Semi-implicit spectral element schemes for 2-D shallow water equation are given, and numerical techniques are discussed. The EBE (element by element) idea is generalized to unsymmetric caes. We design mass-matrix diag...Semi-implicit spectral element schemes for 2-D shallow water equation are given, and numerical techniques are discussed. The EBE (element by element) idea is generalized to unsymmetric caes. We design mass-matrix diagonal pre-conditioned conjugate gradient method. The parallel computing is covered, and implemented on PC cluster. The research shows that spectral element has high precision and good scalability for shallow water simulation, and fits on the high-latency PC cluster perfectly.展开更多
文摘Semi-implicit spectral element schemes for 2-D shallow water equation are given, and numerical techniques are discussed. The EBE (element by element) idea is generalized to unsymmetric caes. We design mass-matrix diagonal pre-conditioned conjugate gradient method. The parallel computing is covered, and implemented on PC cluster. The research shows that spectral element has high precision and good scalability for shallow water simulation, and fits on the high-latency PC cluster perfectly.