanics codes. In: Computational Science — ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings. Lecture Notes in Computer Science, II (2330). Springer Berlin Heidelberg, Berlin, Heidelberg, Germany, pp. 943-952. ISBN 9783540435938 ISSN 0302-9743 (doi:https://doi.org/10.1007/3-540-46080-2_99)

McManus, Kevin, Cross, Mark, Walshaw, Chris ORCID: 0000-0003-0253-7779 , Croft, Nick and Williams, Alison (2002) Parallel performance in multi-physics simulation. In: Computational Science - ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings. Lecture Notes in Computer Science, II (2330). Springer Berlin Heidelberg, Berlin, Heidelberg, Germany, pp. 806-815. ISBN 9783540435938 ISSN 0302-9743 (doi:https://doi.org/10.1007/3-540-46080-2_85)

Ierotheou, C.S., Johnson, S., Leggett, P. and Cross, M. (2002) The Shared Memory Parallelisation of an Ocean Modelling Code using an Interactive Parallelisation Toolkit. In: Computational Science - ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings. Lecture Notes in Computer Science, II (2330). Springer Berlin Heidelberg, Berlin, Heidelberg, Germany, pp. 953-962. ISBN 9783540435938 ISSN 0302-9743 (doi:https://doi.org/10.1007/3-540-46080-2_100)

Christakis, Nicholas, Chapelle, Pierre, Patel, Mayur, Cross, Mark, Bridle, Ian, Abou-Chakra, Hadi and Baxter, John (2002) Utilising computational fluid dynamics (CFD) for the modelling of granular material in large-scale engineering processes. In: Computational Science - ICCS 2002: International Conference Amsterdam, The Netherlands, April 21–24, 2002 Proceedings. Lecture Notes in Computer Science, Part 1 (2329). Springer Berlin Heidelberg, Berlin, Heidelberg, Germany, pp. 743-752. ISBN 9783540435914 ISSN 0302-9743 (Print), 1611-3349 (Online) (doi:https://doi.org/10.1007/3-540-46043-8_75)

Williams, Alison J., Croft, T. Nicholas and Cross, Mark (2002) The application of free-surface techniques to metal forming processes. In: Finite Volumes for Complex Applications III: Problems and Perspectives. Hermes Penton Science, London, UK, pp. 841-848. ISBN 1903996341

Slone, Avril, Fallah, Nosrat, Bailey, Christopher ORCID: 0000-0002-9438-3879 and Cross, Mark (2002) A finite volume approach to geometrically non-linear stress analysis. In: Finite volumes for complex applications III: problems and perspectives. Hermes Penton Science, London, UK, pp. 663-670. ISBN 9781903996348

Williams, A.J., Croft, T.N. and Cross, M. (2001) Computational modelling of metals extrusion and forging processes. In: Computational Modeling of Materials, Minerals and Metals Processing [Conference Proceedings]. The Mineral, Metals and Materials Society (TMS), Warrendale, PA, USA, pp. 481-490. ISBN 0873395131

Christakis, N., Patel, M.K., Cross, M., Baxter, J., Abou-Chakra, H. and Tüzün, U. (2001) Continuum modelling of granular flows using PHYSICA, a 3-D unstructured, finite-volume code. In: Computational Modeling of Materials, Minerals and Metals Processing [Conference Proceedings]. The Mineral, Metals and Materials Society (TMS), Warrendale, PA, USA, pp. 129-138. ISBN 0873395131

Slone, A.K., Pericleous, K. ORCID: 0000-0002-7426-9999 , Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2001) Details of an integrated approach to three-dimensional dynamic fluid structure interaction. In: Fluid Structure Interaction. WIT Press, Southampton, UK, pp. 57-66. ISBN 1853128813 ISSN 1353-808x

Slone, A.K., Pericleous, K. ORCID: 0000-0002-7426-9999 , Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2001) Dynamic fluid-structure interaction using finite volume unstructured mesh procedures. In: European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006 Proceedings. ECCOMAS. ISBN 0905091124

Stoyanov, S. ORCID: 0000-0001-6091-1226 , Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2001) Integrating computational mechanics and numerical optimization for the design of material properties in electronic packages. In: Computational Modeling of Materials, Minerals and Metals Processing [Conference Proceedings]. The Mineral, Metals and Materials Society (TMS), Warrendale, PA, USA, pp. 551-562. ISBN 0873395131

Slone, A.K., Cross, M., Pericleous, K.A. ORCID: 0000-0002-7426-9999 and Bailey, C. ORCID: 0000-0002-9438-3879 (2001) A finite volume unstructured mesh approach to dynamic fluid-structure interaction: an assessment of the challenge of flutter analysis. In: Trends in Computational Structural Mechanics. International Center for Numerical Methods in Engineering (CIMNE), Barcelona, Spain, pp. 741-750. ISBN 8489925771

Fallah, N.A., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2000) CFD approach for solid mechanics analysis. In: European Congress on Computational Methods in Applied Sciences and Engineering. ECCOMAS 2000. [Proceedings]. ECCOMAS.

Cross, M., Williams, A., Bailey, C., Taylor, G.A., Pericleous, K. ORCID: 0000-0002-7426-9999 and Croft, T.N. (2000) Towards a comprehensive model of the direct chill casting process. In: Modeling of Casting, Welding and Advanced Solidification Processes IX [Proceedings]. Shaker, Aachen, Germany, pp. 713-720. ISBN 3826572300

McManus, K., Cross, M., Walshaw, C. ORCID: 0000-0003-0253-7779 , Johnson, S., Bailey, C. ORCID: 0000-0002-9438-3879 , Pericleous, K. ORCID: 0000-0002-7426-9999 , Slone, A. and Chow, P. (2000) Virtual manufacturing and design in the real world - implementation and scalability on HPPC systems. In: Parallel Computational Fluid Dynamics 1999: Towards Teraflops, Optimization and Novel Formulations. North-Holland, Amsterdam, The Netherlands, pp. 47-56. ISBN 978044482851 (doi:https://doi.org/10.1016/B978-044482851-4.50009-8)

Rodrigues, J.N., Johnson, S.P., Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (2000) An automatable generic strategy for dynamic load balancing in parallel structured mesh CFD codes. In: Parallel Computational Fluid Dynamics 1999: Towards Teraflops, Optimization and Novel Formulations. North-Holland, Amsterdam, The Netherlands, pp. 345-353. ISBN 978044482851 (doi:https://doi.org/10.1016/B978-044482851-4.50043-8)

Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M., Pericleous, K. ORCID: 0000-0002-7426-9999 , Taylor, G., Croft, N., Wheeler, D. and Lu, H. ORCID: 0000-0002-4392-6562 (1999) Finite volume methods for multiphysics problems. In: Finite Volumes for Complex Applications II: Problems and Perspectives. Hermes Science Publications, Paris, France, pp. 585-593. ISBN 978-2746200579

Hughes, M, Leboucher, L., Bojarevics, V. ORCID: 0000-0002-7326-7748 , Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (1999) Finite volumes simulations in magnetohydrodynamics. In: Finite Volumes for Complex Applications II: Problems and Perspectives. Hermes Science Publications, Paris, France, pp. 453-458. ISBN 978-2746200579

Taylor, G., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (1999) Computational solid mechanics using a vertex-based finite volume method. In: Finite Volumes for Complex Applications II: Problems and Prespectives. Hermes Science Publications, Paris, France, pp. 507-515. ISBN 978-2746200579

Aravinthan, V., Johnson, S.P., McManus, K., Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (1999) Dynamic load balancing for multi-physical modelling using unstructured meshes. In: Eleventh International Conference on Domain Decomposition Methods. Domain Decomposition Methods, pp. 374-381. ISBN 82-994951-1-3

McManus, Kevin, Walshaw, Christopher ORCID: 0000-0003-0253-7779 , Johnson, Stephen and Cross, Mark (1999) Partition alignment in three dimensional unstructured mesh multi-physics modelling. In: Parallel Computational Fluid Dynamics 1998: Development and Applications of Parallel Technology. Elsevier B.V., Amsterdam, Netherlands, pp. 459-466. ISBN 978-0-444-82850-7 (doi:https://doi.org/10.1016/B978-044482850-7/50116-9)

Bailey, Christopher ORCID: 0000-0002-9438-3879 , Cross, Mark and Lu, Hua ORCID: 0000-0002-4392-6562 (1999) A parametric study of flip-chip reliability via computer simulation. In: Advances in electronic packaging, 1999: Proceedings of the Pacific RIM/ASME International Intersociety Electronic & Photonic Packaging Conference, InterPACK '99. American Society of Mechanical Engineers, New York, NY, USA, pp. 263-269. ISBN 9780791816127

Cross, M., Bailey, C. ORCID: 0000-0002-9438-3879 , Pericleous, K. ORCID: 0000-0002-7426-9999 , McManus, K., Bounds, S., Moran, G., Taylor, S. and Wheeler, D. (1998) Multi-physics modelling - A vital component of virtual manufacturing. In: AGARD Report 821: Virtual Manufacturing. Advisory Group for Aerospace Research & Development (AGARD), Neuilly-Sur-Seine, France, pp. 13-14. ISBN 92-836-0053-3

Ierotheou, C. S., Johnson, S. P., McManus, K., Leggett, P. F. and Cross, M. (1998) Semi-automatic parallelisation of unstructured mesh codes. In: Parallel Computational Fluid Dynamics '97: Recent Developments and Advances Using Parallel Computers. Elsevier B.V., pp. 545-552. ISBN 9780444828491

Evans, E.W., Johnson, S.P., Leggett, P.F. and Cross, M. (1998) Automatic generation of multi-dimensionally partitioned parallel CFD code in a parallelisation tool. In: Parallel Computational Fluid Dynamics. Recent Developments and Advances Using Parallel Computers. Proceedings of the Parallel CFD '97 Conference, Manchester, U.K. (May 19-21, 1997). Elsievier, Amsterdam, pp. 531-538. ISBN 0444828494

McManus, Kevin, Johnson, Steve, Leggett, Peter and Cross, Mark (1998) Modelling continuum mechanics phenomena using three dimensional unstructured meshes on massively parallel processors. In: Parallel Computational Fluid Dynamics 1997: Recent Developments and Advances Using Parallel Computers. Elsevier B.V., pp. 553-560. ISBN 978-0-444-82849-1 (doi:https://doi.org/10.1016/B978-044482849-1/50066-X)

Cross, M., Bailey, C. ORCID: 0000-0002-9438-3879 , Pericleous, K. ORCID: 0000-0002-7426-9999 , Croft, N., McManus, K., Taylor, G., Bounds, S., Moran, G. and Wheeler, D. (1998) Multi-physics modelling for design optimization and manufacturing on high-performance parallel systems. In: International Conference On Multi-Body Dynamics: New Techniques And Applications. IMechE Conference Transactions, 13 . Institution of Mechanical Engineers, Bury St. Edmunds, UK, pp. 353-363. ISBN 9781860581526

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M. (1998) Parallel dynamic load-balancing for adaptive unstructured meshes. In: Parallel Computational Fluid Dynamics 1997: Recent Developments and Advances Using Parallel Computers. Elsevier B.V., pp. 89-96. ISBN 978-0-444-82849-1 (doi:https://doi.org/10.1016/B978-044482849-1/50012-9)

Arulananthan, A., Johnson, S. P., McManus, K., Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (1998) A generic strategy for dynamic load balancing of distributed memory parallel computational mechanics using unstructured meshes. In: Parallel Computational Fluid Dynamics 1997: Recent Developments and Advances Using Parallel Computers. Elsevier B.V., pp. 43-50. ISBN 978-0-444-82849-1 (doi:https://doi.org/10.1016/B978-044482849-1/50006-3)

Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M., Lyster, C. and Pericleous, K. ORCID: 0000-0002-7426-9999 (1997) Multiphysics modelling of materials processing using finite volume unstructured mesh procedures. In: The Mathematics of Finite Elements and Applications: Highlights 1996. Wiley, pp. 285-299. ISBN 978-0471962700

Johnson, Stephen, Ierotheou, Constantinos and Cross, Mark (1997) Computer aided parallelisation of unstructured mesh codes. In: Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications. CSREA Press, pp. 344-353. ISBN 0964866684

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M. G. (1997) Parallel partitioning of unstructured meshes. In: Parallel Computational Fluid Dynamics: Algorithms and Results Using Advanced Computers. Elsevier B.V., pp. 174-181. ISBN 978-0-444-82327-4 (doi:https://doi.org/10.1016/B978-044482327-4/50088-7)

Conference or Conference Paper

Patel, Mayur, Christakis, Nicholas, Cross, Mark and Chapelle, Pierre (2006) Towards a better understanding of granular material processes: The coupling of a computational fluid dynamics framework with micro-mechanical models. In: The 5th International Conference for Conveying and Handling of Particulate Solids, 27-31 Aug 2006, Sorrento, Italy. (Unpublished)

Cross, M., Walshaw, C. ORCID: 0000-0003-0253-7779 , Williams, A., Slone, A., Croft, T. and McManus, K. (2003) Parallel processing for non-linear problems. In: VII International Conference on Computational Plasticity, 7-10 Apr 2003, Barcelona.

Cross, Mark, Stoyanov, Stoyan ORCID: 0000-0001-6091-1226 , Mouchmov, Apostol, Lu, Hua ORCID: 0000-0002-4392-6562 , Croft, Nick, Slone, Avril, Williams, Alison, Bailey, Chris ORCID: 0000-0002-9438-3879 and Pericleous, Koulis ORCID: 0000-0002-7426-9999 (2003) Multi-physics-multi-scale simulation and optimisation: the next generation. In: NAFEMS World Congress, 2003, Orlando, Florida, USA.

Slone, A.K., Williams, A.J., Grossman, D., Croft, T.N. and Cross, M. (2003) A generic time and space accurate numerical approach to closely coupled fluid-structure interaction problems. In: NAFEMS World Congress 2003, 2003, Orlando, Florida, USA.

Christakis, Nicholas, Chapelle, Pierre, Patel, Mayur K., Wang, Junye, Cross, Mark, Baxter, John, Gröger, Torsten, Abou-Chakra, Hadi, Tüzün, Ugur, Bridle, Ian and Leaper, Mark C. (2002) Mathematical modelling of the behaviour of granular material in a computational fluid dynamics framework using micro-mechanical models. In: 5th World Congress on Computational Mechanics (WCCM V), 7-12 Jul 2002, Vienna, Austria.

Baxter, John, Gröger, Torsten, Abou-Chakra, Hadi, Tüzün, Ugur, Christakis, Nicholas, Patel, Mayur K. and Cross, Mark (2002) Micro-mechanical parameterisations for continuum modelling of granular material using the discrete element method. In: Fifth World Congress on Computational Mechanics (WCCM V), 7-12 Jul 2002, Vienna, Austria.

Slone, A.K., Croft, T.N., Williams, A.J. and Cross, M. (2002) Two fluid approach to high speed impact interaction amongst solid structures. In: Fifth World Congress on Computational Mechanics (WCCM V), 7-12 Jul 2002, Vienna, Austria.

Campbell, Andrew P., Pericleous, Koulis A. ORCID: 0000-0002-7426-9999 and Cross, Mark (2002) Computational modelling of freeze layers in smelting processes. In: 2002 TMS Annual Meeting & Exhibition, 18-21 Feb 2002, Seattle, WA, USA.

Cross, M., Campbell, A., Croft, N., Pericleous, K. A. ORCID: 0000-0002-7426-9999 and Williams, A. (2002) Computational modelling of reduction and smelting processes in the primary metals industries. In: 5th World Congress on Computational Mechanics (WCCM V), 7-12 July 2002, Vienna, Austria.

Xia, Y., Häuser, J., Patel, M.K. and Cross, M. (2001) Feature-oriented grid topology design for aerospace configurations. In: Deutscher Luft- und Raumfahrtkongress 2001, 17-20 Sep 2001, Hamburg, Germany.

Christakis, Nicholas, Patel, Mayur and Cross, Mark (2001) Predictions of Segregation of Granular Material with the Aid of PHYSICA, a 3-D Unstructured Finite-Volume Modelling Framework. In: ICFD Conference on Numerical Methods for Fluid Dynamics, 26-29 March 2001, Oxford, UK.

Christakis, Nicholas, Patel, Mayur and Cross, Mark (2001) Segregation predictions for a binary mixture of granular material under flow conditions in a continuum mechanics framework. In: 2nd European Conference on Computational Mechanics, 26 - 29 June 2001, Cracow, Poland.

Cross, M., Pericleous, K. ORCID: 0000-0002-7426-9999 , Leboucher, L., Croft, T.N., Bojarevics, V. ORCID: 0000-0002-7326-7748 and Williams, A. (2000) Multi-physics modeling of aluminium reduction cells. In: Light Metals 2000, 129th TMS annual meeting, 12-16 Mar 2000, Nashville, TN, USA.

Bojarevics, V. ORCID: 0000-0002-7326-7748 , Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (2000) Modelling turbulent flow dynamics in AC magnetic field. In: 3rd International Symposium on Electromagnetic Processing of Materials (EPM2000), April 3-6, 2000, Nagoya, Japan.

Christakis, Nicholas, Patel, Mayur and Cross, Mark (2000) On the continuum modelling of granular flows with the aid of micro-mechanical parametrisations. In: 8th Annual Conference of the Association for Computational Mechanics in Engineering (ACME 2000), 16-19 April 2000, University of Greenwich, London, UK.

Taylor, G., Breiguine, V., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (2000) An augmented Lagrangian contact algorithm employing a vertex-based finite volume method. In: The 8th Annual Conference of the Association for Computational Mechanics in Engineering (ACME 2000), 16-19 April 2000, University of Greenwich, London, UK.

McManus, Kevin, Johnson, Stephen and Cross, Mark (1999) Communication latency hiding in a parallel conjugate gradient method. In: 11th International Conference on Domain Decomposition Methods in Sciences and Engineering, 1999, Bergen, Norway.

Wheeler, D., Lu, H. ORCID: 0000-0002-4392-6562 , Cross, M., Bailey, C. ORCID: 0000-0002-9438-3879 and McManus, K. (1999) Large scale parallel simulations for the assembly of a flip-chip component to a printed circuit. In: The Pacific Rim/ASME International Intersociety Electronic and Photonic Packaging Conference, June 13-19, 1999, Maui, Hawaii.

Bailey, C. ORCID: 0000-0002-9438-3879 , Bounds, S., Cross, M., Moran, G., Pericleous, K. ORCID: 0000-0002-7426-9999 and Taylor, G. A. (1999) Modelling interacting phenomena during the solidification of metals in the casting process. In: Fluid Flow Phenomena in Metals Processing, February 28 - March 4 1999, San Diego, CA, USA.

Pericleous, K. ORCID: 0000-0002-7426-9999 , Bailey, C. ORCID: 0000-0002-9438-3879 , Cross, M., Taylor, G., Moran, G. and Bounds, S. (1999) Prediction of defects in steel castings with a multi-physics numerical code. In: 2nd European Conference on Steel Structures - Eurosteel'99, 26 - 29 May 1999, Czech Technical University, Prague, Czech Republic.

Slone, Avril, Pericleous, Kyriacos A. ORCID: 0000-0002-7426-9999 , Bailey, Christopher ORCID: 0000-0002-9438-3879 , Cross, Mark and Bennett, Christopher (1999) A finite volume approach to dynamic fluid structure interaction. In: Conference on the Mathematics of Finite Elements and Applications, 22-25 June 1999, Brunel Institute of Computational Mathematics, London, UK.

Lyster, C., Bailey, C. ORCID: 0000-0002-9438-3879 , McManus, K., Addison, C. and Cross, M. (1999) A single-code software model for multiphysics analysis-engine on parallel and distributed computers with the PHYSICA toolkit. In: 11th International Conference on Domain Decomposition Methods in Sciences and Engineering, 1999, Bergen, Norway.

Evans, Emyr, Johnson, Stephen and Cross, Mark (1998) Automatic generation of portable multi-dimensionally decomposed parallel structured mesh software. In: 10th IASTED Internation conference on Parallel and Distributed Computing and Systems, October 28-31, 1998, Las Vegas, NV, USA.

Cross, M., Bailey, C. ORCID: 0000-0002-9438-3879 , Pericleous, K. ORCID: 0000-0002-7426-9999 , Bounds, S., Moran, G., Taylo, G. and McManus, K. (1998) Computational modelling of interacting phenomena in the shape casting process. In: Modelling of Casting, Welding and Advanced Solidification Processes - VIII, June 7–12, 1998, San Diego, CA, USA.

Bounds, S., Moran, G., Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (1998) Finite volume modelling of shrinkage porosity formation in metal casting. In: Modelling of Casting, Welding and Advanced Solidification Processes - VIII, June 7 - 12, 1998, San Diego, CA, USA.

Walshaw, C. ORCID: 0000-0003-0253-7779 and Cross, M. (1998) Load-balancing for parallel adaptive unstructured grids. In: 6th Annual Conference on Numerical Grid Generation in Computational Field Simulations, 6 - 9 July 1998, London, UK.

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M., Diekmann, R. and Schlimbach, F. (1998) Multilevel mesh partitioning for aspect ratio. In: 3rd Internatinal Meeting on Vector & Parallel Processing - VECPAR '98, June 21-23, 1998, Porto, Portugal.

Walshaw, Christopher ORCID: 0000-0003-0253-7779 , Cross, Mark and Everett, Martin (1998) Parallel Unstructured Mesh Partitioning. In: 9th International Conference on Domain Decomposition Methods, June 4—7, 1996, Bergen, Norway.

Moran, G., Bounds, S., Pericleous, K. ORCID: 0000-0002-7426-9999 and Cross, M. (1998) Prediction of cold shuts using an unstructured mesh finite volume code. In: Modelling of Casting, Welding and Advanced Solidification Processes - VIII, June 7–12, 1998, San Diego, CA, USA.

McManus, K., Johnson, S., Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Chow, P. (1998) Scalable unstructured mesh decomposition. In: 8th International Parallel Computing Workshop, 7 - 8 September 1998, National University of Singapore, Singapore.

Bailey, Christopher ORCID: 0000-0002-9438-3879 , Cross, Mark and Pericleous, Koulis ORCID: 0000-0002-7426-9999 (1998) A finite-volume computational mechanics framework for multi-physics coupled fluid-stress problems. In: The 27th Israel Mechanical Engineering Conference, 19 - 20 May 1998, Haifa, Israel.

Bojarevics, Valdis ORCID: 0000-0002-7326-7748 , Pericleous, Koulis ORCID: 0000-0002-7426-9999 and Cross, Mark (1998) The spectral modelling of contactless induction melting for reactive metals. In: Modelling of Casting, Welding and Advanced Solidification Processes - VIII, June 1998, San Diego, CA, USA.

Taylor, G. A., Bailey, C. ORCID: 0000-0002-9438-3879 and Cross, M. (1998) A three dimensional finite volume approach to the thermo-mechanical modelling of the shape casting of metals. In: Modelling of Casting, Welding and Advanced Solidification Processes - VIII, June 7–12, 1998, San Diego, CA, USA.

Bailey, C. ORCID: 0000-0002-9438-3879 , Taylor, G., Bounds, S., Moran, G. and Cross, M. (1997) PHYSICA: A multiphysics computational framework and its application to casting simulations. In: International Conference on CFD in Mineral and Metal Processing and Power Generation (CSIRO) 1997, 3 - 4 July 1997, Melbourne, Australia.

Bojarevics, Valdis ORCID: 0000-0002-7326-7748 , Tinios, G., Pericleous, Koulis ORCID: 0000-0002-7426-9999 and Cross, Mark (1997) CFD modelling of magnetic levitation casting. In: Electromagnetic Processing of Materials, 27 - 29 May 1997, Paris, France.

Slone, Avril, Pericleous, Koulis ORCID: 0000-0002-7426-9999 , Bailey, Christopher ORCID: 0000-0002-9438-3879 and Cross, Mark (1997) Dynamic fluid-structure interactions using finite volume unstructured mesh procedures. In: International Forum on Aeroelasticity and Structural Dynamics, June 1997, Rome, Italy.

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M. (1997) Dynamic load-balancing for parallel adaptive unstructured meshes. In: Parallel Processing for Scientific Computing (SIAM), 1997, Philadelphia, PA, USA.

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M. G. (1997) Mesh partitioning and load balancing for distributed memory parallel systems. In: Parallel and Distributed Computing for Computational Mechanics, April 1997, Lochinver, Scotland.

Cross, Mark, McManus, Kevin, Bailey, Christopher ORCID: 0000-0002-9438-3879 , Pericleous, Koulis ORCID: 0000-0002-7426-9999 and Lyster, C. (1997) Multi-physics modelling of materials processes on high performance parallel computers. In: 5th ACME - Computational Mechanics, 7 - 8 April 1997, London, UK.

Bailey, Christopher ORCID: 0000-0002-9438-3879 , Wheeler, Daniel and Cross, Mark (1997) Multiphysics modelling of solder joint formation. In: ASME, EEP - Advances in Electronic Packaging, 15 -19 June 1997, Kohala coast, Hawaii.

Evans, Emyr, Johnson, Stephen, Leggett, Peter and Cross, Mark (1997) Overlapped communications automatically generated in a parallelisation tool. In: High Performance Computing and Networking, April 1997, Vienna, Austria.

Pericleous, K. A. ORCID: 0000-0002-7426-9999 , Moran, G. J., Bounds, S. M., Chow, P. and Cross, M. (1997) Three-dimensional free surface modelling in an unstructured mesh environment for metal processing applications. In: The 1st International Conference on CFD in the Mineral & Metal Processing and Power Generation Industries, 3- 4 July 1997, Melbourne, Australia.

Pericleous, K. ORCID: 0000-0002-7426-9999 , Bojarevics, V. ORCID: 0000-0002-7326-7748 , Cross, M. and Tinios, G. (1997) The development of dynamic CFD model of the magnetic semi-levitation of liquid metals. In: The 1st International Conference on CFD in the Mineral & Metal Processing and Power Generation Industries, 3 - 4 July 1997, Melbourne, Australia.

Working Paper

Yan, J., Frumkin, M., Hribar, M., Jin, H., Waheed, A., Johnson, S., Cross, M., Evans, E., Ierotheou, C. and Leggett, P. (1998) The design and Evaluation of 'CAP Tools' - A computer aided parallelisation tool-kit. [Working Paper] (Unpublished)

Monograph

Walshaw, Christopher ORCID: 0000-0003-0253-7779 and Cross, Mark (2000) Multilevel mesh partitioning for heterogeneous communication networks. Technical Report. CMS Press, London, UK.

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M., Diekmann, R. and Schlimbach, F. (1998) Multilevel mesh partitioning for optimising domain shape. Other. CMS Press (University of Greenwich), London, UK.

Walshaw, Christopher ORCID: 0000-0003-0253-7779 and Cross, Mark (1998) Mesh partitioning: A multilevel balancing and refinement algorithm. Other. CMS Press, London, UK.

Walshaw, Chris ORCID: 0000-0003-0253-7779 and Cross, Mark (1998) Parallel optimisation algorithms for multilevel mesh partitioning. Report. CMS Press, London, UK.

Walshaw, C. ORCID: 0000-0003-0253-7779 , Cross, M. and Everett, M. (1997) Parallel dynamic graph-partitioning for unstructured meshes. Technical Report. CMS Press, London, UK.