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	New general scheme for flows at all speeds and its application to turbomachinery
	Li Xuesong ; Gu Chunwei ; Xu Jianzhong
	2010-05-11 ; 2010-05-11
关键词	Practical Theoretical or Mathematical/ compressible flow eigenvalues and eigenfunctions Mach number turbomachinery/ turbomachinery compressible flows Roe scheme Mach number numerical dissipation computational instability non-linear eigenvalues/ A4785 Applied fluid mechanics A4740 Compressible flows shock and detonation phenomena E2300 Mechanical machinery E0210 Engineering mathematics and numerical techniques E2130 Fluid mechanics and aerodynamics (mechanical engineering)
中文摘要	In order to solve the problem of mixed compressible and incompressible flows, All-Speed-Roe scheme is proposed. Based on Roe scheme and preconditioning technology, Low-Speed-Roe scheme is derived. Then, All-Speed-Roe scheme is obtained by uniting Roe scheme and Low-Speed-Roe scheme with the function of local Mach number. Compared with Roe scheme, the effect of acoustic speed on numerical dissipation changes when Mach numbers changes for subsonic flows. Compared with preconditioned Roe scheme, it is easier to realize, and needn't to be cut off by the global Mach number by overcoming the problem of computational instability. Therefore, All-Speed-Roe scheme has uniform accuracy for all flows speeds in theory. In fact, All-Speed-Roe scheme means that the scheme for all flows speeds can be obtained by directly modifying the non-linear eigenvalues. It is a new viewpoint for all-speed schemes. Numerical experiments show that All-Speed-Roe scheme can capture shock and accurately simulate very low Mach number flows. It indicates that All-Speed-Roe scheme has at least the same ability as preconditioned Roe scheme.
语种	中文 ; 中文
出版者	Press of Chinese Journal of Aeronautics ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/25825]
专题	清华大学
推荐引用方式 GB/T 7714	Li Xuesong,Gu Chunwei,Xu Jianzhong. New general scheme for flows at all speeds and its application to turbomachinery[J],2010, 2010.
APA	Li Xuesong,Gu Chunwei,&Xu Jianzhong.(2010).New general scheme for flows at all speeds and its application to turbomachinery..
MLA	Li Xuesong,et al."New general scheme for flows at all speeds and its application to turbomachinery".(2010).

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