A Parallel 2D Lagrangian{Eulerian Model for the Shallow Water Equations
نویسنده
چکیده
An implementation of a parallel 2D Lagrangian{Eulerian model solving the shallow water and salinity transport equations on a massively parallel Multiple Instruction Multiple Data (MIMD) machine (nCUBE 2) is presented. Operator splitting in the basic equations leads to a coupling of the Method of Characteristics with the Finite-Element Method (FEM). The set of linear equations in the FEM are solved using diagonal preconditioning and Conjugate Gradient Methods. The mesh partitioning for unstructured grids is carried out with the Recursive Spectral Bisection Method for the dual graph in combination with the Kernighan{Lin procedure. The performance of the implemented parallel algorithm is demonstrated using a case study of the German estuary 'Darr{Zingster Boddenkette' at the Baltic Sea.
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