advection equations

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:10.1002/num.1019)

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:10.1002/num.1019)

axisymmetric contraction

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:10.1016/S0377-0257(02)00123-4)

conservative schemes

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:10.1002/num.1019)

contraction flows

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.

contraction geometry

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:10.1137/S1064827599365288)

finite volume

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:10.1002/num.1019)

finite volume method

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

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:10.1137/S1064827599365288)

finite volume methods

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:10.1016/S0377-0257(02)00123-4)

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.

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:10.1016/S0377-0257(99)00065-8)

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:10.1016/S0377-0257(02)00123-4)

Navier-Stokes

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:10.1137/S1064827599365288)

numerical modelling

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.

Oldroyd B

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:10.1016/S0377-0257(99)00065-8)

Oldroyd B model

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:10.1016/S0377-0257(02)00123-4)

planar contraction

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:10.1016/S0377-0257(02)00123-4)

semi-Lagrangian

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:10.1016/S0377-0257(02)00123-4)

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:10.1002/num.1019)

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:10.1016/S0377-0257(99)00065-8)

semi-Lagrangian approach

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

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:10.1137/S1064827599365288)

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:10.1137/S1064827599365288)

staggered mesh

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:10.1137/S1064827599365288)

viscoelastic

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:10.1016/S0377-0257(99)00065-8)

viscoelastic flow

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:10.1016/S0377-0257(02)00123-4)

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