平成26年度第10回講演会（日本航空宇宙学会関西支部分科会）
| 日時： | 平成26年12月11日（木） 16:30-17:30 |
| 場所： | 京都大学 桂キャンパスCクラスタ総合研究棟III（C3棟） 3階 b3n03室（航空宇宙工学専攻会議室） |
| 講演： | A Hybrid Numerical Method for Multi-Scale Collisional Kinetic Equations |
| Dr. Thomas Rey (Laboratoire Paul Painleve, Universite Lille 1, France) |
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| 要旨： | In this work in collaboration with F. Filbet, we construct a hierarchy of hybrid numerical methods for multi-scale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff and Nadiga. Following such a criterion, one can consider hybrid scheme where the hydrodynamic part is given either by the compressible Euler or Navier-Stokes equations, or even with more general models, such as the Burnett or super-Burnett systems.We present applications of this method to the Boltmann equation for rarefied gases, in one dimension of space and three dimensions of velocity, for both Euler and Navier-Stokes fluid description. We prove numerically that our hierarchy of hybrid fluid-kinetic solvers can provide different numerical methods able to achieve the accuracy of a pure kinetic one, with efficiency sometimes almost comparable with the one of a fluid model. |