An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics
An entropy-correction free solver for non-homogeneous shallow water equations
In this work we introduce an accurate solver for the Shallow Water Equations with source terms. This scheme does not need any kind of entropy correction to avoid instabilities near critical points. The scheme also solves the non-homogeneous case, in such a way that all equilibria are computed at least with second order accuracy. We perform several tests for relevant flows showing the performance of our scheme.
An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit
The purpose of this work is to study an example of low Mach (Froude) number limit of compressible flows when the initial density (height) is almost equal to a function depending on . This allows us to connect the viscous shallow water equation and the viscous lake equations. More precisely, we study this asymptotic with well prepared data in a periodic domain looking at the influence of the variability of the depth. The result concerns weak solutions. In a second part, we discuss the general low...
An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit
The purpose of this work is to study an example of low Mach (Froude) number limit of compressible flows when the initial density (height) is almost equal to a function depending on x. This allows us to connect the viscous shallow water equation and the viscous lake equations. More precisely, we study this asymptotic with well prepared data in a periodic domain looking at the influence of the variability of the depth. The result concerns weak solutions. In a second part, we discuss...
An existence proof for the stationary compressible Stokes problem
In this paper, we prove the existence of a solution for a quite general stationary compressible Stokes problem including, in particular, gravity effects. The Equation Of State gives the pressure as an increasing superlinear function of the density. This existence result is obtained by passing to the limit on the solution of a viscous approximation of the continuity equation.
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stability features of the continuous problem: the scheme is conservative, the unknowns are kept within their physical bounds and, in the homogeneous case (i.e. when the drift velocity vanishes), the discrete entropy of the system decreases; in addition, when using for the drift velocity a closure law which takes the form of...
Analytic solution of a free and forced convection with suction and injection over a non-isothermal wedge.
Applications of group analysis to the three-dimensional equations of fluids with internal inertia.
Approximation et temps de vie des solutions des équations d'Euler isentropiques en dimension deux d'espace
Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
Asymptotic behavior of the solutions to a one-dimensional motion of compressible viscous fluids
We study the one-dimensional motion of the viscous gas represented by the system , , with the initial and the boundary conditions , . We are concerned with the external forces, namely the function , which do not become small for large time . The main purpose is to show how the solution to this problem behaves around the stationary one, and the proof is based on an elementary -energy method.
Asymptotic Behaviour of the density for one-dimensional navier-stokes equations.
Asymptotic Expansions of the Pressure and the Free Boundary for Flows through Porous Media.
Asymptotic time-behavior for weighted scalar conservation laws
Autour du problème des vortex patches