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A numerical method for a kinetic equation and its application to propagating shock waves |
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| Authors: | D Q Xu H Honma and T Abe |
| Affiliation: | a Department of Mechanical Engineering, Chiba University, 1–33 Yayoicho, Chiba 260, Japan b Institute of Space and Astronautical Science, Sagamihara, Japan |
| Abstract: | An efficient numerical method for kinetic equations and its application to analyses of moving shock wave problems are presented. The present study aims to give an efficient scheme for two-dimensional unsteady gas flows. An explicit MacCormack difference method is applied to solve a BGK-model equation. The efficiency and accuracy of the scheme are examined in an application to one-dimensional shock structure problems. Furthermore, the scheme is applied to a two-dimensional flow problem: nonstationary reflection of a shock wave at a wedge. The present scheme is found to be useful and efficient for the analyses of two-dimensional unsteady rarefied gas flows. |
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