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Report
Mesh adaption strategies for shallow water flow
Marrocu, Marino; Ambrosi, Davide
Abstract:
In this paper it is shown how themesh adaption technique can be exploited
for the numerical simulation of shallow water flow. The shallow water equations
are numerically approximated by the Galerkin finite element method,
using linear elements for the elevation field and quadratic elements for the
unit-width discharge field; the time advancing scheme is of fractional–step
type. The standard mesh refinement technique is coupled with the numerical
solver; movement and elimination of nodes of the initial triangulation is
not allowed. Two error indicators are discussed and applied in the numerical
examples. The conclusion focuses the relevant advantages that are obtained
applying this adaptive approach by considering specific test cases of steady
and unsteady flows.