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Manufactured solutions for one-equation turbulence models in a two-dimensional steady wall-bounded incompressible turbulent flow

Luis Eca, Martin Hoekstra, Alexander Hay and Dominique Pelletier

Technical Report (2006)

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Abstract

This report presents Manufactured Solutions for code and calculation verification of two-dimensional, steady, wall-bounded, incompressible, turbulent flows. The proposed solutions are specifically dedicated to one-equation models that solve a transport equations for a dependent variable that is directly related to the eddyviscosity: the one-equation models of Spalart & Allmaras and Menter. The main flow variables are identical to the ones of an existing manufactured solution. The specified flow field satisfies mass conservation, but it requires additional source terms in the momentum equations. The solutions obtained with the proposed manufactured solutions of the turbulence models dependent variable with a second-order accurate finite-difference method show that in these one-equation models it may not be easy to obtain the theoretical order of accuracy. Furthermore, the construction of the manufactured turbulence quantities as to be done carefully to avoid instabilities in the numerical solutions. The problem is model dependent: for the three manufactured solutions tested, the performance of the Spalart & Allmaras and Menter models is always different.

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
2200 Fluid mechanics > 2200 Fluid mechanics
2200 Fluid mechanics > 2201 Turbulence
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/3150/
Report number: EPM-RT-2006-02
Date Deposited: 19 Jun 2018 14:07
Last Modified: 09 Apr 2024 07:14
Cite in APA 7: Eca, L., Hoekstra, M., Hay, A., & Pelletier, D. (2006). Manufactured solutions for one-equation turbulence models in a two-dimensional steady wall-bounded incompressible turbulent flow. (Technical Report n° EPM-RT-2006-02). https://publications.polymtl.ca/3150/

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