@Article{JCM-17-5, author = {Xiu-Chuan, Gu and Yang, 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/1999-JCM-9118}, url = {https://global-sci.com/article/85644/spirals-in-2-d-gas-dynamics-systems} }