3-STEP EXPLICIT FINITE-ELEMENT COMPUTATION OF SHALLOW-WATER FLOWS ON A MASSIVELY-PARALLEL COMPUTER

Massively parallel finite element strategies for large-scale computati ons of shallow water flows and contaminant transport are presented. Th e finite element discretizations, carried out on unstructured grids, a re based on a three-step explicit formulation both for the shallow wat er equations and for the advection-diffusion equation governing the co ntaminant transport. Parallel implementations of these unstructured-gr id-based formulations are carried out on the Army High Performance Com puting Research Center Connection Machine CM-5. It is demonstrated wit h numerical examples that the strategies presented are applicable to l arge-scale computations of various shallow water flow problems.