A hybrid scheme for the numerical simulation of shock/discontinuity problems

被引:6
作者
Mahmoudnejad, Niloufar [1 ]
Hoffmann, Klaus A. [1 ]
机构
[1] Wichita State Univ, Dept Aerosp Engn, Wichita, KS 67260 USA
关键词
weighted compact scheme; WENO; ACM filter; shock capturing; non-oscillatory scheme; double Mach reflection; shock-vortex interaction; shock-shear layer interaction; shock-entropy interaction; shock tube; ESSENTIALLY NONOSCILLATORY SCHEMES; HYPERBOLIC CONSERVATION-LAWS; SHOCK-TURBULENCE INTERACTION; FINITE-DIFFERENCE SCHEMES; COMPACT-WENO SCHEMES; EFFICIENT IMPLEMENTATION; VORTEX INTERACTIONS; CAPTURING SCHEMES; RESOLUTION; WAVE;
D O I
10.1080/10618562.2011.632371
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
To address accuracy issues for direct numerical simulation, a hybrid scheme based on the weighted compact scheme (WCS) and weighted essentially non-oscillatory (WENO) scheme is developed. The new hybrid method incorporates the advantages of both schemes. Time integration is performed using the fourth-order total variation diminishing Runge-Kutta method with a characteristic filter. The accuracy of the scheme is assessed using several benchmark problems. Results show that the proposed scheme produces a more accurate solution for problems involving shocks and discontinuities in comparison with the traditional shock-capturing methods.
引用
收藏
页码:469 / 486
页数:18
相关论文
共 53 条
[1]   A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems [J].
Adams, NA ;
Shariff, K .
JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 127 (01) :27-51
[2]  
[Anonymous], 45 AIAA AER SCI M EX
[3]  
[Anonymous], NASACR97206253 LANGL
[4]  
Arshed G.M., 2009, 19 AIAA COMP FLUID D
[5]  
Bogey C., 2008, 14 AIAA CEAS AER C 2
[6]  
Colella P., 1984, LECT NOTE PHYS, V218, P154
[7]   THE MIXING LAYER - DETERMINISTIC MODELS OF A TURBULENT-FLOW .1. INTRODUCTION AND THE TWO-DIMENSIONAL FLOW [J].
CORCOS, GM ;
SHERMAN, FS .
JOURNAL OF FLUID MECHANICS, 1984, 139 (FEB) :29-65
[8]  
DENG X., 1997, 13 COMP FLUID DYN C
[9]  
Deng X., 1996, 27 AIAA FLUID DYN C
[10]   The shock-vortex interaction: The origins of the acoustic wave [J].
Ellzey, JL ;
Henneke, MR .
FLUID DYNAMICS RESEARCH, 1997, 21 (03) :171-184