Numerical modeling of coastal morphological evolution is a powerful tool for the planning and design of coastal engineering. The coastal morphological modeling system is based on the sediment conservation law, which couples modules for waves, wave-driven currents, and sediment transport rates. The numerical scheme for the sediment conservation law and nonlinear coupling between these modules can lead to dispersions, diffusions, spurious oscillations and instability problems that are still not well established. Filtering or artificial diffusion are often added to achieve stability. In this paper, several controlling oscillations schemes without filters are described. A stable morphological model is introduced with a combination of methods and is performed well with complex coastal area.

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