Parallel Algorithms of Well-Balanced and Weighted Average Flux for Shallow Water Model Using CUDA

Algorithm 1

Serial: cell-based calculation.

1: Initialize data

2: for to time_limit increment by

3:  for to row

4:   for to column

5:    for in

6:     Calculation flux in direction using equations (6) and (7)

7:     Calculation flux in direction using equations (6) and (7)

8:    end for

9:   Update solution by equations (8)–(13)

10:  end for

11: end for

9: end for