A new finite volume method to solve the 3D Navier-Stokes equations on unstructured meshes

A new finite volume scheme is used for the approximation of the Navier-Stokes equations on general grids, including non matching grids.. It is based on a discrete approximation of

In both cases (nonlinear centered and upstream weighting schemes), we prove the convergence of a penalized version of the scheme to a weak solution of the problem... As we noted in

We present a new finite volume scheme based on the Polynomial Reconstruction Operator (PRO-scheme) for the linear convection diffusion problem with structured and unstructured

In Sections 4 and 5, we study the mixed finite volume approximation respectively for Stokes and Navier-Stokes equations: we show that this method leads to systems (linear in the case

Abstract We propose a sixth-order staggered finite volume scheme based on polynomial reconstructions to achieve high accurate numerical solutions for the incompressible Navier-

Mod` eles de fluide incompressible M´ ethodes de discr´ etisation M´ ethodes Euler/Lagrange M´ ethodes Vortex Bureau d’´ Etudes.. Calcul d’´ ecoulements par m´

[51] proposed a fourth-order finite volume method on structured grids based on the Pad´ e technique and several very high-order schemes have been developed involving compact stencils

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