摘要: |
利用有限体积法对非结构网格下的瞬态Euler方程进行离散,自主开发了基于密度基算法的流场计算程序,并在非结构网格下使用满足TVD(Total Variation Diminishing)性质的二阶格式得到界面上的变量值。采用Roe-FDS和AUSM+(Advection Upstream Splitting Method+)迎风格式进行通量计算,并通过二维Sod管、前台阶激波反射算例验证了算法的可靠性。将算法推广至三维,并对冷态和热态空气自由喷流进行了计算,得到轴线马赫数分布曲线,对比得到不同格式的计算结果。结果表明,结合二阶格式的AUSM+算法在推广至三维非结构网格后耗散仍大于商业软件结果,但二阶Roe算法的结果耗散小于商业软件计算。 |
关键词: 燃气流场 TVD AUSM+ Roe 非结构网格 |
DOI: |
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基金项目: |
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Implementation and Application of Computing Program for Gas Flows |
LI Hangbo,CHEN Jinsong,WANG Shuai |
(Beijing Institute of Space Launch Technology, Beijing 100076, China) |
Abstract: |
The finite volume method is used to discretize the transient Euler equation on unstructured grids. A flow field calculation program based on the density-based algorithm is developed, and the surface variables are obtained by using a second-order scheme satisfying the TVD property on unstructured grids. Roe-FDS and AUSM+ upwind schemes are used to calculate the flux on the face, and the reliability of the algorithm is verified by classical examples. Then the program is extended to three-dimensional calculation. The flow of free jet is calculated, and the distribution of Mach number on the axis line is obtained. The calculation results of different algorithms are completed. It shows that the dissipation of the AUSM+ scheme combined with the second-order scheme is still greater than that of the calculation of Fluent, but the dissipation of the second-order Roe scheme is less than that of the calculation of Fluent. |
Key words: Gas flow field TVD AUSM+ Roe Unstructured grid |