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Volume 17, Issue 5
Spirals in 2-D Gas Dynamics Systems

Xiu-Chuan Gu, Shu-Li Yang & Li-Xin Tao

J. Comp. Math., 17 (1999), pp. 463-474.

Published online: 1999-10

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  • 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. 

  • Keywords

Spiral, MmB scheme, Conservation laws.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-17-463, author = {Gu , Xiu-ChuanYang , Shu-Li and Tao , Li-Xin}, title = {Spirals in 2-D Gas Dynamics Systems}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {5}, pages = {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. 

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9118.html} }
TY - JOUR T1 - Spirals in 2-D Gas Dynamics Systems AU - Gu , Xiu-Chuan AU - Yang , Shu-Li AU - Tao , Li-Xin JO - Journal of Computational Mathematics VL - 5 SP - 463 EP - 474 PY - 1999 DA - 1999/10 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9118.html KW - Spiral, MmB scheme, Conservation laws. AB -

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. 

Gu , Xiu-ChuanYang , Shu-Li and Tao , Li-Xin. (1999). Spirals in 2-D Gas Dynamics Systems. Journal of Computational Mathematics. 17 (5). 463-474. doi:
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