Numerical Riemann solutions in multi-pieces for 2-D gas dynamics systems I. Contact discontinuities.
| SC 92-20 | Shuli Yang
Numerical Riemann solutions in multi-pieces for 2-D gas dynamics systems I. Contact discontinuities. | |
Abstract: The numerical solutions of Riemann
problems in three, four, five and six pieces, which only
contain contact discontinuities, are presented by using
Taylor FVM MmB schemes on regular triangular meshes for 2-D
gas dynamics systems. The 2-D Riemann initial data are as
defined in [1], under the assumption that each jump in
initial data outside of the origin projects exactly one
planar wave of shocks, centered rarefaction waves , or
contact discontinuities. The main ends of the paper are that
spirals will be shown for some configurations and the
relations of the solutions between different distibutions of
Riemann initial data are explained by the numerical
solutions of modified Riemann problems.
Key words and
phrases: Riemann problem, gas dynamics systems, spiral, MmB
schemes.
Keywords: Riemann problem,
gas dynamics systems,
spiral