An Issue in the Numerical Simulation for Non-Ideal Detonation Propagation in Body-Fitted Coordinate Systems
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摘要: 研究在贴体坐标系中采用Level Set方法计算多维非理想爆轰波阵面传播问题,根据Hamiltom-Jacobi方程的Godunov差分格式,提出了非正交的贴体坐标系中Level Set函数方程的差分格式及其相应的数值方法。最后给出了几个典型数值算例,并且与解析结果进行了比较。
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关键词:
- 非理想爆轰 /
- Level Set方法 /
- 贴体坐标系
Abstract: The Level Set method in body-fitted coordinate for propagation of non-ideal detonation is studied. According to the Hamilton-Jacobi formulation of the Godunov's scheme, we studied finite difference method for the propagation equation of non-ideal detonation in non-orthogonal body-fitted coordinate systems and presented an algorithm. We have shown a few calculations and compared with analytical and other numerical results.-
Key words:
- non-ideal detonation /
- Level Set method /
- body-fitted coordinate
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Aslam T, Bdzil J, Stewart S. Level Set Methods Applied to Modeling Detonation Shock Dynamics [J]. J Comp Phys, 1996, 126: 390-409. Chen S H, Zhang X, Bai J S. LS Method in Body-Fitted Coordinate System for Multi-Dimensional Non-Ideal Detonation Propagation [J]. Chinese Journal of High Pressure Physics, 2000, 14(4): 280-284. (in Chinese) 陈森华, 张旭, 柏劲松. 贴体坐标系中多维非理想爆轰波阵面传播计算的位标函数法 [J]. 高压物理学报, 2000, 14(4): 280-284. Osher S, Sethian J A. Front Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations [J]. J Comp Phys, 1988, 79: 12-49. Osher S, Fedkiw R. Level Set Methods and Dynamin Implicit Surface [M]. New York: Springer-Verlag New York Inc, 2003: 25-69. Peng D, Merriman B, Osher S, et al. A PDE-Based Fast Local Level Set Method [J]. J Comp Phys, 1999, 155: 410-43.
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