ABSTRACT
The sum of the eigenvalues and the eigenvalues of zero-pressure gas dynamics is exactly the eigenvalues of the full compressible Euler system. The pressure-gradient equations have their own physical value. In this chapter, the authors analyse the structure of solutions to the Riemann problem with the generalized characteristic method, and then present the numerical solutions with MmB (Maximum and minimum bounds preserving) schemes. They analyse the structures of solutions and illustrate the numerical results by the contour curves of pressure and self-similar Mach number. The results demonstrate the complicated flow field patterns and show that the slip lines have little influence on the structures of solutions so that the interaction of rarefaction waves and shocks can be studied thoroughly.
