.

Rafii-Tabar, H., Lu, Hua ORCID: https://orcid.org/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:10.1179/mst.1998.14.6.544)

3-D mold filling, free surface flows, van Leer scheme, scalar equation method,

Chan, K. S., Pericleous, Kyriacos ORCID: https://orcid.org/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:10.1016/S0307-904X(09)81008-1)

3D flow simulation, CAD, Hopper configuration

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.

CFD modelling, fluidized-beds, multi-phase flow, multi-inter phase slip algorithm,

Patel, M.K., Pericleous, K. ORCID: https://orcid.org/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:10.1080/10618569308904470)

Eulerian, extrusion, finite volume, free surface, non-Newtonian flow

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

HPPC, High Performance Primitive Collections, virtual manufacturing

McManus, K., Cross, M., Walshaw, C. ORCID: https://orcid.org/0000-0003-0253-7779, Johnson, S., Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Pericleous, K. ORCID: https://orcid.org/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:10.1016/B978-044482851-4.50009-8)

Hartmann flow, MHD Couette flow, magnetic boundary layers

Hughes, M., Pericleous, K.A. ORCID: https://orcid.org/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:10.1016/0307-904X(94)90257-7)

Marangoni flow, numerical modelling, surface tension

Wheeler, D., Bailey, C. ORCID: https://orcid.org/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:10.1002/(SICI)1097-0363(20000430)32:8<1021::AID-FLD998>3.0.CO;2-1)

PHYSICA+, copper stockpile leach model, computational modelling

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

algorithm analysis, problem complexity, mathematics of computing, programming techniques, computer communication networks, computational mathematics, numerical analysis

Walshaw, C. ORCID: https://orcid.org/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:10.1007/10703040_23)

algorithms, finite element method, finite volume method, optimization, multilevel algorithms, multilevel mesh partitioning, parallel processing systems

Walshaw, C. ORCID: https://orcid.org/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:10.1177/109434209901300404)

algorithms, segregation (metallography), solidification, thermodynamics, macrosegregation, casting

Mouchmov, A., Voller, V.R., Cross, M., Croft, T.N. and Pericleous, K. ORCID: https://orcid.org/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

assembly, defects, numerical modelling, printed circuit boards, solder joint, solders

Bailey, Chris ORCID: https://orcid.org/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:10.1108/09540919810219912)

axisymmetric electromagnetic crucible melting, industrial induction melting processes

Bojarevics, V. ORCID: https://orcid.org/0000-0002-7326-7748, Pericleous, K. ORCID: https://orcid.org/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:10.1007/978-94-011-4764-4_24)

breakage matrices, dilute-phase pneumatic conveying, impact degradation, numerical simulations

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:10.1163/15685520460740052)

bubbles, computational modelling, metals reduction process,

Cross, M., Croft, T.N., Djambazov, G. ORCID: https://orcid.org/0000-0001-8812-1269 and Pericleous, K. ORCID: https://orcid.org/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

bulk solids, characterisation, discrete element, continuum model, parameterisation

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.

casting defects, multi-physics modelling, alloy solidification

Bounds, S., Moran, G., Pericleous, K. ORCID: https://orcid.org/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:10.1007/s11663-000-0157-1)

casting process, direct chill casting process

Cross, M., Williams, A., Bailey, C., Taylor, G.A., Pericleous, K. ORCID: https://orcid.org/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

computater modelling, coupled heat and moisture transfer, environmental conditions

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:10.1080/10407780490424280)

computational fluid dynamics, (CFD), continuum modelling, micromechanical parametrisations, granular material, core flow, segregation

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

computational fluid dynamics, (CFD), vertex-based - cell-centred, (VB-CC), cell-centred, (CC)

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

computational fluid dynamics, CFD

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)

computational geometry, computer systems programming, data storage equipment, finite volume method, iterative methods, response time (computer systems), distributed-memory systems, parallel processing systems

McManus, Kevin, Cross, Mark, Walshaw, Chris ORCID: https://orcid.org/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:10.1177/109434200001400203)

computational mechanics, design, electronic components

Stoyanov, S. ORCID: https://orcid.org/0000-0001-6091-1226, Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Lu, H. ORCID: https://orcid.org/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

computational mechanics, numerical optimization material properties, electronic packages

Stoyanov, S. ORCID: https://orcid.org/0000-0001-6091-1226, Bailey, C. ORCID: https://orcid.org/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

computational modelling, FV/FE techniques, coating, multiphysics

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:10.1007/BF01185643)

computational modelling, metals extrusion, forging processes

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

computational modelling, multi-physics processes, high performance, parallel computer systems

Cross, M., McManus, K., Johnson, S.P., Ierotheou, C.S., Walshaw, C. ORCID: https://orcid.org/0000-0003-0253-7779, Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879 and Pericleous, K.A. ORCID: https://orcid.org/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:10.1007/978-1-4615-4873-7_10)

computational modelling, particle degradation, dilute phase, pneumatic conveyors

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:10.1007/3-540-44839-X_53)

computational modelling, smelting processes, PHYSICA

Campbell, Andrew P., Pericleous, Koulis A. ORCID: https://orcid.org/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.

continuum modelling, granular flows, PHYSICA, finite-volume code

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

crack propagation, multi-scale modelling, MD-continuum modelling Stochastic modelling

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:10.1023/A:1008674520573)

digital simulation, electronic engineering computing, heat transfer, melting, printed circuit manufacture, soldering, multiphysics modeling, solidification, solder, surface tension, thermal stress

Bailey, Christopher ORCID: https://orcid.org/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:10.1109/6144.814964)

dilute phase pneumatic conveying, impact, degradation tester, breakage matrix

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:10.1163/15685520460740043)

direct chill, (DC), casting, aluminum ingots, fluid flow, heat transfer, solidification phase change, thermomechanical analysis

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:10.1007/s11663-003-0042-9)

distributed memory parallel systems, computational mechanics software, CAPTools

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:10.1016/S0965-9978(00)00056-9)

drect smelting, numerical simulation, multi-phase, post combustion

Davis, Mark, Pericleous, Koulis ORCID: https://orcid.org/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:10.1016/S0307-904X(98)10037-9)

dynamic fluid-structure interaction, (DFSI), numerical modelling, finite volume unstructured mesh

Slone, A.K., Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999, Bailey, C. ORCID: https://orcid.org/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

dynamic load balancing, parallel structured mesh, CFD, computational fluid dynamics

Rodrigues, J.N., Johnson, S.P., Walshaw, C. ORCID: https://orcid.org/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:10.1016/B978-044482851-4.50043-8)

dynamic solid mechanics, finite volume methods

Slone, A.K., Bailey, C. ORCID: https://orcid.org/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:10.1016/S0307-904X(02)00060-4)

electromagnetic processing, materials, EPM

Bojarevics, V. ORCID: https://orcid.org/0000-0002-7326-7748, Pericleous, K. ORCID: https://orcid.org/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.

electromagnetic processing, materials, MHD

Bojarevics, V. ORCID: https://orcid.org/0000-0002-7326-7748, Pericleous, K. ORCID: https://orcid.org/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:10.1007/s11663-000-0143-7)

evolutionary search, genetic algorithms, graph-partitioning, multilevel optimisation

Soper, A. J. ORCID: https://orcid.org/0000-0002-0901-9803, Walshaw, C. ORCID: https://orcid.org/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:10.1023/B:JOGO.0000042115.44455.f3)

explicit scheme, coupling temperature and concentration fields, solidification models

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:10.1016/S0307-904X(03)00115-X)

extrusion, Eulerian, Lagrangian

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

finite element, finite volume, geometrically nonlinear

Fallah, N.A., Bailey, C. ORCID: https://orcid.org/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:10.1016/S0307-904X(99)00047-5)

finite volume, extrusion, forging

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:10.1016/S0924-0136(02)00401-6)

finite volume, solid mechanics, CFD

Fallah, N.A., Bailey, C. ORCID: https://orcid.org/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.

finite volume, stress analysis, non-linear, Lagrangian, Eulerian, Newton Raphson

Slone, Avril, Fallah, Nosrat, Bailey, Christopher ORCID: https://orcid.org/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

finite volume, unstructured mesh, computational fluid dynamics,

Chow, P., Cross, Mark and Pericleous, Koulis A. ORCID: https://orcid.org/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:10.1016/0307-904X(95)00156-E)

finite volume, vertex-based, computational solid mechanics

Taylor, G.A., Bailey, C. ORCID: https://orcid.org/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:10.1002/nme.574)

flip chip, optimization, reliability, underfill

Stoyanov, S. ORCID: https://orcid.org/0000-0001-6091-1226, Bailey, C. ORCID: https://orcid.org/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:10.1108/09540910210416477)

fluid structure interaction, finite volume, transient structural dynamics, geometric conservation law, Newmark algorithm

Slone, A.K., Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999, Bailey, C. ORCID: https://orcid.org/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:10.1016/S0045-7949(01)00177-8)

Slone, A.K., Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999, Bailey, C. ORCID: https://orcid.org/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

fluid structure interaction, finite volume, transient structural dynamics, geometric conservation law, newmark algorithm

Slone, A.K., Cross, M., Pericleous, K.A. ORCID: https://orcid.org/0000-0002-7426-9999 and Bailey, C. ORCID: https://orcid.org/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

fluids engineering descriptors, casting, fluid flow, integration, stress, temperature

Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Bounds, S., Cross, M., Moran, G, Pericleous, K. ORCID: https://orcid.org/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

fluid–structure interaction, finite volume, transient structural dynamics, geometric conservation law, Newmark algorithm

Slone, A.K., Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999, Bailey, C. ORCID: https://orcid.org/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:10.1016/S0307-904X(03)00142-2)

Slone, A.K., Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999, Bailey, C. ORCID: https://orcid.org/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:10.1016/S0307-904X(03)00142-2)

free surface flow, casting, solidification

Pericleous, K.A. ORCID: https://orcid.org/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:10.1007/BF02127709)

granular material, Computational Fluid Dynamics, (CFD), simulation, process engineering industry, modelling, large-scale engineering processes

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:10.1007/3-540-46043-8_75)

granular material, continuum mechanics, micro-mechanical parametrisations

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.

granular material, core flow, segregation, continuum modeling, micro-physical parametrizations,

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:10.1163/156855206778917715)

granular material, segregation, continuum modelling, micro-physical parametrizations

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:10.1002/fld.319)

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.

granular materials, continuum modelling, micro-mechanical parametrizations, segregation, degradation, caking

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:10.1243/095440805X7044)

graph partitioning, mesh partitioning, multilevel optimisation, mapping, meta-computing, SMP clusters

Walshaw, Christopher ORCID: https://orcid.org/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:10.1016/S0167-739X(00)00107-2)

graph-partitioning, adaptive unstructured meshes, load-balancing, parallel computing

Walshaw, C. ORCID: https://orcid.org/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:10.1006/jpdc.1997.1407)

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

graph-partitioning, adaptive unstructured meshes, load-balancing, parallel scientific computation

Walshaw, C. ORCID: https://orcid.org/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.

graph-partitioning, load-balancing, parallel multiphysics

Walshaw, C. ORCID: https://orcid.org/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:10.1007/3-540-46080-2_99)

graph-partitioning, mesh partitioning, load-balancing, multilevel algorithms

Walshaw, C. ORCID: https://orcid.org/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:10.1137/S1064827598337373)

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

graph-partitioning, mesh-partitioning, load-balancing, parallel multiphysics

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

graph-partitioning, unstructured meshes, load-balancing, parallel scientific computation

Walshaw, C. ORCID: https://orcid.org/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.

hybrid modelling, complex systems, modelling strategies, granular material

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:10.1260/1748-3018.7.2.113)

interactive parallelisation tools, global ocean model code, OpenMP shared memory parallelisation, automatic parallel code generation

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:10.1016/S0167-739X(02)00185-1)

load-balancing issues, parallel mesh based computational mechanics codes, graphs, repartitioning, partition quality

Walshaw, C. ORCID: https://orcid.org/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:10.4203/csets.9.4)

magneto-hydrodynamics, electromagnetic pump/brake, CFD, DC magnetic pump, MHD flow, Lorentz force, CFD simulation

Hughes, M., Pericleous, K.A. ORCID: https://orcid.org/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:10.1016/0307-904X(95)00110-6)

magneto-hydrodynamics, metals processing

Pericleous, K. ORCID: https://orcid.org/0000-0002-7426-9999, Hughes, M., Cross, M., Cook, D., Bojarevics, V. ORCID: https://orcid.org/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:10.1002/zamm.19960761408)

manual practice, unstructured mesh parallelisation

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:10.1002/(SICI)1096-9128(199909)11:11<593::AID-CPE446>3.0.CO;2-L)

mathematical modelling, computational mechanics,

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:10.1093/imaman/7.1.3-a)

mathematical modelling, solidification, tin, electromagnetic stirring

Pericleous, K. ORCID: https://orcid.org/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

mechanics, mathematics

Bailey, C. ORCID: https://orcid.org/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:10.1002/zamm.19960761408)

mesh partitioning, load balancing, distributed memory parallel architectures

Walshaw, C. ORCID: https://orcid.org/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

mesh partitioning, load-balancing, multilevel algorithms

Walshaw, C. ORCID: https://orcid.org/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:10.1016/S0167-8191(00)00046-6)

metal casting, free surface flow, heat transfer, solidification, CFD

Pericleous, K.A. ORCID: https://orcid.org/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:10.1080/10407799508914969)

metal forming, free-surface, non-Newtonian flow

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

metals casting,

Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Chow, P., Cross, M., Fryer, Y. and Pericleous, K. ORCID: https://orcid.org/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:10.1098/rspa.1996.0024)

miulti-phsyics, contact, impact, free surface, finite volume

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.

modeling, freeze layers, refractory wear, direct smelting processes

Campbell, A.P., Pericleous, K.A. ORCID: https://orcid.org/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

modelling, crack propagation

Rafii-Tabar, Hashem, Lu, Hua ORCID: https://orcid.org/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:10.1088/0953-8984/10/11/003)

molecular dynamics, fractures, N-body

Lu, Hua ORCID: https://orcid.org/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:10.1080/095008397179480)

molecular dynamics, simulation of fracture, N-body potential

Lu, Hua ORCID: https://orcid.org/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:10.1080/095008397179480)

multi-dimensional partitioning, automatic code generation; NAS parallel benchmarks results, Industrial CFD code results

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:10.1016/S0167-8191(00)00004-1)

multi-physics modelling, CFD software

Cross, M., Lyster, C, Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Croft, N., Ewer, J. ORCID: https://orcid.org/0000-0003-0609-272X, Leggett, P., McManus, K., Pericleous, K.A. ORCID: https://orcid.org/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:10.1002/zamm.19960761408)

multi-physics, multi-scale simulations, computational modelling

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

multiphysics modelling, finite volumes, computational fluid dynamics, computational solid mechanics

Bailey, C. ORCID: https://orcid.org/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:10.1016/S0377-0427(98)00236-2)

numerical approach, fluid structure, computational fluid dynamics, (CFD), computational structural mechanics, (CSM), finite element, (FE), finite volume (FV)

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.

numerical modelling, casting process

Chow, P., Bailey, C. ORCID: https://orcid.org/0000-0002-9438-3879, Cross, M. and Pericleous, K.A. ORCID: https://orcid.org/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:10.1002/zamm.19960761408)

overlapping communications with calculation, pipelines, parallelisation tools, automatic code generation, APPLU and ARC3D results

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:10.1016/S0167-8191(97)00069-0)

parallel applications, meshes, PHYSICA, metal casting, software

Aravinthan, V., Johnson, S.P., McManus, K., Walshaw, C. ORCID: https://orcid.org/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

parallel clusters, multiphysics simulation

McManus, Kevin, Williams, Alison, Cross, Mark, Croft, Nick and Walshaw, Chris ORCID: https://orcid.org/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:10.1177/1094342005051198)

parallel computational fluid dynamics, CFD

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

parallel mesh partitioning algorithms, parallel computers, algorithms, distributed memory systems, final partition

Walshaw, C. ORCID: https://orcid.org/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:10.4203/csets.9.3)

parallel processing, nonlinear problems

Cross, M., Walshaw, C. ORCID: https://orcid.org/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.

parallel programming, shared memory, OpenMP, distributed memory, message passing, CAPTools, semi-automatic parallelisation tools

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)

parallelisation tools, interprocedural dependence analysis

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:10.1016/0167-8191(96)00002-6)

parallelisation tools, interprocedural dependence analysis, automatic parallel code generation

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:10.1016/0167-8191(96)00005-1)

parallelisation tools, interprocedural dependence analysis, automatic parallel code generation, parallel performance results, user interaction

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:10.1016/0167-8191(95)00004-6)

parallelisation tools, interprocedural dependence analysis, user interaction

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:10.1016/0167-8191(95)00003-8)

platinum group metals, recovery mechanism, catalytic converters

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:10.1016/S0921-3449(00)00062-8)

pyrometallurgical process, platinum-group metals, (PGM), computational fluid dynamics, (CFD)

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:10.1179/mpm.2000.109.1.6)

shrinkage, incremental filling, resin composites, stress, finite element analysis

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:10.1177/00220345960750030301)

solder joint, printed circuit boards, model implementation

Wheeler, D., Bailey, C. ORCID: https://orcid.org/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:10.1243/0954405981515563)

solders, computer simulation, reliability, materials properties, geometry, flip-chip, design, event history analysis, solder joints, fatigue

Lu, Hua ORCID: https://orcid.org/0000-0002-4392-6562, Bailey, C. ORCID: https://orcid.org/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:10.1115/1.1286122)

solidification, melting processes, multiphysics, computational modeling, complex geometries

Cross, Mark, Bailey, Christopher ORCID: https://orcid.org/0000-0002-9438-3879, Pericleous, Koulis ORCID: https://orcid.org/0000-0002-7426-9999, Williams, Alison, Bojarevics, Valdis ORCID: https://orcid.org/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

spatial and temporal scales, complex system modelling

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:10.1109/DCABES.2010.15)

straight-grate iron-ore pellet induration systems, process models

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:10.1007/s11663-999-0042-5)

theory of computation, software engineering, software programming, software and operating systems, mathematics of computing, computer communication networks computational mathematics, numerical analysis, mathematical and computational physics

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:10.1007/3-540-46080-2_100)

theory of computation, software engineering/programming and operating systems, mathematics of computing, computer cmmunication networks, computational mathematics and numerical analysis, mathematical and computational physics

McManus, Kevin, Cross, Mark, Walshaw, Chris ORCID: https://orcid.org/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:10.1007/3-540-46080-2_85)

three-dimensional free surface modelling, unstructured mesh environment, metal processing applications

Pericleous, K.A. ORCID: https://orcid.org/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:10.1016/S0307-904X(98)10033-1)