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Volume 24 Issue 6
Jun.  1998
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Journal of Beijing University of Aeronautics and Astronautics  > 1998  >  24(6): 625-628.
Wu Songping, Lu Ye, Zheng Boet al. Implicit Schemes for Numerical Simulations of Hypersonic Nonequilibrium Flows[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998, 24(6): 625-628. (in Chinese)
Citation: Wu Songping, Lu Ye, Zheng Boet al. Implicit Schemes for Numerical Simulations of Hypersonic Nonequilibrium Flows[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998, 24(6): 625-628. (in Chinese)
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Implicit Schemes for Numerical Simulations of Hypersonic Nonequilibrium Flows

  • Beijing University of Aeronautics and Astronautics,Dept. of Flight Vehicle Design and Applied Mechanics

  • Received Date: 02 Jul 1998
  • Publish Date: 30 Jun 1998
    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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  • 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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