Stabilized seventh-order dissipative compact scheme for two-dimensional Euler equations

Qin Jia-Xian, Chen Ya-Ming^†, Deng Xiao-Gang

Density contours on the grid consists of four subdomains with 41 × 41 (U), 41 × 21 (V), 21 × 41 (W), and 21 × 21 (Z) points. Here the time step Δ t = 0.1 h x 1 h y 1 is chosen to implement the fourth-order Runge–Kutta scheme. (a) At the moment t = 0. (b) At the moment t = 5. (c) At the moment t = 10. (d) At the moment t = 15.