Zobrazeno 1 - 10 of 156 pro vyhledávání: '"Christophe Berthon"'
1
A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms
Autor: Christophe Berthon, Solène Bulteau, Françoise Foucher, Meissa M'Baye, Victor Michel-Dansac
Publikováno v: SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, 2022, 44 (4), pp.A2506-A2535. ⟨10.1137/21M1429230⟩
International audience; When adopting high-order finite-volume schemes based on MUSCL reconstruction techniques to approximate the weak solutions of hyperbolic systems with source terms, the preservation of the steady states turns out to be very chal
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdf018022d56ed8190576ea408cea253
https://doi.org/10.1137/21m1429230
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3
A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction
Autor: Victor Michel-Dansac, Françoise Foucher, Christophe Berthon, Stéphane Clain
Publikováno v: Computers and Fluids
Computers and Fluids, 2021, 230, pp.105152. ⟨10.1016/j.compfluid.2021.105152⟩
Computers and Fluids, Elsevier, In press, ⟨10.1016/j.compfluid.2021.105152⟩
International audience; We develop a two-dimensional high-order numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with topography or Manning friction. The high-order accuracy relies on a suit
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50c018a5b5c454916b95f528dca0e0a5
https://hal.science/hal-02536791
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4
A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized Manning friction source term
Autor: Mehdi Badsi, Christophe Berthon, Marianne Bessemoulin-Chatard, Solène Bulteau
Publikováno v: Calcolo. 58
The aim of this paper is to prove the preservation of the diffusive limit by a numerical scheme for the shallow-water equations with a generalized Manning friction source term. This asymptotic behavior coincides with the long time and stiff friction
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a7edca52021c9520baa9f4ebe6aaf2b0
https://doi.org/10.1007/s10092-021-00432-7
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5
A stable fixed point method for the numerical simulation of a kinetic collisional sheath
Autor: Mehdi Badsi, Christophe Berthon, Anaïs Crestetto
Publikováno v: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2021, ⟨10.1016/j.jcp.2020.109990⟩
International audience; This work introduces a numerical fixed point method to approximate the solutions of a Vlasov-Poisson-Boltzmann boundary value problem which arises when modeling a bi-species collisional sheath. Our method relies on the exact i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91d93aeb5bd555f8b9c053bd79691808
https://hal.archives-ouvertes.fr/hal-02777893
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6
Convergence rate of an asymptotic preserving scheme for the diffusive limit of the $P$-system with damping
Autor: Christophe Berthon, Solène Bulteau, Marianne Bessemoulin-Chatard
Publikováno v: Communications in Mathematical Sciences
Communications in Mathematical Sciences, International Press, In press
International audience; This paper aims to establish the convergence rate of approximate solutions of the p-system with damping towards its diffusive limit. We consider an approximation obtained with a full discrete Asymptotic Preserving Finite Volum
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30d693de26dbfa7af47d3cdc8506dc67
https://doi.org/10.4310/cms.2019.v17.n6.a1
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8
A simple fully well-balanced and entropy preserving scheme for the shallow-water equations
Autor: Christophe Berthon, Victor Michel-Dansac
Publikováno v: Applied Mathematics Letters
Applied Mathematics Letters, 2018, 86, pp.284-290. ⟨10.1016/j.aml.2018.07.013⟩
Applied Mathematics Letters, Elsevier, 2018, 86, pp.284-290. ⟨10.1016/j.aml.2018.07.013⟩
International audience; In this communication, we consider a numerical scheme for the shallow-water system. The scheme under consideration has been proven to preserve the positivity of the water height and to be fully well-balanced, i.e. to exactly p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e14ea7fafaf8be7b26abbe18ab2c00a
https://doi.org/10.1016/j.aml.2018.07.013
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9
An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws
Autor: Arnaud Duran, Christophe Berthon, Khaled Saleh
Publikováno v: Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ISBN: 9783030388690
When considering the numerical approximation of weak solutions of systems of conservation laws, the derivation of discrete entropy inequalities is, in general, very difficult to obtain. In the present work, we present a suitable control of the numeri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d07e0ad8ddf73a6cdcacb54d49f81b5f
https://doi.org/10.1007/978-3-030-38870-6_5
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10
Design of Coupled Finite Volume Schemes Minimizing the Grid Orientation Effect in Reservoir Simulation
Autor: Eric Flauraud, Christophe Berthon, Quang Huy Tran, Karine Laurent, Christophe Preux
Publikováno v: Finite Volumes for Complex Applications IX-Methods, Theoretical Aspects, Examples ISBN: 9783030436506
In this paper, we present and compare two nine-point finite volume schemes to reduce the so-called grid orientation effect (GOE) which occurs in the simulation of unstable two phase flow in porous media. The first scheme is a more classical nine-poin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::236a5e2f3b6e9303c766df0f6ab85792
https://doi.org/10.1007/978-3-030-43651-3_54
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