Finite volume scheme with local high order discretization of the hydrostatic equilibrium for the Euler equations with external forces
A new finite volume scheme for the Euler equations with gravity and friction source terms is
presented. Classical finite volume schemes are not able to capture correctly the dynamics …
presented. Classical finite volume schemes are not able to capture correctly the dynamics …
[PDF][PDF] Contribution to the mathematical and numerical analysis of uncertain systems of conservation laws and of the linear and nonlinear Boltzmann equation
G Poëtte - 2019 - hal.science
1.1 The (quadratic) Boltzmann equation and two of its limits.......... 4 1.1. 1 One
Hydrodynamic limit of Boltzmann equation................. 6 1.1. 2 The Linear Boltzmann equation …
Hydrodynamic limit of Boltzmann equation................. 6 1.1. 2 The Linear Boltzmann equation …
An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD …
F Blachère, R Turpault - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
The aim of this work is to design an explicit finite volume scheme with high-order MOOD
reconstruction for specific systems of conservation laws with stiff source terms which …
reconstruction for specific systems of conservation laws with stiff source terms which …
An asymptotic preserving scheme for the M1 model on conical meshes
X Blanc, P Hoch, C Lasuen - 2021 - hal.science
This work focuses on the design of a 2D numerical scheme for the M1 model on conical
meshes. This model is nonlinear and approximates the firsts moments of the radiative …
meshes. This model is nonlinear and approximates the firsts moments of the radiative …
An asymptotic preserving scheme for the model on polygonal and conical meshes
X Blanc, P Hoch, C Lasuen - Calcolo, 2024 - Springer
This work focuses on the design of a 2 D numerical scheme for the M 1 model on polygonal
and conical meshes. This model is nonlinear and approximates the firsts moments of the …
and conical meshes. This model is nonlinear and approximates the firsts moments of the …
Asymptotic preserving schemes on distorted meshes for Friedrichs systems with stiff relaxation: application to angular models in linear transport
In this paper we propose an asymptotic preserving scheme for a family of Friedrichs systems
on unstructured meshes based on a decomposition between the hyperbolic heat equation …
on unstructured meshes based on a decomposition between the hyperbolic heat equation …
Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes
We prove the uniform AP convergence on unstructured meshes in 2D of a generalization of
the Gosse-Toscani 1D scheme for the hyperbolic heat equation. This scheme is also a nodal …
the Gosse-Toscani 1D scheme for the hyperbolic heat equation. This scheme is also a nodal …
[PDF][PDF] Positive composite finite volume schemes for the diffusion equation on unstructured meshes
X Blanc, P Hoch, C Lasuen - 2022 - hal.science
We present a finite volume scheme for the anisotropic diffusion equation. This scheme is
obtained as a limit of an asymptotic preserving (AP) scheme for the M1 model of radiative …
obtained as a limit of an asymptotic preserving (AP) scheme for the M1 model of radiative …
Construction et analyse numérique de schema asymptotic preserving sur maillages non structurés. Application au transport linéaire et aux systèmes de Friedrichs
E Franck - 2012 - theses.hal.science
L'équation de transport, dans le régime fortement collisionnel admet une limite asymptotique
de diffusion. Les discrétisations angulaires comme la méthode des ordonnées discrètes Sn …
de diffusion. Les discrétisations angulaires comme la méthode des ordonnées discrètes Sn …
Asymptotic preserving schemes for the transport equation on two dimensional unstructured meshes
C Lasuen - 2024 - hal.science
This thesis focuses on the design and the study of numerical schemes for the radiative
transfer equa-tion. This equation is used in the simulation of the energy exchanges in the …
transfer equa-tion. This equation is used in the simulation of the energy exchanges in the …