Time history of regular to Mach reflection transition in steady supersonic flow

被引:14
作者
Li, S. G. [1 ]
Gao, B. [1 ]
Wu, Z. N. [1 ]
机构
[1] Tsinghua Univ, Sch Aerosp Sci, Beijing 100084, Peoples R China
关键词
gas dynamics; High-speed flow; shock waves; SHOCK-WAVE REFLECTIONS; RIEMANN SOLVERS; STEM;
D O I
10.1017/jfm.2011.201
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, we study the transition from regular to Mach reflection (RR -> MR) in the dual solution domain due to the influence of an upstream disturbance, by considering the transition as an evolutionary rather than an abrupt process. From numerical simulation, we observe for the early stage of transition a multiple interaction structure, composed of a triple-shock structure, a type VI shock interaction and a shock/slipline interaction. In the end, we observe a pure unsteady MR structure. Under self-similar assumption of the triple point for the first stage and including additional Mach waves over the slipline for the last stage, we develop an idealized unsteady model to obtain the evolution of the Mach stem height and the time taken for the Mach stem to stabilize. The triple point is found to move at a nearly constant speed in the multiple interaction stage which occupies about one quarter of the transition time. In the pure unsteady MR stage, which occupies the rest of transition, the speed of the triple point drops nonlinearly until the Mach stem stabilizes.
引用
收藏
页码:160 / 184
页数:25
相关论文
共 18 条
[1]  
Ben-Dor G, 2007, SHOCK WAVE HIGH PRES, P1
[2]  
Ben-Dor G., 2001, HDB SHOCK WAVES
[3]   EFFECTS OF SHOCK IMPINGEMENT ON HEAT TRANSFER AROUND BLUNT BODIES [J].
EDNEY, BE .
AIAA JOURNAL, 1968, 6 (01) :15-&
[4]   A study of the flow structure for Mach reflection in steady supersonic flow [J].
Gao, B. ;
Wu, Z. N. .
JOURNAL OF FLUID MECHANICS, 2010, 656 :29-50
[5]   ASSESSMENT OF RIEMANN SOLVERS FOR UNSTEADY ONE-DIMENSIONAL INVISCID FLOWS OF PERFECT GASES [J].
GOTTLIEB, JJ ;
GROTH, CPT .
JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 78 (02) :437-458
[6]   Numerical analysis of shock wave reflection transition in steady flows [J].
Ivanov, MS ;
Markelov, GN ;
Kudryavtsev, AN ;
Gimelshein, SE .
AIAA JOURNAL, 1998, 36 (11) :2079-2086
[7]   Numerical simulation of the transition between the regular and Mach reflection of shock waves under the action of local perturbations [J].
Ivanov, MS ;
Kudryavtsev, AN ;
Khotyanovskii, DV .
DOKLADY PHYSICS, 2000, 45 (07) :353-357
[8]  
Ivanov MS, 1997, DOKL AKAD NAUK+, V357, P623
[9]   Numerical investigations of transition between regular and Mach reflections caused by free-stream disturbances [J].
Kudryavtsev, A ;
Khotyanovsky, DV ;
Ivanov, MS ;
Hadjadj, A ;
Vadromme, D .
SHOCK WAVES, 2002, 12 (02) :157-165
[10]  
Landau LD, 1976, Mechanics, V1