High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics

[摘要] A class of high-order kinetic flux vector splitting schemes are presented for solving ideal quantum gas dynamics based on quantum statistical mechanics. The collisionless quantum Boltzmann equation approach is adopted and both Bose-Einstein and Fermi-Dirac gases are considered. The formulas for the split flux vectors are derived based oil the general three-dimensional distribution function in velocity space and formulas for lower dimensions can be directly deduced. General curvilinear coordinates are introduced to treat practical problems with general geometry. High-order accurate schemes using weighted essentially nori-oscillatory methods are implemented. The resulting high resolution kinetic flux Splitting schemes are tested for 1D shock tube flows and shock wave diffraction by a 2D wedge and by a circular cylinder in ideal quantum gases. Excellent results have been obtained for all examples computed. (C) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-10

[关键词] ideal quantum gas;quantum gas dynamics;KFVS scheme;high resolution scheme;general coordinates