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A projection method for constructing a mass conservative velocity field. (English) Zbl 0953.76045
Summary: We develop a velocity projection method that is both accurate and mass conservative element-by-element method on a projected grid. The velocity correction is expressed as gradient of a scalar pressure field, and the resultant Poisson equation is solved using a mixed/hybrid finite element method and lowest-order Raviart-Thomas spaces. The conservative projection method is applied to the system of shallow water equations, and a theoretical error estimate is derived.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76D33 Waves for incompressible viscous fluids
Software:
ADCIRC
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