Fig. 1

Example 2. Density (left) and momentum (right) calculated by the GSA IMEX-ARS3 WCNS and the GSA IMEX-ARS3 MUSCL with N=200 cells and the TVD-RK3 WCNS with N=2000 cells at t=0.05. The values of the Mach number are \(\varepsilon =\sqrt {0.99}\) (top), 0.3 (middle) and 0.05 (bottom). a Density,\(\varepsilon =\sqrt {0.99}\), b Momentum,\(\varepsilon =\sqrt {0.99}\), c Density, ε=0.3, d Momentum, ε=0.3, e Density, ε=0.01, f Momentum, ε=0.01