A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

DOI10.4208/cicp.OA-2016-0220zbMath1488.74135arXiv1611.08553MaRDI QIDQ5159005

Hong Zhang, Paul Andries Zegeling

Publication date: 26 October 2021

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

Full work available at URL: https://arxiv.org/abs/1611.08553

zbMATH Keywords

traveling wave analysissaturation overshootmodified Buckley-Leverett equationmoving mesh finite difference methodrelaxation non-equilibrium Richards equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in solid mechanics (74S20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Traveling wave solutions (35C07)

Related Items (9)

A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution ⋮ A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws ⋮ An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers ⋮ An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh ⋮ An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation ⋮ An asymptotics-based adaptive finite element method for Kohn-Sham equation ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Moving mesh finite difference solution of non-equilibrium radiation diffusion equations ⋮ Simulation of thin film flows with a moving mesh mixed finite element method

Uses Software

• LASPack

Cites Work

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