Year: 1999
Author: Xiu-Chuan Gu, Shu-Li Yang, Li-Xin Tao
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 463–474
Abstract
In this paper, the phenomena of spirals are numerically presented by MmB scheme [1] for initial value problems of 2-D gas dynamics $(γ=1.4)$, which include 2-D Riemann problems and continuous initial value problems. The numerical results are well coincide with on the exact solution in [2] and the conjectures on solution structure in [3] for 2-D isentropic and adiabatic flows. In isentropic flow, for high speed rotation $(v_0/c_0 >\sqrt{2})$, there is a region of vacuum at the origin and for low speed rotation $(v_0/c_0 <\sqrt{2})$, there is no vacuum, and for adiabatic flow, the structure of spirals is also discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9118
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 463–474
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Spiral MmB scheme Conservation laws.