日本航空宇宙学会関西支部分科会「流体力学における現代的アプローチ」講演会のご案内

桂キャンパスＣクラスター：桂キャンパス構内マップ

Deterministic Conservative solvers for the Boltzmann equation

Prof. Irene Gamba
(Department of Mathematics, University of Texas at Austin, USA)

要旨：

We will discuss the deterministic conservative spectral and FEM methods for both the non-linear and the linearized Boltzmann equation. These methods uses the weak formulation of the collisional form and the Fourier structure of the collision operator to recast the collisional terms as a weighted convolution with precomputed weights, which contain all of the collision mechanism information, and a constrained optimization problem is solved to ensure preservation of the macroscopic moments. For the case of the non-linear Boltzmann equation, we will present several examples including the calculations of mixtures, sudden heating simulations, as well as the asymptotic regime for grazing collisions limits with Coulombic-Rutherford potentials and the order of approximation to the solution of the Landau equation in terms of the Debye screening parameter. For the case of the linearized equation by means of FEM methods, we'll show calculations of the spectral gap depending on the potential and angular cross section. This presentation is based on a series of works in collaboration with Ricardo Alonso and S. Harsha Tharkabhushanam, Jeff Haack, Alessandro Munafo Thierry Magin and Chenglong Zhang.

参考：吉田―桂キャンパス間バス時刻

• 吉田 15：00発（桂15：55着）

• 桂　 17：55発（吉田18：50着）