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高精度非定常激波装配法 被引量:6

A High-order Unsteady Shock-fitting Scheme
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摘要 为正确模拟高超声速绕流中,来流小扰动与弓形激波之间的干扰对流动特征的影响,将弓形激波作为动边界,利用非定常特征关系处理激波处的边界条件.应用五阶精度迎风紧致格式和六阶精度的对称格式与三阶精度的R-K方法相结合,建立高精度非定常激波装配方法.采用该方法数值模拟钝锥高超声速定常流场和二维抛物外形高超声速边界层流动的感受性问题,数值模拟来流小扰动与弓形激波干扰激波后非定常扰动流场,研究扰动波进入边界层产生边界层不稳定波的特征.  Based on a high-order compact upwind scheme,a high-order shock-fitting finite difference scheme is studied for numerical simulation of the generation of boundary layer disturbance waves due to free-stream waves.Both steady and unsteady flow solutions of the receptivity problem are obtained by computing full Navier-Stokes equations.Numerical simulation of receptivity to free-stream disturbances for hypersonic boundary layers is performed.
出处 《计算物理》 CSCD 北大核心 2007年第5期533-536,共4页 Chinese Journal of Computational Physics
基金 自然科学基金(No.10502052)资助项目
关键词 感受性问题 激波装配法 迎风紧致格式 receptivity shock-fitting compact upwind scheme
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参考文献6

  • 1Fu Dexun, Ma Yanwen, Liu Hong. Upwind compact scheme and application[C]. Proceedings of the 5^th International Symposium on Computational Fluid Dynamics, 1993,1:184- 190.
  • 2Reshotko E. Hypersonic stability and transition[M]//Desideri J A, Glowinski R, Periaux J, eds. Hypersonic Flows for Reentry Problems. 1991,1 : 18 - 34.
  • 3Zhong Xiaolin. Leading-edge receptivity to free-stream disturbance waves for hypersonic flow over a parabola[J]. J Fluid Mech, 2001, 441:315 - 367.
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  • 5Ma Y B, Zbong Xiaoling. Receptivity of a supersonic boundary layer over a flat plate. Part 2: Receptivity tofree-stream sound[ J]. J Fluid Mech, 2003,488:79 - 121.
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同被引文献43

  • 1李国良,刘晓文,纪楚群,龚安龙,周伟江.乘波体设计方法及设计参数分析[J].宇航总体技术,2020,0(3):45-54. 被引量:3
  • 2戴佐,查建中.三维实体布局的八叉树语言及优化算法[J].计算机辅助设计与图形学学报,1996,8(1):61-67. 被引量:9
  • 3李盾,纪楚群,马汉东.三维非结构贴体直角网格的N-S方程数值模拟[J].空气动力学学报,2006,24(4):477-481. 被引量:5
  • 4涂国华,袁湘江,陆利蓬.激波捕捉差分方法研究[J].应用数学和力学,2007,28(4):433-440. 被引量:10
  • 5Reshotko E. Hypersonic stability and transition. In: Desideri J A, Glowinski R, Periaux J, eds. Hypersonic Flows for Reentry Problems. Berlin: Springer, 1991.1:18-34
  • 6Zhong X L. Leading-edge receptivity to free-stream disturbance waves for hypersonic flow over a parabola. J Fluid Mech, 2001, 441:315-367
  • 7Ma Y B, Zhong X L. Receptivity of a supersonic boundary layer over a flat plate. Part 1: Wave structures and in- teractions. J Fluid Meeh, 2003, 488:31-78
  • 8Ma Y B, Zhong X L. Receptivity of a supersonic boundary layer over a flat plate. Part 2: Receptivity to free-stream sound. J Fluid Mech, 2003, 488:79-121
  • 9Fu D X, Ma Y W, Liu H. Upwind compact scheme and application. In: Proceedings of the 5th International Symposium on Computational Fluid Dynamics. Nagoya: Japan Society of Computational Fluid Dynamics, 1993. 184-190
  • 10Truesdell C. On the curved shocks in steady plane flow of an ideal fluid. J Aero Sci, 1952, 19:826-828

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