Mixed finite element and finite volume discretization for heavy brine simulations in groundwater

DOI10.1016/S0377-0427(02)00433-8zbMath1058.76034WikidataQ62925346 ScholiaQ62925346MaRDI QIDQ1860406

Annamaria Mazzia, Mario Putti

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (13)

Methods for solving multiphase fluid flow problem under thermal influence on the reservoir through horizontal wells ⋮ Multiphase flow problem with a limiting gradient under thermal influence on the reservoir through horizontal wells ⋮ Harnack inequality for parabolic equations with coefficients depending on time ⋮ Bad behavior of Godunov mixed methods for strongly anisotropic advection-dispersion equations ⋮ Solution of three-phase nonisothermal flow equations in three dimension reservoir on heterogeneous computing systems ⋮ Saltwater intrusion modeling: Verification and application to an agricultural coastal arid region in Oman ⋮ Solution three-phase fluid flow problem under thermal influence on the reservoir ⋮ A fully interior penalty discontinuous Galerkin method for variable density groundwater flow problems ⋮ High order Godunov mixed methods on tetrahedral meshes for density driven flow simulations in porous media ⋮ Accuracy and efficiency of time integration methods for 1D diffusive wave equation ⋮ Finite element methods for variable density flow and solute transport ⋮ Solution of three-phase flow problems in three-dimension reservoir with nonlinear filtration law ⋮ Three-dimensional mixed finite element-finite volume approach for the solution of density-dependent flow in porous media

Cites Work

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• Triangle based adaptive stencils for the solution of hyperbolic conservation laws
• A time-splitting technique for the advection-dispersion equation in groundwater
• Superconvergence in the Pressure in the Simulation of Miscible Displacement
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• The approximation of the pressure by a mixed method in the simulation of miscible displacement
• A Maximum Principle Satisfying Modification of Triangle Based Adapative Stencils for the Solution of Scalar Hyperbolic Conservation Laws
• Convection in Porous Media

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