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

casting process, direct chill casting process

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

computational fluid dynamics, CFD, flip-chip packaging, Oldroyd-B

Edussuriya, S.S., Williams, A.J. and Bailey, C. ORCID: 0000-0002-9438-3879 (2002) A CFD study of the underfill encapsulation process in flip-chip packaging using the Oldroyd-B model. In: Proceedings of the 6th European Conference of Rheology, (eurheo 2002). LSP, Institute of Polymer Materials, Erlangen-Nuremberg, Germany, pp. 285-286.

computational fluid dynamics, modeling iron, steelmaking processes, ferrous operations,

Cross, M., Croft, T. N., McBride, D., Slone, A. K., Williams, A. J., Bailey, C. ORCID: 0000-0002-9438-3879 and Pericleous, K. ORCID: 0000-0002-7426-9999 (2006) Computational fluid dynamics: advancements in technology for modeling iron and steelmaking processes. AIST Transactions - Iron and Steel Technology, 3 (7). pp. 155-163. ISSN 1547-0423

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

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:https://doi.org/10.1007/s11663-003-0042-9)

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 volume methods, semi-Lagrangian, viscoelastic flow, Oldroyd B model, planar contraction, axisymmetric contraction, inertia

Phillips, T.N. and Williams, A.J. (2002) Comparison of creeping and inertial flow of an Oldroyd B fluid through planar and axisymmetric contractions. Journal of Non-Newtonian Fluid Mechanics, 108 (1-3). pp. 25-47. ISSN 0377-0257 (doi:https://doi.org/10.1016/S0377-0257(02)00123-4)

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:https://doi.org/10.1016/S0924-0136(02)00401-6)

finite volume, semi-Lagrangian, advection equations, conservative schemes, area-weighting

Phillips, T.N. and Williams, A.J. (2001) Conservative semi-Lagrangian finite volume schemes. Numerical Methods for Partial Differential Equations, 17 (4). pp. 403-425. ISSN 0749-159X (Print), 1098-2426 (Online) (doi:https://doi.org/10.1002/num.1019)

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

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.

multi-physics, multi-scale simulations, computational modelling

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.

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, contraction flows, finite volume methods

Aboubacar, M., Phillips, T.N., Tamaddon-Jahromi, H.R., Webster, M.K. and Williams, A.J. (2002) Numerical Simulation of Contraction Flows for Boger Fluids using Finite Volume Methods. In: Proceedings of the 6th European Conference of Rheology, (eurheo 2002). LSP, Institute of Polymer Materials, Erlangen-Nuremberg, Germany, pp. 279-280.

parallel clusters, multiphysics simulation

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)

parallel processing, nonlinear problems

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.

semi-Lagrangian approach, Navier-Stokes, finite volume method, contraction geometry, staggered mesh, SIMPLER algorithm

Phillips, T.N. and Williams, A.J. (2000) A semi-Lagrangian finite volume method for Newtonian contraction flows. SIAM Journal on Scientific Computing, 22 (6). pp. 2152-2177. ISSN 1064-8275 (Print), 1095-7197 (Online) (doi:https://doi.org/10.1137/S1064827599365288)

semi-Lagrangian approach, finite volume method, viscoelastic methods

Phillips, T.N. and Williams, A.J. (2000) Semi-Lagrangian finite volume methods for viscoelastic flow problems. In: The Mathematics of Finite Elements and Applications X (MAFELAP 19). Elsevier Science Ltd., Kidlington, Oxford, pp. 335-344. ISBN 0080435688

semi-Lagrangian, viscoelastic, Oldroyd B, flow

Phillips, T.N. and Williams, A.J. (1999) Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method. Journal of Non-Newtonian Fluid Mechanics, 87 (2-3). pp. 215-246. ISSN 0377-0257 (doi:https://doi.org/10.1016/S0377-0257(99)00065-8)

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

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

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: 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)