Frédéric Coquel

Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics

We consider the Euler equations for a compressible inviscid fluid with a general pressure law

A relaxation method for two-phase flow models with hydrodynamic closure law

p(\rho,\varepsilon)

A priori and a posteriori analysis of finite volume discretizations of Darcy's equations

, where

Closure laws for a two-fluid two-pressure model

\rho

Godunov-type schemes for hyperbolic systems with parameter dependent source. The case of Euler system with friction

represents the density of the fluid and

Convergence of finite difference schemes for conservation laws in several space dimensions: a general theory

\varepsilon

Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes

its specific internal energy. We show that it is possible to introduce a relaxation of the nonlinear pressure law introducing an energy decomposition under the form

A Semi-implicit Relaxation Scheme for Modeling Two-Phase Flow in a Pipeline

\varepsilon= \varepsilon _1 + \varepsilon _2.

Coupling of general Lagrangian systems

The internal energy

Nonlinear projection methods for multi-entropies Navier–Stokes systems

\varepsilon _1