NUMERICAL SIMULATION OF A MATHEMATICAL MODEL FOR WAVE PROPAGATION ON NON-UNIFORM CURRENT AND DEPTH

摘要

A water wave evolution equation is developed from the combined refraction-diffraction equation on non-uniform current in water of slowly varying topography by using the perturbation method. A numerical model is presented with the governing equation discretized with an improved Alternating Direction Impicit (ADI) method involving a relaxation factor which can improve convergent rate. The calculation results show that the model can effectively reflect the effects of current on wave propagation.