A Finite Difference Method with four points weighted implicit scheme and Newton-Raphson iteration method are introduced to complete the flood routing in the tidal river. The problems related to normalization of cross-...A Finite Difference Method with four points weighted implicit scheme and Newton-Raphson iteration method are introduced to complete the flood routing in the tidal river. The problems related to normalization of cross-sectional area and optimization of weighting factor α are discussed and α = 0. 5 - 0. 7 is suggested. With such a α, high accuracy, stable and convergence results and flexible time step will be expected. The computational example of a tidal river in Liaoning Province shows the good agreement with the measuring data on prototype.展开更多
文摘A Finite Difference Method with four points weighted implicit scheme and Newton-Raphson iteration method are introduced to complete the flood routing in the tidal river. The problems related to normalization of cross-sectional area and optimization of weighting factor α are discussed and α = 0. 5 - 0. 7 is suggested. With such a α, high accuracy, stable and convergence results and flexible time step will be expected. The computational example of a tidal river in Liaoning Province shows the good agreement with the measuring data on prototype.
