AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS-Reference-Cited by-同舟云学术

AUTOMATIC INSERTION OF A TURBULENCE MODEL IN THE FINITE ELEMENT DISCRETIZATION OF THE NAVIER–STOKES EQUATIONS

Published:2009-07 Issue:07 Volume:19 Page:1139-1183
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BERNARDI CHRISTINE¹,CHACÓN REBOLLO TOMÁS²,HECHT FRÉDÉRIC¹,LEWANDOWSKI ROGER³

Affiliation:

1. Laboratoire Jacques-Louis Lions, C.N.R.S. & Université Pierre et Marie Curie – Paris 6, boîte 187, 4 Place Jussieu, 75252 Paris Cedex 05, France

2. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Tarfia s/n, 41012 Sevilla, Spain

3. IRMAR (U.M.R. 6625), Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex 03, France

Abstract

We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow to automatically determine the zone where the turbulent kinetic energy must be inserted in the Navier–Stokes equations and also to perform mesh adaptivity in order to optimize the discretization of these equations. Numerical results confirm the interest of such an approach.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202509003747

Reference49 articles.

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