Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 53, Issue 5, Pages 867-894Publisher
WILEY-BLACKWELL
DOI: 10.1002/fld.1311
Keywords
non-linear shallow water; well-balanced; finite volumes; moving shoreline; topography
Ask authors/readers for more resources
We consider numerical Solutions of the two-dimensional non-linear shallow water equations with a bed slope source term. These equations are well-suited for the study of many geophysical phenomena, including coastal engineering where wetting and drying processes are commonly observed. To accurately describe the evolution of moving shorelines over strongly varying topography, we first investigate two well-balanced methods of Godunov-type, relying on the resolution of non-homogeneous Riemann problems. But even if these schemes were previously proved to be efficient in many simulations involving occurrences of dry zones, they fail to compute accurately moving shorelines. From this, we investigate a new model, called SURF-WB, especially designed for the Simulation of wave transformations over strongly varying topography. This model relies on a recent reconstruction method for the treatment of the bed-slope source term and is able to handle strong variations of topography and to preserve the steady states at rest. In addition, the use of the recent VFRoe-ncv Riemann solver leads to a robust treatment of wetting and drying phenomena. An adapted 'second order' reconstruction generates accurate bore-capturing abilities. This scheme is validated against several analytical Solutions, involving varying topography, time dependent moving shorelines and convergences toward steady states. This model should have an impact in the prediction of 2D moving shorelines over strongly irregular topography. Copyright (c) 2006 John Wiley & Sons, Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available