Professor Michael G Edwards

Professor Michael G Edwards

Michael G Edwards

 

Professor, College of Engineering

Overview

Specialist Subjects: Computational Methods for Subsurface Reservoir Simulation, Computational Fluid Dynamics

  • PhD Computational and Applied Mathematics, University of Reading, 1987
  • BSc Applied Mathematics, 1st Class honours, University of London, 1978

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Research

  • Computational Methods for Subsurface Reservoir Simulation
  • Computational Fluid Dynamics

Selected publications

  • Mayur Pal, Michael G. Edwards, The effects of control-volume distributed multi-point flux approximation (CVD-MPFA) on upscaling-A study using the CVD-MPFA schemes, International Journal for Numerical Methods in Fluids, 2012, 68, 1, [ISSN:02712091], [DOI: 10.1002/fld.2492]
  • Michael Edwards, Non-linear flux-splitting schemes with imposed discrete maximum principle for elliptic equations with highly anisotropic coefficients, International Journal for Numerical Methods in Fluids, 2011, [DOI: 10.1002/fld.2258]
  • Michael Edwards, Multi-dimensional wave-oriented upwind schemes with reduced cross-wind diffusion for flow in porous media, International Journal for Numerical Methods in Fluids, 2011, [DOI: 10.1002/fld.2329]
  • Michael Edwards, Anisotropy favoring triangulation CVD(MPFA) finite-volume approximations, International Journal for Numerical Methods in Fluids, 2011, [DOI: 10.1002/fld.2412]
  • Michael G. Edwards, Hongwen Zheng, Quasi M-Matrix Multifamily Continuous Darcy-Flux Approximations with Full Pressure Support on Structured and Unstructured Grids in Three Dimensions, SIAM Journal on Scientific Computing, 2011, 33, 2, pp.455, [ISSN:1095-7197], [DOI: 10.1137/080745390]
  • Helmer A. Friis, Michael G. Edwards, A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids, Journal of Computational Physics, 2011, 230, 1, pp.205, [ISSN:00219991], [DOI: 10.1016/j.jcp.2010.09.012]
  • Michael G. Edwards, Hongwen Zheng, Sadok Lamine, Mayur Pal, Continuous elliptic and multi-dimensional hyperbolic Darcy-flux finite-volume methods, Computers & Fluids, 2011, 46, 1, pp.12, [ISSN:00457930], [DOI: 10.1016/j.compfluid.2010.12.029]
  • Michael Edwards, Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media, International Journal for Numerical Methods in Fluids, 2010, [DOI: 10.1002/fld.2178]
  • Michael Edwards, q-Families of CVD(MPFA) Schemes on General Elements: Numerical Convergence and the Maximum Principle, Archives of Computational Methods in Engineering, 2010, [DOI: 10.1007/s11831-010-9043-4]
  • Michael Edwards, Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids, Journal of Computational and Applied Mathematics, 2010, [DOI: 10.1016/j.cam.2009.08.069]
  • Michael Edwards, Quasi-positive families of continuous Darcy-flux finite volume schemes on structured and unstructured grids, Journal of Computational and Applied Mathematics, 2010, [DOI: 10.1016/j.cam.2009.08.078]
  • Sadok Lamine, Michael G. Edwards, Higher Order Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids, SIAM Journal on Scientific Computing, 2010, 32, 3, [ISSN:1095-7197], [DOI: 10.1137/080727750]
  • Michael G. Edwards, Hongwen Zheng, Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids, Journal of Computational Physics, 2010, 229, 3, [ISSN:00219991], [DOI: 10.1016/j.jcp.2009.09.037]
  • , Michael G. Edwards, Johannes Mykkeltveit, Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell-Centered Triangular Grids, SIAM Journal on Scientific Computing, 2009, 31, 2, [ISSN:1095-7197], [DOI: 10.1137/070692182]
  • Michael Edwards, Higher-resolution convection schemes for flow in porous media on highly distorted unstructured grids, International Journal for Numerical Methods in Engineering, 2008, [DOI: 10.1002/nme.2335]
  • Michael Edwards, A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support, Journal of Computational Physics, 2008, [DOI: 10.1016/j.jcp.2008.05.028]
  • Michael G. Edwards, Mayur Pal, Positive-definiteq-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method, International Journal for Numerical Methods in Fluids, 2008, 57, 4, [ISSN:02712091], [DOI: 10.1002/fld.1586]
  • Michael G. Edwards, Higher-Resolution Hyperbolic - Coupled - Elliptic Flux-Continuous CVD Schemes on Structured and Unstructured Grids in 3-D, 2006, pp.1079-1095, [ISBN:1097-0363], [DOI: 10.1002/fld.1289]
  • Michael G. Edwards, The Dominant Wave-Capturing Flux: A Finite-Volume Scheme without Decomposition for Systems of Hyperbolic Conservation Laws, 2006, pp.275-294, [ISBN:0021-9991], [DOI: 10.1016/j.jcp.2006.02.005]
  • Mayur Pal, Michael G. Edwards, Anthony R. Lamb, Convergence study of a family of flux-continuous finite-volume schemes for the general tensor pressure equation, 2006, pp.1177-1203, [ISBN:1097-0363], [DOI: 10.1002/fld.1211]
  • Michael G. Edwards, Unstructured, Control-Volume Distributed, Full-Tensor Finite Volume Schemes With Flow Based Grids, 2002, pp.433 - 452, [ISBN:1420-0597], [DOI: 10.1023/A:1021243231313]

Teaching

  • EGIM02 - Numerical Methods for Partial Differential Equations (13/14)
  • EG-201 - Fluid Mechanics II (13/14)
  • EGIM27 - Reservoir Modelling and Simulation (13/14)

Research theses supervised

PhD

  • 2012 - Darcy Flux approximation and fracture modelling (2nd Supervisor: Dr. Igor Sazonov)
  • 2012 - Unstructured grid generation and consistent flow equation approximation for reservoir simulation (2nd Supervisor: Dr. Igor Sazonov)
  • 2012 - Higher resolution and multidimensional methods for flow and transport in fractured porous media. (2nd Supervisor: Dr. Chenfeng Li)
  • 2011 - Multiscale methods for subsurface Darcy Flow (2nd Supervisor: Dr. Igor Sazonov)
  • 2006 - LES Modelling of jets (2nd Supervisor: Professor Perumal Nithiarasu)
  • 2006 - Quasi-Positive Families of Flux Continuous Finite Volumes Schemes in Two and Three Dimensions (2nd Supervisor: Professor Perumal Nithiarasu)
  • 2005 - Multi-dimensional Higher Resolution Schemes for Flow in Porous Media (2nd Supervisor: Professor Kenneth Morgan)
  • 2004 - Families of Control-Volume Distributed CVD (MPFA) Finite Volume Schemes for the Porous Media Pressure Equation on Structured and Unstructured Grids (2nd Supervisor: Professor Perumal Nithiarasu)

MPhil

  • 2005 - Applications of Artificial Intelligence in Constitutive of Soils (2nd Supervisor: Professor Gyanendra Pande)

MRes

  • 2005 - Soil -Pipeline Interaction Due to Thermal Buckling (2nd Supervisor: Professor Gyanendra Pande)

MSc

  • 2008 - An Impes Method for two-phase flow reservoir simulation
  • 2008 - Boundary aligned grids for flow in porous media

Additional information

Work history

  • Professor Swansea University, UK, 2001-present
  • Senior Research Scientist, Stanford University CA, USA, 2001
  • Research Associate, University of Texas Austin, USA, 1996
  • Senior Research Engineer, BP Research, UK, 1993
  • Post-doctoral Fellow, University of Texas Austin, USA, 1989
  • PhD, University of Reading, UK, 1987
  • Project Supervisor, Aircraft Research Assoc, UK, 1983

 

Academic prizes

  • For outstanding technical service SPE Journal, Editorial Board (2003-2004) and (2005-2006) 

Publications

  • Edwards M G, Zheng H., “Quasi M-Matrix Multi-Family Continuous Darcy-Flux Approximations with Full Pressure Support on Structured and Unstructured Grids in 3-D” SIAM J. Sci. Comput 33 (2) pp. 455-487 2011
  • Friis H.A. and Edwards M G “A family of MPFA Finite Volume Schemes with Full Pressure Support for the General Tensor Pressure Equation on Cell-centred Triangular Grids” J. Comput. Phys vol 230, 1, (2011), 205-231
  • Edwards M G, Zheng H., Lamine S. and Pal M. “Continuous Elliptic and Multi-dimensional Hyperbolic Darcy-Flux Finite-volume Methods” Computers and Fluids vol 46 (1), 12-22 2011
  • Edwards M G “Multi-dimensional Wave-Oriented Upwind Schemes With Reduced Cross-Wind Diffusion for Flow in Porous Media” Int. J. Numer Meth, Fluids. Vol 67, Issue 1: 33–57, Sept 2011, doi:10.1002/fld.2329
  • Edwards M G and Zheng H “Double-families of Quasi-Positive Darcy-Flux Approximations with Highly Anisotropic Tensors on Structured and Unstructured Grids” J. Comput. Phys 229 (2010) 594-625 doi:10.1016/j.jcp.2009.09.037
  • Edwards M G and Zheng H “Quasi-Positive families of Continuous Darcy-Flux Finite Volume Schemes on Structured and Unstructured Grids” Journal of Computational and Applied Mathematics 234, 7 (2010) 2152-2161 doi:10.1016/j.cam.2009.08.078
  • Lamine S. and Edwards M G “Higher Order Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids” SIAM J. Sci. Comput. Volume 32, Issue 3, pp. 1119-1139 (2010) http://dx.doi.org/10.1137/080727750
  • Lamine S. and Edwards M G “Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids” Journal of Computational and Applied Mathematics Vol 234, Issue 7, 1 August 2010, 2106-2117 doi:10.1016/j.cam.2009.08.069
  • Edwards M G “Global and Local Central Non-Upwind Finite Volume Schemes for Hyperbolic Conservation Laws in Porous Media” doi:10.1002/fld.2178:Int. J. Numer Meth, Fluids Vol 64, Issue 7, 10 November 2010, Pages: 793–811
  • Friis H.A., Edwards M G and Mykkeltveit J. “Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell Centered Triangular Grids” SIAM J. Sci. Comput. Vol 31, Issue 2, pp. 1192-1220 (2008) Doi 10.1137/070692182
  • Edwards M G and Zheng H “A Quasi-Positive family of Continuous Darcy-Flux Finite Volume Schemes with Full Pressure Support”J. Comput. Phys 227 (2008) 9333-9364 doi:10.1016/j.jcp.2008.05.028
  • Edwards M G and Pal M “Positive-definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method” Int. J. Numer Meth, Fluids 57: 355-387, 2008
  • Lamine S. and Edwards M G “Higher Resolution Convection Schemes for Flow in Porous Media On Highly Distorted Unstructured Grids” Int. J. Numer Meth, Eng. Vol 76, 1139-1158, 2008

Funding awards

  • EPSRC:  Higher Resolution Wave Oriented Upwind Schemes