The Computation Of Spherical Compressible Fluid Flows By The GRP Scheme

We present the generalized Riemann problem (GRP) scheme for the spherical compressible fluid flows. The scheme is obtained directly by the time integration of the fluid flows, and the numerical boundary condition at the origin is derived with the technique to transfer from the Cartesian coordinates to the spherical coordinates. The numerical boundary condition is the main contribution in this thesis. Serval examples are displayed to illustrate the new shock growth, the interaction of shocks in the context of supernova explosion.