中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20202-020202.doi: 10.1088/1674-1056/23/2/020202

• GENERAL • 上一篇    下一篇

Simulation of shock-induced instability using an essentially conservative adaptive CE/SE method

付峥a, 刘凯欣a b, 罗宁a b c   

  1. a LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China;
    b Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
    c State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2013-04-29 修回日期:2013-05-27 出版日期:2013-12-12 发布日期:2013-12-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10732010, 10972010, and 11028206) and the Opening Project of State Key Laboratory of Explosion Science and Technology, China (Grant No. KFJJ13-5M).

Simulation of shock-induced instability using an essentially conservative adaptive CE/SE method

Fu Zheng (付峥)a, Liu Kai-Xin (刘凯欣)a b, Luo Ning (罗宁)a b c   

  1. a LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China;
    b Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
    c State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
  • Received:2013-04-29 Revised:2013-05-27 Online:2013-12-12 Published:2013-12-12
  • Contact: Liu Kai-Xin, Luo Ning E-mail:kliu@pku.edu.cn;ningl@pku.edu.cn
  • About author:02.60.Cb; 47.11.-j; 47.40.Nm; 47.20.Cq
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10732010, 10972010, and 11028206) and the Opening Project of State Key Laboratory of Explosion Science and Technology, China (Grant No. KFJJ13-5M).

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摘要： An essentially conservative adaptive space time conservation element and solution element (CE/SE) method is proposed for the effective simulation of shock-induced instability with low computational cost. Its implementation is based on redefined conservation elements (CEs) and solution elements (SEs), optimized interpolations and a Courant number insensitive CE/SE scheme. This approach is used in two applications, the Woodward double Mach reflection and a two-component Richtmyer–Meshkov instability experiment. This scheme reveals the essential features of the investigated cases, captures small unstable structures, and yields a solution that is consistent with the results from experiments or other high order methods.

关键词: CE/SE method, shock-induced instability, adaptive mesh refinement

Abstract: An essentially conservative adaptive space time conservation element and solution element (CE/SE) method is proposed for the effective simulation of shock-induced instability with low computational cost. Its implementation is based on redefined conservation elements (CEs) and solution elements (SEs), optimized interpolations and a Courant number insensitive CE/SE scheme. This approach is used in two applications, the Woodward double Mach reflection and a two-component Richtmyer–Meshkov instability experiment. This scheme reveals the essential features of the investigated cases, captures small unstable structures, and yields a solution that is consistent with the results from experiments or other high order methods.

Key words: CE/SE method, shock-induced instability, adaptive mesh refinement

中图分类号:  (Numerical simulation; solution of equations)

  • 02.60.Cb
47.11.-j (Computational methods in fluid dynamics) 47.40.Nm (Shock wave interactions and shock effects) 47.20.Cq (Inviscid instability)