Modelling variable density flow problems in heterogeneous porous media using the method of lines and advanced spatial discretization methods

DOI10.1016/J.MATCOM.2011.02.010zbMath1308.76179OpenAlexW1992014941MaRDI QIDQ554586

M. Konz, P. Huggenberger, A. Zidane, Marwan Fahs, Anis Younes

Publication date: 4 August 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.02.010

zbMATH Keywords

multi-point flux approximationDASPK solverpreconditioned Krylov iterative methodtime error

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Extension of the Henry semi-analytical solution for saltwater intrusion in stratified domains ⋮ Multiple positive solutions for coupled Schrödinger equations with perturbations ⋮ A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams

Cites Work

• Unnamed Item
• Unnamed Item
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• On modelling the multidimensional coupled fluid flow and heat or mass transport in porous media.
• On the finite volume reformulation of the mixed finite element method for elliptic and parabolic PDE on triangles.
• An introduction to multipoint flux approximations for quadrilateral grids
• Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
• A new mass lumping scheme for the mixed hybrid finite element method
• Solving the advection-dispersion equation with discontinuous Galerkin and multipoint flux approximation methods on unstructured meshes
• Hybrid and multi-point formulations of the lowest-order mixed methods for Darcy's flow on triangles
• Mixed and Hybrid Finite Element Methods
• Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems

This page was built for publication: Modelling variable density flow problems in heterogeneous porous media using the method of lines and advanced spatial discretization methods