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A Monotone Scheme for the k-epsilon RNG M}odel
Institut de Sûreté et de Radioprotection Nucléaire. (DPAM/SEMIC/LIMSI)
Université de Provence. (LATP CNRS, Marseille)
Institut de Sûreté et de Radioprotection Nucléaire. (DPAM/SEMIC/LIMSI)
2008 (English)In: Finites Volume for Complex Applications V / [ed] Robert Eymard and Jean-Marc Hérard, Hermes Science Publications, 2008Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we design a finite-volume based numerical scheme for the solution of the nonlinear balance equations of RNG variants of the well-known k-ε model.In this class of models, the description of the turbulence relies on two variables, the turbulent kinetic energy k and its dissipation rate ε, which, for physical reasons, must remain positive.When standard upwinding techniques for the convection terms are used, the presented scheme is proved to preserve the positivity of these two unknowns, and, through a topological degree argument, to admit at least a solution.A numerical convergence study shows a first order convergence rate in both time and space.When using a MUSCL discretization for the approximation of the convection terms, the scheme becomes of second order in space.

Place, publisher, year, edition, pages
Hermes Science Publications, 2008.
Keyword [en]
turbulence models, finite volume method, L infinity stability
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-52381OAI: oai:DiVA.org:kth-52381DiVA: diva2:466352
Conference
5th International Symposium on Finite Volumes for Complex Applications. Aussois, France. June 8-13 2008
Note
QC 20120509Available from: 2011-12-15 Created: 2011-12-15 Last updated: 2012-05-09Bibliographically approved

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