Resolving the shock-induced combustion by an adaptive mesh redistribution method

doi:10.1016/j.jcp.2006.10.006

	Resolving the shock-induced combustion by an adaptive mesh redistribution method
	Yuan, Li; Tang, Tao
	2007-06-10
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	224 期号:2 页码:587-600
摘要	An adaptive mesh method is presented for numerical simulation of shock-induced combustion. The method is composed of two independent ingredients: a flow solver and a mesh redistribution algorithm. The flow solver is a finite-volume based second-order upwind TVD scheme, together with a lower-upper symmetric Gauss-Seidel relaxation scheme for solving the multispecies Navier-Stokes equations with finite rate chemistry. The adaptive mesh is determined by a grid generation method based on solving Poisson equations, with the monitor function carefully designed to resolve both sharp fronts and the induction zone between them. Numerically it is found that the resolution of the induction zone is particularly critical to the combustion problems, and an under-resolved numerical method may cause excessive energy release and spurious runaway reactions. The monitor function proposed in this paper, which is based on the relative rate of change of mass fraction, covered this issue satisfactorily. Numerical simulations of supersonic flows past an axisymmetric projectile in a premixed hydrogen/oxygen (or air) mixture are carried out. The results show that the spurious runaway chemical reactions appearing on coarse grids can be eliminated by using adaptive meshes without invoking any ad hoc treatment for reaction rates. The adaptive mesh approach is more effective than the fixed mesh one in obtaining grid-independent results. Finally, discrepancies between the numerical and benchmark experimental results and difficulties in simulating the detonation waves are delineated which appeal for further investigation. (c) 2006 Elsevier Inc. All rights reserved.
关键词	adaptive mesh redistribution monitor function chemically reacting flow shock-induced combustion
DOI	10.1016/j.jcp.2006.10.006
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000247325400007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4791
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Li
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Li,Tang, Tao. Resolving the shock-induced combustion by an adaptive mesh redistribution method[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2007,224(2):587-600.
APA	Yuan, Li,&Tang, Tao.(2007).Resolving the shock-induced combustion by an adaptive mesh redistribution method.JOURNAL OF COMPUTATIONAL PHYSICS,224(2),587-600.
MLA	Yuan, Li,et al."Resolving the shock-induced combustion by an adaptive mesh redistribution method".JOURNAL OF COMPUTATIONAL PHYSICS 224.2(2007):587-600.