Zobrazeno 1 - 10
of 410
pro vyhledávání: '"A. Latche"'
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
A quasi-second order scheme is developed to obtain approximate solutions of the shallow water equationswith bathymetry. The scheme is based on a staggered finite volume scheme for the space discretization:the scalar unknowns are located in the discre
Externí odkaz:
http://arxiv.org/abs/2111.09726
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
We present a (partial) historical summary of the mathematical analysis of finite differences and finite volumes methods, paying a special attention to the Lax-Richtmyer and Lax-Wendroff theorems. We then state a Lax-Wendroff consistency result for co
Externí odkaz:
http://arxiv.org/abs/2106.06380
We prove in this paper the weak consistency of a general finite volume convection operator acting on discrete functions which are possibly not piecewise-constant over the cells of the mesh and over the time steps. It yields an extension of the Lax-We
Externí odkaz:
http://arxiv.org/abs/2103.09516
We build in this paper a numerical solution procedure to compute the flow induced by a spherical flame expanding from a point source at a constant expansion velocity, with an instantaneous chemical reaction. The solution is supposed to be self-simila
Externí odkaz:
http://arxiv.org/abs/2010.08204
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
Publikováno v:
18th Conference on Scientific Computing, Mar 2009, Podbansk{\'e}, Slovakia
In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of the schemes is obtained by adding to the mass balance stabilization te
Externí odkaz:
http://arxiv.org/abs/2003.05786