Professor Michael Edwards' areas of expertise include:
- 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