A non-hydrostatic free surface 2D vertical model using discrete singular convolution (DSC) method

Abstract

This paper is an extension for the efficient implicit two-dimensional vertical model presented by previous investigators for simulating unsteady non-hydrostatic free-surface flows. Discrete singular convolution is used in order to improve the accuracy order of spatial derivatives. However, the conventional projection method only uses adjacent cells' values (as a second order finite volume scheme), DSC method employs function values over a band width of cells. Besides, second order Runge Kutta approximation is used to improve temporal accuracy. The DSC method is used for free surface flows and gravity current for the first time. Comparison between this extension, conventional projection method and experimental observations shows that the DSC method has improved gravity current velocity prediction.