Fig. 7
Time evolutions of a total number of active grid points of the adaptive mesh and b execution time per 2000 steps during the directional solidification simulations shown in Fig. 5. In the graphs, the black, red, and green lines indicate the results of Case 1 (Fig. 5a), Case 2 (Fig. 5b), and Case 3 (Fig. 5c), respectively. The vertical axis of the left graph represents the ratio of the total number of grid points of the adaptive mesh to that of the uniform mesh with Δx = Δxmin (= 1024 × 1024 × 2048). For comparison, the execution time for the simulation with the uniform mesh (1024Δx × 1024Δx × 2048Δx) using 16 GPUs (1 × 4 × 4 subdomains) is shown in the right graph as a thick black dashed line