A Direct Solver in Phase Space for Semiclassical Boltzmann Model Equation in General Coordinates

• Main Authors: Nan-Huei Jiang, 江南輝
• Other Authors: Jaw-Yen Yang
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/64618591246437662836

碩士 === 國立臺灣大學 === 應用力學研究所 === 102 === I solved the Semiclassical Boltzmann BGK model equations and Semiclassical Boltzmann Ellipsoidal BGK model equations by flux vector splitting method, and we can adjust Prandtl number is correct by Ellipsoidal BGK model. And then, we can adjust the level of rarefied flow by relaxation time in BGK model. The result of simulation could be validated in different Mach numbers and literature. In addition, we transformed Cartesian coordinate system to generalized coordinate system in order to solve the curved boundary on structure mesh, and compared the difference in Bose–Einstein statistics, Fermi–Dirac statistics, and Maxwell-Boltzmann statistics. The present numerical methods combined total variation diminishing in discrete space and implicit methods in discrete time, and solved the Semiclassical Boltzmann BGK model equations in generalized coordinate system. Weighted Essentially Non-Oscillatory (WENO) are applied to initial value problem.