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GENSMAC: A computational marker and cell method for free surface flows in general domains. (English) Zbl 0790.76058
A computer program for solving two-dimensional incompressible viscous fluid flow in general domains is described. This is based on the simplified marker and cell technique, but it has a number of novel features. A user-supplied data file of coordinates prescribes the fluid domain which can be quite general and needs only to be connected. With a view to parallelisation the momentum equations are solved explicitly, but an automatic step-changing routine optimises the stability restriction. A conjugate gradient solver is used to invert the discrete Poisson equation. An accurate approximation to the stress conditions on the free surface is adopted.

76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76D33 Waves for incompressible viscous fluids
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