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ASYMPTOTIC PRESERVING SCHEME FOR A KINETIC MODEL DESCRIBING IN COMPRESSIBLE FLUIDS

Crouseilles, Nicolas and Lemou, Mohammed and Rao, Raghurama SV and Ruhi, Ankit and Sekhar, Muddu (2015) ASYMPTOTIC PRESERVING SCHEME FOR A KINETIC MODEL DESCRIBING IN COMPRESSIBLE FLUIDS. In: KINETIC AND RELATED MODELS, 9 (1). pp. 51-74.

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Official URL: http://dx.doi.org/10.3934/krm.2016.9.51

Abstract

The kinetic theory of fluid turbulence modeling developed by Degond and Lemou in 7] is considered for further study, analysis and simulation. Starting with the Boltzmann like equation representation for turbulence modeling, a relaxation type collision term is introduced for isotropic turbulence. In order to describe some important turbulence phenomenology, the relaxation time incorporates a dependency on the turbulent microscopic energy and this makes difficult the construction of efficient numerical methods. To investigate this problem, we focus here on a multi-dimensional prototype model and first propose an appropriate change of frame that makes the numerical study simpler. Then, a numerical strategy to tackle the stiff relaxation source term is introduced in the spirit of Asymptotic Preserving Schemes. Numerical tests are performed in a one-dimensional framework on the basis of the developed strategy to confirm its efficiency.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the AMER INST MATHEMATICAL SCIENCES, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
Keywords: Asymptotic preserving methods; incompressible flow; change of frame; stiff source terms; numerical simulation; kinetic turbulence model
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Division of Mechanical Sciences > Civil Engineering
Others
Date Deposited: 15 Dec 2015 07:48
Last Modified: 15 Dec 2015 07:48
URI: http://eprints.iisc.ernet.in/id/eprint/52923

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