A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation
Crouseilles, Nicolas ; Degond, Pierre ; Lemou, Mohammed
HAL, hal-00139687 / Harvested from HAL
Text on HAL
Our purpose s toderive a hybrid model for particles systems which combines a kinetic description of the fast particles with a fluid description of the thermal ones. Fats particles will be described through a collisional kinetic equation of Boltzmann-BGK type while thermal particles will be modeled by means of a system of a Euler type equations. A conservative numerical scheme is constructed and enables us to validate the approach on various numerical tests.
Publié le : 2004-07-05
Classification:  BGK equation,  Euler equations,  entropy minimization principle,  kinetic-hydrodynamics coupling,  numerical scheme,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00139687,
     author = {Crouseilles, Nicolas and Degond, Pierre and Lemou, Mohammed},
     title = {A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00139687}
}

Crouseilles, Nicolas; Degond, Pierre; Lemou, Mohammed. A hybrid kinetic-fluid model for solving the gas dynamics Boltzmann-BGK equation. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00139687/