Professor Michael Edwards
Chair in Engineering
Telephone: (01792) 513175
Room: Academic Office - A_131
First Floor
Engineering Central
Bay Campus


Computational Methods for Subsurface Reservoir Simulation and
Computational Fluid Dynamics

Areas of Expertise

  • Computational Methods for Partial Differential Equations
  • Reservoir Simulation Methods for Petroleum, Oil and Gas Recovery, Aquifer Remediation, Carbon Sequestration
  • Locally conservative finite-volume-element methods for computing flow fields in heterogeneous media with rough coefficients due to the medium and or the grid.
  • Elliptic, parabolic and hyperbolic partial differential equation approximation including single and multiphase flow techniques.
  • Methods apply to oil and gas production, aquifer remediation, carbon sequestration, porous media problems with medium effects including full-tensor permeability fields, faults and fractures.
  • Darcy-Flux Approximation: Control-volume distributed multipoint flux approximation CVD-MPFA.
  • Convective flux approximation for fluid and gas dynamics: Higher resolution upwind and centred methods, multidimensional upwind methods (Multi-D).
  • Fracture modelling.
  • Discretization dependent structured-unstructured gridding techniques.
  • Multiscale Finite-volume methods (MSFV)
  • Upscaling Methods.
  • Adaptive grid methods


  1. Ahmed, R., Xie, Y., Edwards, M. A Cell-Centred CVD-MPFA Finite Volume Method for Two-Phase Fluid Flow Problems with Capillary Heterogeneity and Discontinuity Transport in Porous Media
  2. Manzoor, S., Edwards, M., Dogru, A., Al-Shaalan, T. Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance Computational Geosciences
  3. Ahmed, R., Edwards, M., Lamine, S., Huisman, B., Pal, M. CVD-MPFA full pressure support, coupled unstructured discrete fracture–matrix Darcy-flux approximations Journal of Computational Physics 349 265 299
  4. Xie, Y., Edwards, M. Higher resolution total velocity Vt and Va finite-volume formulations on cell-centred structured and unstructured grids Computational Geosciences
  5. Parramore, E., Edwards, M., Pal, M., Lamine, S. Multiscale Finite-Volume CVD-MPFA Formulations on Structured and Unstructured Grids Multiscale Modeling & Simulation 14 2 559 594

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  • EG-201 Fluid Mechanics II

    This module aims to create an interest in fluid flow, to show that flow phenomena are amenable to analysis, to show the relevance of fluid mechanics to Civil Engineering and to create confidence and ability in problem-solving in fluid mechanics.

  • EGIM02 Advanced Computational Methods for Engineers

    Introduction to numerical methods including ordinary and partial differential equations at masters level. The course provides an understanding of fundamental methods that form the basis of common solution techniques used in many simulators and commercial packages with wide application in science and engineering.

  • EGIM27 Reservoir Modelling and Simulation

    Subsurface reservoir modelling involves computing subsurface flow fields, and crucially provides the only means for calculated prediction of oil and gas recovery, aquifer remediation and climate change mitigation strategies involving carbon sequestration and energy storage. This module provides an introduction to subsurface reservoir modelling at masters level.


  • Numerical Methods and Simulation of Subsurface Fracture Propagation. (current)

    Student name:
    Other supervisor: Prof Chenfeng Li
  • Solutions to a class of nonlinear Schrödinger equations involving a nonlocal term. (current)

    Student name:
    Other supervisor: Dr Carlo Mercuri
  • Untitled (current)

    Student name:
    Other supervisor: Dr Dunhui Xiao
  • Higher resolution and multidimensional methods for flow and transport in fractured porous media. (awarded 2018)

    Student name:
    Other supervisor: Prof Chenfeng Li

Career History

Start Date End Date Position Held Location
2001 Present Professor Swansea University
1996 2001 Senior Research Scientist Stanford University CA, USA
1993 1996 Research Associate University of Texas Austin, USA
1989 1993 Senior Research Engineer BP Research
1987 1989 Post-doctoral Fellow University of Texas Austin, USA
1983 1987 PhD Computational and Applied Maths University of Reading
1978 1983 Project Supervisor Aircraft Research Association