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Low dissipative high‐order numerical simulations of supersonic reactive flows
Author(s) -
Sjögreen Björn,
Yee H. C.
Publication year - 2003
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.507
Subject(s) - supersonic speed , mach number , dissipative system , mechanics , physics , shock wave , shock (circulatory) , classical mechanics , boundary layer , vorticity , geometry , mathematics , vortex , thermodynamics , medicine
We report the performance of a newly developed low dissipative sixth‐order spatial and fourth‐order temporal scheme ( J. Comput. Phys. 1999; 150 : 199; RIACS Report 01.01, NASA Ames Research Centre, October 2000) for multiscale supersonic reactive flows that contain shock waves. The accuracy and efficiency of the scheme are compared with a low‐dissipative fifth‐order weighted ENO (WENO) scheme ( ICASE Report No. 95‐73, 1995). This paper confirms and complements the grid convergence study of Sjögreen and Yee where a complex shock/shear/boundary‐layer interactions model was also included. A 2D viscous flow consisting of a planar Mach 2 in air interacting with a circular zone of hydrogen bubbles in two different initial configurations is considered. The two initial configurations are a single bubble and two non‐aligned bubbles. The gradient in pressure across the shock in conjunction with the gradient in fluid density between the air and hydrogen produce a large increase in vorticity as the shock passes through the hydrogen fuel. As can be seen in the study of Don and Quillen ( J. Comput. Phys. 1995; 122 : 244), Don and Gottlieb ( SIAM J. Numer. Anal. 1998; 35 : 2370) and the present grid convergence tudy, the size, spacing and velocity of the fine‐scale vortical structures are very difficult to accurately simulate numerically. The difficulty in obtaining well‐resolved multiscale combustion flows by all methods considered will be illustrated. Published in 2003 by John Wiley & Sons, Ltd.