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:10.1260/1748-3018.7.2.113)

Cross, Mark, Croft, Nick, Slone, Avril, Williams, Alison, Christakis, Nicholas, Patel, Mayur, Bailey, Christopher ORCID: https://orcid.org/0000-0002-9438-3879 and Pericleous, Koulis A. ORCID: https://orcid.org/0000-0002-7426-9999 (2007) Computational modelling of multi-physics and multi-scale processes in parallel. International Journal for Computational Methods and Engineering Science and Mechanics, 8 (2). pp. 63-74. ISSN 1550-2287 (doi:10.1080/15502280601149510)

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)

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)

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)

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)

Rafii-Tabar, H., Kamiyama, H. and Cross, Mark (1997) Molecular dynamics simulation of adsorption of Ag particles on a graphite substrate. Surface Science, 385 (1). pp. 187-199. ISSN 0039-6028 (doi:10.1016/S0039-6028(97)00262-8)

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)

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)

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)

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)

Book Section

Walshaw, Christopher ORCID: https://orcid.org/0000-0003-0253-7779 and Cross, Mark (2007) JOSTLE: multilevel graph partitioning software: an overview. Mesh partitioning techniques and domain decomposition techniques. Saxe-Coburg Publications, Stirling, Scotland, UK, pp. 27-58. ISBN 9781874672296 (doi:10.4203/csets.17.2)

Soper, Alan ORCID: https://orcid.org/0000-0002-0901-9803, Walshaw, Christopher ORCID: https://orcid.org/0000-0003-0253-7779 and Cross, Mark (2000) A combined evolutionary search and multilevel approach to graph partitioning. GECCO-2000: proceedings of the Genetic and Evolutionary Computation Conference : a joint meeting of the Ninth International Conference on Genetic Algorithms (ICGA-2000) and the Fifth Annual Genetic Programming Conference (GP-2000), July 10-12, 2000, Las V. Morgan Kaufmann Publishers, San Francisco, USA, pp. 674-681. ISBN 978-1558607088

Bailey, Christopher ORCID: https://orcid.org/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: https://orcid.org/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: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

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)

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)

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)

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: 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

Ewer, J.A.C. ORCID: https://orcid.org/0000-0003-0609-272X, Galea, E.R. ORCID: https://orcid.org/0000-0002-0001-6665, Patel, M.K. and Knight, B. (2000) The development of group solvers in the SMARTFIRE fire field model. In: ACME '2000 The 8th Annual Conference of the Association for Computational Mechanics in Engineering. Extended Abstracts. University of Greenwich, Greenwich, London, UK, pp. 54-57. ISBN 1861661509

Jia, F. ORCID: https://orcid.org/0000-0003-1850-7961, Galea, E.R, ORCID: https://orcid.org/0000-0002-0001-6665 and Patel, M.K. (2000) The numerical simulation of compartment fires using an integrated gas and solid phase combustion model. In: ACME '2000 The 8th Annual Conference of the Association for Computational Mechanics in Engineering. Extended Abstracts. University of Greenwich, Greenwich, London, UK, pp. 50-53. ISBN 1861661509

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

McManus, Kevin, Walshaw, Christopher ORCID: https://orcid.org/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:10.1016/B978-044482850-7/50116-9)

Bailey, Christopher ORCID: https://orcid.org/0000-0002-9438-3879, Cross, Mark and Lu, Hua ORCID: https://orcid.org/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

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:10.1016/B978-044482849-1/50066-X)

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

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, 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.

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.

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.

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.

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.

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.

Slone, Avril, Pericleous, Kyriacos A. ORCID: https://orcid.org/0000-0002-7426-9999, Bailey, Christopher ORCID: https://orcid.org/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.

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.

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

Bailey, Christopher ORCID: https://orcid.org/0000-0002-9438-3879, Cross, Mark and Pericleous, Koulis ORCID: https://orcid.org/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: https://orcid.org/0000-0002-7326-7748, Pericleous, Koulis ORCID: https://orcid.org/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.

Bojarevics, Valdis ORCID: https://orcid.org/0000-0002-7326-7748, Tinios, G., Pericleous, Koulis ORCID: https://orcid.org/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: https://orcid.org/0000-0002-7426-9999, Bailey, Christopher ORCID: https://orcid.org/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.

Cross, Mark, McManus, Kevin, Bailey, Christopher ORCID: https://orcid.org/0000-0002-9438-3879, Pericleous, Koulis ORCID: https://orcid.org/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: https://orcid.org/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.

Monograph

Soper, Alan ORCID: https://orcid.org/0000-0002-0901-9803, Walshaw, Christopher ORCID: https://orcid.org/0000-0003-0253-7779 and Cross, Mark (2000) A combined evolutionary search and multilevel optimisation approach to graph partitioning. Technical Report. CMS Press, London, UK. (doi:Tech. Rep. 00/IM/58)

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

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.

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