Robust and efficient solution of the 2D shallow water equation with domains containing dry beds
Stephen Roberts and Christopher Zoppou
(Received 7 August 2000)
Abstract
A number of the standard numerical methods used to solve the
two-dimensional shallow water wave equations are unstable if their
domains contain dry beds. We present a robust and stable finite
volume method based on an unstructured triangular grid which can deal
with dry beds. In particular we present a second-order explicit
method which deal with dry beds in a stable manner. The method uses a
simple approximate one dimensional Riemann solver due to Toro which
provides the basis for an efficient implementation.