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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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|
|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
|Date Deposited:||15 Dec 2015 07:48|
|Last Modified:||15 Dec 2015 07:48|
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