Abstract:
In this thesis, a parallel numerical method for solving two-dimensional shallow water flow problems is presented. A mathematical model is described. A high-resolution Godunovs method which is based on a second-order approximate Riemann solver is used to solve the 2-D shallow water equations. The local Riemann problem is solved by using the Harten, Lax and Van Leer approach (HLL) and by the Roe method. The parallel code program has been implemented on distributed-shared memory system, by using domain decomposition techniques. A message passing interface (MPI) is incorporated for inter-processor data communication. In addition, numerical solutions and performance results are also presented
