Numerical simulations of compressible mixing layers with a discontinuous Galerkin method  

作　　者：Xiao-Tian Shi Jun Chen Wei-Tao Bi Chi-Wang Shu Zhen-Su She 

机构地区：[1]State Key Laboratory for Turbulence and Complex Systems and Dept. Mechanical and Aerospace Engineering,College of Engineering,Peking University,100871 Beijing,China Division of Applied Mathematics,Brown University,Providence RI 02912,USA [2]Division of Applied Mathematics, Brown University, Providence RI 02912, USA

出　　处：《Acta Mechanica Sinica》2011年第3期318-329,共12页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (90716008,10572004 and 10921202);MOST 973 Project (2009CB724100) and CSSA

摘　　要：Discontinuous Galerkin（DG） method is known to have several advantages for flow simulations,in particular,in fiexible accuracy management and adaptability to mesh refinement. In the present work,the DG method is developed for numerical simulations of both temporally and spatially developing mixing layers. For the temporally developing mixing layer,both the instantaneous fiow field and time evolution of momentum thickness agree very well with the previous results. Shocklets are observed at higher convective Mach numbers and the vortex paring manner is changed for high compressibility. For the spatially developing mixing layer,large-scale coherent structures and self-similar behavior for mean profiles are investigated. The instantaneous fiow field for a three-dimensional compressible mixing layer is also reported,which shows the development of largescale coherent structures in the streamwise direction. All numerical results suggest that the DG method is effective in performing accurate numerical simulations for compressible shear fiows.Discontinuous Galerkin（DG） method is known to have several advantages for flow simulations,in particular,in fiexible accuracy management and adaptability to mesh refinement. In the present work,the DG method is developed for numerical simulations of both temporally and spatially developing mixing layers. For the temporally developing mixing layer,both the instantaneous fiow field and time evolution of momentum thickness agree very well with the previous results. Shocklets are observed at higher convective Mach numbers and the vortex paring manner is changed for high compressibility. For the spatially developing mixing layer,large-scale coherent structures and self-similar behavior for mean profiles are investigated. The instantaneous fiow field for a three-dimensional compressible mixing layer is also reported,which shows the development of largescale coherent structures in the streamwise direction. All numerical results suggest that the DG method is effective in performing accurate numerical simulations for compressible shear fiows.

关 键 词：Compressible mixing layer - Discontinuous Galerkin method . Self-similarity . Coherent structure 

分 类 号：O241.82[理学—计算数学] V211.1[理学—数学]