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 - <p style="text-align: justify;">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&nbsp; and adiabatic flows. In isentropic flow, for high speed rotation $(v_0/c_0 &gt;\sqrt{2})$, there is a region of vacuum at the origin and for low speed rotation $(v_0/c_0 &lt;\sqrt{2})$, there is no vacuum, and for adiabatic flow, the structure of spirals is also discussed.&nbsp;</p>