Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions

Figure 5

Instantaneous solutions of the nonlinear scalar equation (19) using the CWENO polynomial reconstruction diagonal smoothing at times (a) 𝑡=0, (b) 𝑡=0.4, and (c) 𝑡=0.8. Shown are isosurfaces at two values 0.5 and 0.05, along with slices along 𝑋=0.3 and 𝑍=0.3, which are projected to the end of the domain. Initial condition—𝑢=0.5, for 0.1≤𝑥≤0.5, 0.1≤𝑦≤0.5, and 0.1≤𝑧≤0.5.

(a)

(b)

(c)