Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow

DOI10.1016/0045-7825(84)90050-1zbMath0535.76121OpenAlexW2012497726MaRDI QIDQ791410

Richard P. Kendall, Jim jun. Douglas, Mary Fanett Wheeler, Bruce L. Darlow

Publication date: 1984

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(84)90050-1

zbMATH Keywords

finite elementone-dimensionalFinite differenceBuckley-Leverett equationuniform meshartificial diffusivityimmiscible flow equation without capillarityself-adaptivity of computing gridsolution nearly monotonic

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)

Related Items (7)

Mixed methods with dynamic finite-element spaces for miscible displacement in porous media ⋮ Weighted least-squares approximations to nonlinear hyperbolic equations ⋮ Unnamed Item ⋮ Finite element methods for nonlinear flows in porous media ⋮ An improved implementation of the McCracken and Yanosik nine point finite difference procedure ⋮ Efficient adaptive procedures for fluid-flow applications ⋮ A-posteriori error estimation for finite element modifications of line methods applied to singularly perturbed partial differential equations

Cites Work

• A Numerical Conception of Entropy for Quasi-Linear Equations
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