Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Herbin, Raphaele"'
Publikováno v:
Comptes Rendus. Mécanique, Vol , Iss , Pp 1-13 (2022)
We present a (partial) historical summary of the mathematical analysis of finite difference and finite volume methods, paying special attention to the Lax–Richtmyer and Lax–Wendroff theorems. We then state a Lax–Wendroff consistency result for
Externí odkaz:
https://doaj.org/article/153d774364fc4063b4b60134348f443c
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity than belonging to $H^1_0(\Omega)$. We establish in this case some error bounds for both the sol
Externí odkaz:
http://arxiv.org/abs/2405.16985
We propose in this paper a discretization of the momentum convection operator for fluid flow simulations on quadrangular or hexahedral meshes. The space discretization is performed by the loworder nonconforming Rannacher-Turek finite element: the sca
Externí odkaz:
http://arxiv.org/abs/2301.02087
We address here the discretization of the momentum convection operator for fluid flow simulations on 2D triangular and quadrangular meshes and 3D polyhedral meshes containing hexahedra, tetrahedra, prisms and pyramids. The finite volume scheme that w
Externí odkaz:
http://arxiv.org/abs/2209.06474
The present paper addresses the convergence of a first order in time incremental projection scheme for the time-dependent incompressible Navier-Stokes equations to a weak solution, without any assumption of existence or regularity assumptions on the
Externí odkaz:
http://arxiv.org/abs/2207.09695
The present paper is focused on the proof of the convergence of the discrete implicit Marker-and-Cell (MAC) scheme for time-dependent Navier--Stokes equations with variable density and variable viscosity. The problem is completed with homogeneous Dir
Externí odkaz:
http://arxiv.org/abs/2107.10117
Publikováno v:
Numerical methods for hyperbolic problems 2019, EDANYA, Jun 2019, Malga, Spain
We address in this paper a model for the simulation of turbulent deflagrations in industrial applications. The flow is governed by the Euler equations for a variable composition mixture and the combustion modelling is based on a phenomenological appr
Externí odkaz:
http://arxiv.org/abs/2010.07577
In this work we present a generic framework for non-conforming finite elements on polytopal meshes, characterised by elements that can be generic polygons/polyhedra. We first present the functional framework on the example of a linear elliptic proble
Externí odkaz:
http://arxiv.org/abs/2007.06958
We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of the water height, preservation of constant states, and weak consistency
Externí odkaz:
http://arxiv.org/abs/1906.11001
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