An adaptive grid finite difference method for conservation laws

DOI10.1016/0021-9991(83)90008-6zbMath0517.65066OpenAlexW1969891610MaRDI QIDQ1053423

Gregory R. Shubin, John B. Bell

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90008-6

zbMATH Keywords

moving gridnonlinear hyperbolic conservation lawselliptic grid generationGodunov's schemeBuckley- Leverett equationartificial viscosity methodadaptive grid finite difference methodsflow of two immiscible fluids in a porous mediumtime-accurate solutions

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (14)

A moving-mesh finite element method with local refinement for parabolic partial differential equations ⋮ Algebraic dynamic multilevel (ADM) method for fully implicit simulations of multiphase flow in porous media ⋮ Adaptive grid generation ⋮ An adaptive grid solution procedure for convection-diffusion problems ⋮ Dynamic rezone methods for partial differential equations in one space dimension ⋮ A note on the effect of artificial viscosity on solutions of conservation laws ⋮ Dynamic adaptation for parabolic equations ⋮ Algebraic dynamic multilevel method for compositional flow in heterogeneous porous media ⋮ Numerical Modelling of Surface Water Wave Interaction with a Moving Wall ⋮ An adaptive cut-cell method for environmental fluid mechanics ⋮ A two-dimensional mesh moving technique for time-dependent partial differential equations ⋮ A survey of dynamically-adaptive grids in the numerical solution of partial differential equations ⋮ Adaptive-grid methods with asymmetric time-filtering ⋮ On the stability of mesh equidistribution strategies for time-dependent partial differential equations

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