@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} }