Numerical Treatment of Multiphase Flows in Porous Media: Proceedings of the International Workshop Held a Beijing, China, 2–6 August 1999

Zhangxin Chen, Richard E. Ewing (auth.), Zhangxin Chen, Richard E. Ewing, Zhong-Ci Shi (eds.)3540675663, 9783540675662

The need to predict, understand, and optimize complex physical and c- mical processes occurring in and around the earth, such as groundwater c- tamination, oil reservoir production, discovering new oil reserves, and ocean hydrodynamics, has been increasingly recognized. Despite their seemingly disparate natures, these geoscience problems have many common mathe- tical and computational characteristics. The techniques used to describe and study them are applicable across a broad range of areas. The study of the above problems through physical experiments, mat- matical theory, and computational techniques requires interdisciplinary col- boration between engineers, mathematicians, computational scientists, and other researchers working in industry, government laboratories, and univ- sities. By bringing together such researchers, meaningful progress can be made in predicting, understanding, and optimizing physical and chemical processes. The International Workshop on Fluid Flow and Transport in Porous – dia was successfully held in Beijing, China, August 2{6, 1999. The aim of this workshop was to bring together applied mathematicians, computational scientists, and engineers working actively in the mathematical and nume- cal treatment of ?uid ?ow and transport in porous media. A broad range of researchers presented papers and discussed both problems and current, state-of-the-art techniques.

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Table of contents :
Mathematical and Numerical Techniques in Energy and Environmental Modeling….Pages 1-21
Domain Decomposition for Some Transmission Problems in Flow in Porous Media….Pages 22-34
Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media….Pages 35-49
Numerical Simulation of Multiphase Flow in Fractured Porous Media….Pages 50-68
The Modified Method of Characteristics for Compressible Flow in Porous Media….Pages 69-79
A Numerical Algorithm for Single Phase Fluid Flow in Elastic Porous Media….Pages 80-92
On the Discretization of Interface Problems with Perfect and Imperfect Contact….Pages 93-103
Finite Element Analysis for Pseudo Hyperbolic Integral-Differential Equations….Pages 104-115
A CFL-Free Explicit Scheme with Compression for Linear Hyperbolic Equations….Pages 116-123
Maximizing Cache Memory Usage for Multigrid Algorithms for Applications of Fluid Flow in Porous Media….Pages 124-137
A Locally Conservative Eulerian-Lagrangian Method for Flow in a Porous Medium of a Mixture of Two Components Having Different Densities….Pages 138-155
Validation of Non-darcy Well Models Using Direct Numerical Simulation….Pages 156-169
Mathematical Treatment of Diffusion Processes of Gases and Fluids in Porous Media….Pages 170-178
Implementation of a Locally Conservative Eulerian-Lagrangian Method Applied to Nuclear Contaminant Transport….Pages 179-189
Application of a Class of Nonstationary Iterative Methods to Flow Problems….Pages 190-194
Reservoir Thermal Recover Simulation on Parallel Computers….Pages 195-207
A Class of Lattice Boltzmann Models with the Energy Equation….Pages 208-215
Block Implicit Computation of Flow Field in Solid Rocket Ramjets….Pages 216-221
Stable Conforming and Nonconforming Finite Element Methods for the Non-newtonian Flow….Pages 222-231
Numerical Simulation of Compositional Fluid Flow in Porous Media….Pages 232-243
Parallelization of a Compositional Reservoir Simulator….Pages 244-266
Relationships among Some Conservative Discretization Methods….Pages 267-282
Parallel Methods for Solving Time-Dependent Problems Using the Fourier-Laplace Transformation….Pages 283-291
Cascadic Multigrid Methods for Parabolic Pressure Problems….Pages 292-298
Estimation in the Presence of Outliers: The Capillary Pressure Case….Pages 299-310
A Comparison of ELLAM with ENO/WENO Schemes for Linear Transport Equations….Pages 311-323
An Accurate Approximation to Compressible Flow in Porous Media with Wells….Pages 324-332
Fast Convergent Algorithms for Solving 2D Integral Equations of the First Kind….Pages 333-344
A Two-Grid Finite Difference Method for Nonlinear Parabolic Equations….Pages 345-350
A Compact Operator Method for the Omega Equation….Pages 351-361
Domain Decomposition Algprithm for a New Characteristic Mixed Finite Element Method for Compressible Miscible Displacement….Pages 362-372
A Boundary Element Method for Viscous Flow on Multi-connected Domains….Pages 373-377
A Characteristic Difference Method for 2D Nonlinear Convection-Diffusion Problems….Pages 378-389
Fractional Step Methods for Compressible Multicomponent Flow in Porous Media….Pages 390-403
A Model and Its Solution Method for a Generalized Unsteady Seepage Flow Problem….Pages 404-408
Domain Decomposition Preconditioners for Non-selfconjugate Second Order Elliptic Problems….Pages 409-418
Performance of MOL for Surface Motion Driven by a Laplacian of Curvature….Pages 419-429
A High-Order Upwind Method for Convection-Diffusion Equations with the Newmann Boundary Condition….Pages 430-440