Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
From MaRDI portal
Publication:3964244
DOI10.1137/0719001zbMath0498.76084OpenAlexW2019557014MaRDI QIDQ3964244
Richard E. Ewing, Thomas F. Russell
Publication date: 1982
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0719001
error estimatesstability conditionsparabolic equationelliptic equationpressure fieldoil reservoirconcentration fieldbackward difference-Galerkin-methodmiscible displacement of one incompressible fluid by another
Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)
Related Items
Characteristic Petrov-Galerkin subdomain methods for two-phase immiscible flow ⋮ High order discontinuous Galerkin method for simulating miscible flooding in porous media ⋮ Distributed implicit stepping with unstructured finite volumes for 2D-transport ⋮ Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media ⋮ Numerical simulation of dual-species biofilms in porous media ⋮ Mixed methods with dynamic finite-element spaces for miscible displacement in porous media ⋮ Modified method of characteristics combined with finite volume element methods for incompressible miscible displacement problems in porous media ⋮ New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media ⋮ A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem ⋮ An upwind-mixed method on changing meshes for two-phase miscible flow in porous media ⋮ Numerical solutions of the incompressible miscible displacement equations in heterogeneous media ⋮ Unnamed Item ⋮ A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media ⋮ Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation ⋮ Mathematical modeling of bioremediation of trichloroethylene in aquifers ⋮ Numerical simulation of multi-species biofilms in porous media for different kinetics ⋮ The corrected operator splitting approach applied to a nonlinear advection-diffusion problem ⋮ New analysis of Galerkin FEMs for miscible displacement in porous media ⋮ A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media ⋮ On efficient time-stepping methods for nonlinear partial differential equations ⋮ Convergence of a high order method in time and space for the miscible displacement equations ⋮ Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media ⋮ Efficient multistep procedures for nonlinear parabolic problems with nonlinear Neumann boundary conditions ⋮ Finite element methods for nonlinear flows in porous media ⋮ Self-adaptive finite element simulation of miscible displacement in porous media ⋮ Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics ⋮ Efficient adaptive procedures for fluid-flow applications