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 model ⋮ Capillary hysteresis and gravity segregation in two phase flow through porous media ⋮ Numerical analysis for two-phase flow with non-equilibrium capillary pressure in anisotropic porous media ⋮ Error estimates for a mixed finite element discretization of a two-phase porous media flow model with dynamic capillarity ⋮ Degenerate two-phase porous media flow model with dynamic capillarity ⋮ The Richards equation with hysteresis and degenerate capillary pressure ⋮ On the limit of a two‐phase flow problem in thin porous media domains of Brinkman type ⋮ Travelling wave solutions for the Richards equation incorporating non-equilibrium effects in the capillarity pressure ⋮ The unsaturated flow in porous media with dynamic capillary pressure ⋮ Three layer difference method for linear pseudo-parabolic equation with delay ⋮ A Linear Domain Decomposition Method for Non-equilibrium Two-Phase Flow Models ⋮ Homogenized model of two-phase flow with local nonequilibrium in double porosity media ⋮ HOMOGENIZATION OF THE DEGENERATE TWO-PHASE FLOW EQUATIONS ⋮ Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects ⋮ Numerical analysis of a finite volume scheme for two incompressible phase flow with dynamic capillary pressure ⋮ Two-phase porous media flows with dynamic capillary effects and hysteresis: uniqueness of weak solutions ⋮ Linearized domain decomposition methods for two-phase porous media flow models involving dynamic capillarity and hysteresis ⋮ Wetting fronts in unsaturated porous media: the combined case of hysteresis and dynamic capillary pressure ⋮ On the well-posedness of a nonlinear fourth-order extension of Richards' equation ⋮ Existence of weak solutions for a nonlocal pseudo-parabolic model for Brinkman two-phase flow in asymptotically flat porous media ⋮ Upscaling of an immiscible non-equilibrium two-phase flow in double porosity media ⋮ Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
Uses Software
Cites Work
- The Richards equation with hysteresis and degenerate capillary pressure
- Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimates
- On nonstationary flow through porous media
- Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case
- Quasilinear elliptic-parabolic differential equations
- Differential models of hysteresis
- Flow of oil and water in a porous medium
- Degenerate two-phase incompressible flow. II: regularity, stability and stabilization.
- Regularization of outflow problems in unsaturated porous media with dry regions
- A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
- Interface conditions for degenerate two-phase flow equations in one space dimension
- On the uniqueness of the solution of the evolution dam problem
- Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation
- A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
- Algorithm 832
- Averaging of flows with capillary hysteresis in stochastic porous media
- Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution
- Hysteresis in filtration through porous media
This page was built for publication: Two-phase flow equations with a dynamic capillary pressure