摘要
In this paper, the phenomena of spirals are numerically presented by MmB scheme [1] for initial value problems of 2-D gas dynamics (gamma = 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) > root 2), there is a region of vacuum at the origin and for low speed rotation (v(0)/c(0) < root 2), there is no vacuum, and for adiabatic flow, the structure of spirals is also discussed.
In this paper, the phenomena of spirals are numerically presented by MmB scheme [1] for initial value problems of 2-D gas dynamics (gamma = 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) > root 2), there is a region of vacuum at the origin and for low speed rotation (v(0)/c(0) < root 2), there is no vacuum, and for adiabatic flow, the structure of spirals is also discussed.