Two-phase flow equations with a dynamic capillary pressure

From MaRDI portal
Publication:4917212

DOI10.1017/S0956792512000307zbMath1261.76052MaRDI QIDQ4917212

Ben Schweizer, Jan Koch, Andreas Rätz

Publication date: 29 April 2013

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




Related Items (22)

Existence and properties of solutions of the extended play-type hysteresis modelCapillary hysteresis and gravity segregation in two phase flow through porous mediaNumerical analysis for two-phase flow with non-equilibrium capillary pressure in anisotropic porous mediaError estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarityDegenerate two-phase porous media flow model with dynamic capillarityThe Richards equation with hysteresis and degenerate capillary pressureOn the limit of a two‐phase flow problem in thin porous media domains of Brinkman typeTravelling wave solutions for the Richards equation incorporating non-equilibrium effects in the capillarity pressureThe unsaturated flow in porous media with dynamic capillary pressureThree layer difference method for linear pseudo-parabolic equation with delayA Linear Domain Decomposition Method for Non-equilibrium Two-Phase Flow ModelsHomogenized model of two-phase flow with local nonequilibrium in double porosity mediaHOMOGENIZATION OF THE DEGENERATE TWO-PHASE FLOW EQUATIONSAnalysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effectsNumerical analysis of a finite volume scheme for two incompressible phase flow with dynamic capillary pressureTwo-phase porous media flows with dynamic capillary effects and hysteresis: uniqueness of weak solutionsLinearized domain decomposition methods for two-phase porous media flow models involving dynamic capillarity and hysteresisWetting fronts in unsaturated porous media: the combined case of hysteresis and dynamic capillary pressureOn the well-posedness of a nonlinear fourth-order extension of Richards' equationExistence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous mediaUpscaling of an immiscible non-equilibrium two-phase flow in double porosity mediaLinearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity


Uses Software


Cites Work


This page was built for publication: Two-phase flow equations with a dynamic capillary pressure