We study a colocated cell‐centered finite volume method for the approximation of the incompressible Navier–Stokes equations posed on a 2D or 3D finite domain.

2010 Society for Industrial and Applied Mathematics. A FINITE VOLUME SCHEME FOR DIFFUSION PROBLEMS ON. GENERAL MESHES APPLYING MONOTONY CONSTRAINTS*. O ...

Oct 22, 2024 · When considering anisotropic problems or twisted mesh cases, more rigorous constraints need to be given in order to keep the numerical solution ...

Apr 25, 2012 · A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints. SIAM Journal on Numerical Analysis, 2010, 47.

A numerical method, based on Uzawa's algorithm, is shown to provide accurate and stable approximate solutions to various problems. Numerical results show the ...

In order to increase the accuracy and the stability of a scheme dedicated to the approximation of diffusion operators on any type of grids, we propose a ...

We consider a non-linear finite volume (FV) scheme for stationary diffusion equation. We prove that the scheme is monotone, i.e. it preserves positivity of ...

Oct 15, 2017 · A nonlinear monotone finite volume scheme on general non-conforming meshes for diffusion equations is introduced, which deals with ...

In this article, we analyze a FV scheme which is monotone (i.e. preserves positivity of a continuum solution) and imposes no constraints on both the problem ...

A nonlinear monotone finite volume scheme on general non-conforming meshes for diffusion equations is introduced, which deals with discontinuous tensor ...