Application of the Petrov-Galerkin method to chemical-flooding reservoir simulation in one dimension

DOI10.1016/0045-7825(83)90006-3zbMath0517.76114OpenAlexW1983294032MaRDI QIDQ1053570

M. F. Cohen

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90006-3

zbMATH Keywords

one-dimensionalpolymersPetrov-Galerkin methodstability propertiessurfactantsconvection dominatedchemical-flooding simulatorrecovery of oilsaltsshock-like profilesupstream techniques

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Multiphase and multicomponent flows (76T99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Reaction effects in flows (76V05) Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)

Cites Work

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• Skew upstream differencing schemes for problems involving fluid flow
• Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
• Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
• Finite element methods for second order differential equations with significant first derivatives
• The artificial compression method for computation of shocks and contact discontinuities. I. Single conservation laws
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• Galerkin Methods for First Order Hyperbolics: An Example

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