MATHIAUD, Julien; MIEUSSENS, Luc

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MATHIAUD, Julien
Centre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]

MIEUSSENS, Luc
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]

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Journal of Statistical Physics. 2017, vol. 168, n° 5, p. 1031-1055

Springer Verlag

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We propose an extension of the Fokker-Planck model of the Boltzmann equation to get a correct Prandtl number in the Compressible Navier-Stokes asymptotics for polyatomic gases. This is obtained by replacing the diffusion coefficient (which is the equilibrium temperature) by a non diagonal temperature tensor, like the Ellipsoidal-Statistical model is obtained from the Bathnagar-Gross-Krook model of the Boltzmann equation, and by adding a diffusion term for the internal energy. Our model is proved to satisfy the properties of conservation and a H-theorem. A Chapman-Enskog analysis shows how to compute the transport coefficients of our model. Some numerical tests are performed to illustrate that a correct Prandtl number can be obtained.< Leer menos

Palabras clave en inglés

polyatomic gas

Fokker-Planck model

Prandtl number

Ellipsoidal-Statistical model

H-theorem

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A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases

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Palabras clave en inglés

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