A mass conservative numerical solution for two‐phase flow in ...

Exact and Numerical Solutions of the Riemann Problem for a ...

In this work we study the solution of the Riemann problem for the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible ...

Research - COMP-M

two-phase flows. The proof is based on a compactness argument. To our knowledge, this is the first theoretical convergence result of a variational-based method ...

Validation of hyperbolic model for two-phase flow in conservative form

The model correctly describes the formation of shocks and rarefactions for the solution of discontinuities in two-phase fluid flow problems, thus verifying the ...

Numerical Simulation of One-Dimensional Two-Phas…

In this paper a numerical algorithm to simulate one-dimensional two-phase flow is presented. Cell-centered finite volume method and a generalized two-level ...

Higher order, locally conservative temporal integration methods for ...

and, more recently, two-phase flow [9]. Since many subsurface systems are ... A general mass-conservative numerical solution for the unsaturated flow ...

Numerical Solution of Flow Equations - OUCI

Aavatsmark I (2002) An introduction to multipoint flux approximations for quadrilateral grids. · Abriola L, Rathfelder K (1993) Mass balance errors in modeling ...

Linearly Decoupled Energy-Stable Numerical Methods for ...

In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multicomponent two-phase compressible flow with a ...

Mass balance errors in modeling two-phase immiscible flows

The ability of a numerical model to conserve mass is a necessary, but not sufficient, condition for solution accuracy. A model which exhibits poor mass balance.

Mass Conservative Approximation of Single and Two Phase Flow in ...

Two finite volume methods with the ability in dealing with unstructured grids, the EbFVM-Element-based Finite Volume Method and the MPFA-Multi-Point Flux ...

A Second-Order Path-Conservative Method for the Compressible ...

There are two main emphases in the study of numerical methods for multi-phase flows. One is the hyperbolic character of the equations because hyperbolicity is ...

Numerical simulation of two-phase flows with the conservative level ...

Do achieve this, we must cover key aspects of fluid dynamics, numerical methods for PDEs, including the finite element method. Prior to discussing aspects of ...

Energy Stable and Mass Conservative Numerical Method for Gas ...

H. Abels, H. Garcke, and G. Grün, Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different ...

Numerical Methods for Two-phase Flow in Rigid and Deformable ...

The thesis focuses on developing numerical schemes for two-phase flow in rigid and deformable porous media problems. We present a stable and efficient ...

An accurate conservative level set/ghost fluid method for simulating ...

One of the central issues with two-phase flow simulations lies in the numerical discretization of the pressure gradient ... Zahedi, A conservative level set ...

A convergent mass conservative numerical scheme based on mixed ...

In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non ...

Energy consistent discontinuous Galerkin methods for a quasi ...

We design consistent discontinuous Galerkin finite element schemes for the approximation of a quasi-incompressible two phase flow model of Allen ...

Energy stable and mass conservative numerical method for a ...

A general hydrodynamic phase-field model for two-phase flows with general average velocity and variable densities is rigorously derived ...

A simple, efficient, mass-conservative approach to solving Richards ...

We implement such a solution in our model openRE. We developed a novel method to quantify the boundary fluxes that reduce water balance errors ...

A mass-conserving pressure-based method for two-phase flows with ...

We propose a mass-conserving numerical method for compressible two-phase flows with phase change, with a focus on the ability to model wetting. The ...

A MASS CONSERVATIVE NUMERICAL SOLUTION FOR TWO ...

A MASS CONSERVATIVE NUMERICAL SOLUTION FOR TWO-PHASE FLOW IN POROUS MEDIA WITH APPLICATION TO UNSATURATED FLOW ... Ecoulement en milieu poreux. Une solution ...