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.
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Zeit: | Freitag,
18. January 2002, 14.15 Uhr |
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Ort: | FU Berlin, Arnimallee 2-6, Raum 032 im EG
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