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Analysis and numerical approximation of hyperbolic systems of conservation la...
This thesis is devoted to the study of nonlinear hyperbolic systems of conservation laws with source terms allowed to become stiff. Applications come for the largest... -
Fractional BV spaces and first applications to scalar conservation laws
International audience -
Numerical methods for hyperbolic systems with source term issuing from comple...
This work is devoted to numerical approximation of radiative transfer models. On the one hand, we focus on the discrete ordinates model. In order to couple this... -
On the high-order reconstruction for Meshfree Particle Methods in Numerical F...
In this work, we extend SPH-ALE schemes to high-order -
Existence result for the coupling problem of two scalar conservation laws wit...
International audience -
Numerical simulation of shallow water equations and comparison with experimen...
The one-dimensional Saint-Venant equations have been considered for the numerical simulation of shallow water flows on complex topography within this report. Although... -
Riemann problems with non--local point constraints and capacity drop
19 pages, 6 figures -
Riemann problem for a particle-fluid coupling
We present a model of coupling between a point wise particle and a compressible inviscid fluid following the Euler equations. The interaction between the fluid and the...
