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Shallow Liquid Simulation Erik Neumann 610 2001

AMATH 581 Homework 2 Shallow Liquid Simulation Erik Neumann 610 N. 65th St., Seattle, WA 98103 erikn@MyPhysicsLab.com November 19, 2001 Abstract A model of shallow fluid behavior is evaluated using a variety of numerical solving techniques. The model is defined by a pair of partial differential equations which have two dimensions in space and one dimension of time. The equations concern the vorticity ω and the stream function ψ which are related to the velocity field of the fluid. The equations are first discretized in time and space. The time behavior is evaluated using a Runge-Kutta ordinary differential equation solver. The spatial.