Implicit Schemes for Numerical Simulations of Hypersonic Nonequilibrium Flows
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摘要: 针对高超音速化学非平衡流提出了两种隐式格式.一种是近似因子分解算法对角化形式在隐式TVD(全变差递减)格式上的推广,另一种可视为隐式TVD格式的LU分解形式.数值试验表明,本文给出的算法保持了TVD格式的高分辨率特性,同时计算量大大减少,是高超音速化学非平衡流数值模拟的有效方法.Abstract: Two forms of implicit TVD schemes are proposed in this paper for the simulation of nonequilibrium flows past hypersonic re-entry vehicle, which are derived from the diagonal form of an approximate-factorization algorithm and lower-upper scheme applied to the implicit part of Harten-Yee's TVD scheme respectively. Numerical tests are taken for the two-dimensional and three-dimensional chemically nonequilibrium flows, and the results demonstrate that the algorithms in the paper are both efficient with high-resolution and less cost in computation.
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Key words:
- hypersonic flow /
- computational fluid mechanics /
- numerical simulation /
- TVD scheme
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1. Bussing T R A, Murman E M. A finite volume method for the calculation of compressible chemically reacting flows. AIAA 85-0331,1985 2. Yee H C, Shinn J L. Semi-implicit and fully implicit shock-capturing methods for non-equilibrium flows. AIAA J,1989, 27:299~307 3. Jameson A, Yoon S. Lower-upper implicit schemes with multiple grids for the Euler equations. AIAA J,1987, 25:929~935 4. Eberhardt S, Imlay S. Diagonal implicit scheme for computing flows with finite rate chemistry. J Thermophysics and Heat Transfer, 1992, 6:208~216 5. Pulliam T H, Chaussee D S. A diagonal form of an implicit approximate-factorization algorithm. J Comput Phys, 1981, 39:347~367 6. 周常虹. 隐式TVD格式的对角化形式:[学位论文]. 北京:北京航空航天大学飞行器设计与应用力学系,1993 7. 陆 烨. 化学非平衡无粘流二维隐式TVD格式AF方法及其对角化形式:[学位论文]. 北京:北京航空航天大学飞行器设计与应用力学系,1997 8. 郑 波. 天地往返运输系统高超音速绕流的数值模拟:[学位论文]. 北京:北京航空航天大学飞行器设计与应用力学系,1998 -
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