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Dr. Bonaventura

University of Trento

A cascading conjugate gradient solver for the shallow water equations on locally refined grids

Abstract: A semi-implicit and mass conservative discretization scheme is applied to the two-dimensional shallow water equations on a hierarchy of structured, locally refined Cartesian grids. The grids at different resolutions are fully interacting and the discrete Helmholtz equation obtained from the semi-implicit discretization is solved by the cascading conjugate gradient method. A flux correction is applied at the interface between the coarser and finer discretization grids, so as to ensure discrete mass conservation, along with symmetry and diagonal dominance of the resulting matrix. Two dimensional idealized simulations are presented, showing the accuracy and the efficiency of the resulting method.
Zeit: Freitag, 18. January 2002, 14.15 Uhr
Ort:FU Berlin, Arnimallee 2-6, Raum 032 im EG

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