Finite volume method for coupled subsurface flow problems. I: Darcy problem

DOI10.1016/j.jcp.2019.06.009zbMath1452.65307OpenAlexW2951284300WikidataQ127733367 ScholiaQ127733367MaRDI QIDQ2222344

Kirill M. Terekhov, Yuri V. Vassilevski

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.06.009

zbMATH Keywords

finite volume methodanisotropic diffusionDarcy problemsaddle-point system

Mathematics Subject Classification ID

Diffusion (76R50) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (8)

General finite-volume framework for saddle-point problems of various physics ⋮ Presure boundary conditions in the collocated finite-volume method for the steady Navier-Stokes equations ⋮ Finite volume method for coupled subsurface flow problems. II: Poroelasticity ⋮ Multicontinuum homogenization for Richards' equation: the derivation and numerical experiments ⋮ Pressure-correction projection method for modelling the incompressible fluid flow in porous media ⋮ Multi-physics flux coupling for hydraulic fracturing modelling within INMOST platform ⋮ Collocated finite-volume method for the incompressible Navier-Stokes problem ⋮ Fully-Implicit Collocated Finite-Volume Method for the Unsteady Incompressible Navier–Stokes Problem

Uses Software

• HE-E1GODF

Cites Work

• q-families of CVD(MPFA) schemes on general elements: numerical convergence and the maximum principle
• Mesh locking effects in the finite volume solution of 2D anisotropic diffusion equations
• On maximum principles for monotone matrices
• Differencing of the diffusion equation in Lagrangian hydrodynamic codes
• Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations
• Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
• Conservation properties of unstructured staggered mesh schemes
• A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
• Numerical study of the turbulent flow past an airfoil with trailing edge separation
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Numerical solution of saddle point problems
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• Difference analogues of orthogonal decompositions, basic differential operators and some boundary problems of mathematical physics. I
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