摘要
In this paper a simple and efficient implicit finite-difference scheme is used for depth-averaged two-dimensional storm surge model. This finite-difference scheme is simpler and more efficient than the widely-used ADI scheme. Accuracy analysis and stability analysis indicate that the scheme has two-order accuracy and is unconditionally stable when the grid size is constant. The present analysis results show that the scheme is of higher numerical accuracy than that introduced by Maa (1990). After tested by ideal models, a calculation example of a real typhoon surge is carried out, the results of the numerical simulation coincide well with the observed data and the accuracy is sufficient for engineering applications.
In this paper a simple and efficient implicit finite-difference scheme is used for depth-averaged two-dimensional storm surge model. This finite-difference scheme is simpler and more efficient than the widely-used ADI scheme. Accuracy analysis and stability analysis indicate that the scheme has two-order accuracy and is unconditionally stable when the grid size is constant. The present analysis results show that the scheme is of higher numerical accuracy than that introduced by Maa (1990). After tested by ideal models, a calculation example of a real typhoon surge is carried out, the results of the numerical simulation coincide well with the observed data and the accuracy is sufficient for engineering applications.
