Synopses & Reviews
This book describes in detail the current, state-of-the-art numerical treatment and simulation of multiphase flows in porous media. The porous media considered range from ordinary to fractured and deformable media, the models treated from single-phase compressible flow to multiphase multicomponent flow with mass interchange, while the computational algorithms encompass everything from classical iterative solvers to modern multigrid and domain decomposition approaches. Addressing many problems originating from the applied geosciences, the book focuses on their common mathematical and computational aspects. It will serve as an excellent research reference for all geoscientists, mathematicians, physicists, and engineers who work in the mathematical modeling and numerical simulation of multiphase flows in porous media.
Table of Contents
From the contents:
Introduction - Mathematical and Numerical Techniques in Energy and Environmental Modeling.- Domain Decomposition for Some Transmission Problems in Flow in Porous Media.- Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media.- Numerical Simulation of Multiphase Flow in Fractured Porous Media.- The Modified Method of Characteristics for Compressible Flow in Porous Media.- A Numerical Algorithm for Single Phase Fluid Flow in Elastic Porous Media.- On the Discretization of Interface Problems with Perfect and Imperfect Contact.- Finite Element Analysis for Pseudo-Hyperbolic Integral-Differential Equations.- A CFL-Free Explicit Scheme with Compression for Linear Hyperbolic Equations.- Maximizing Cache Memory Usage for Multigrid Algorithms for Applications of Fluid Flow in Porous Media.- A Locally Conservative Eulerian-Lagrangian Method for Flow in a Porous Medium of a Mixture of Two Components Having Different Densities.