Consistency and local conservation in finite-element simulation of flow in porous media
type: Item
instance of: scholarly article
title: Consistency and local conservation in finite-element simulation of flow in porous media
zbMATH Open document ID: 1460.86008
author: Laurent White
author: Jeremy Brandman
author: Dimitar Trenev
published in: Computational Geosciences
publication date: 2021-05-25T00:00:00Z
Mathematics Subject Classification ID: 86-08
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 7350813
zbMATH Keywords: finite-element method
zbMATH Keywords: flow in porous media
zbMATH Keywords: mass conservation
describes a project that uses: HLLE
MaRDI profile type: Publication
full work available at URL: s10596-021-10044-3
OpenAlex ID: W3135397985
cites work: Mixed and Hybrid Finite Element Methods
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: On the Application of the Continuous Galerkin Finite Element Method for Conservation Problems
cites work: Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations
cites work: Discontinuous upwinding and mixed finite elements for two-phase flows in reservoir simulation
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: The piecewise parabolic method (PPM) for gas-dynamical simulations
cites work: LBB stability of a mixed Galerkin finite element pair for fluid flow simulations
cites work: Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair
cites work: Compatible algorithms for coupled flow and transport
cites work: Locally conservative continuous Galerkin FEM for pressure equation in two-phase flow model in subsurfaces
cites work: A triangle based mixed finite element -- finite volume technique for modeling two phase flow through porous media
cites work: Q3325362
cites work: A method for reducing dispersion in convective difference schemes
cites work: Q5558541
cites work: Q4255433
cites work: How to save a bad element with weak boundary conditions
cites work: On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
cites work: A high-order, fully coupled, upwind, compact discontinuous Galerkin method for modeling of viscous fingering in compressible porous media
cites work: The continuous Galerkin method is locally conservative
cites work: A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods
cites work: Difference schemes for hyperbolic equations with high order of accuracy
cites work: A comparison of the GWCE and mixed \(P_1^{NC} - P_1\) formulations in finite-element linearized shallow-water models
cites work: A high order characteristic discontinuous Galerkin scheme for advection on unstructured meshes
cites work: Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
cites work: Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: Finite Volume Methods for Hyperbolic Problems
cites work: A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media
cites work: A stabilized mixed finite element method for Darcy flow
cites work: A monotone nonlinear finite volume method for diffusion equations and multiphase flows
cites work: Discrete Conservation Properties of Unstructured Mesh Schemes
cites work: Q4136469
cites work: Solving diffusion equations with rough coefficients in rough grids
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
cites work: Discontinuous Galerkin methods for coupled flow and reactive transport problems
cites work: ADER schemes for three-dimensional non-linear hyperbolic systems
cites work: Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation
cites work: A high-order finite volume remapping scheme for nonuniform grids: the piecewise quartic method (PQM)
cites work: Flow Simulation in Heterogeneous Porous Media With the Moving Least-Squares Method
DOI: 10.1007/S10596-021-10044-3
description: scientific article; zbMATH DE number 7350813