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| 日時： | 2023年11月9日（木）16:45-17:45 |
| 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1： | A High-Order Flux Reconstruction Method for the Polyatomic Boltzmann-BGK equation |
| Prof. Freddie Witherden (Department of Ocean Engineering, Texas A&M University, USA) | |
| 要旨1： | In this work, we will present a positivity-preserving high-order flux reconstruction method for the polyatomic Boltzmann-BGK equation augmented with a discrete velocity model that ensures the scheme is discretely conservative. Moreover, we will show how the approach can be extended to polyatomic molecules and hence is able to encompass arbitrary constitutive laws. We will show validation data on a series of large-scale complex numerical experiments, ranging from shock-dominated flows computed on unstructured grids to direct numerical simulation of three-dimensional compressible turbulent flows, the latter of which is the first instance of such a flow computed by directly solving the Boltzmann equation. In particular, we will showcase the ability of our proposed scheme to directly resolve shock structures without any ad-hoc numerical shock capturing method and correctly approximate turbulent flow phenomena in a consistent manner with the hydrodynamic equations. |