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Implementation of the Space Time Finite Volume Method on a One Dimensional Wave Maker
by
Matthew Brozak
University of Central Arkansas
Coauthors: Dr. Clarence Burg
The traditional finite-volume approach when applied to moving and deforming meshes requires two additional steps, which must implemented consistently with the finite volume approach, to account for changes in the mesh by use of the Reynolds Transport Theorem and the Geometric Conservation Law. The space-time finite volume method (ST-FV) handles moving and deforming meshes seamlessly and naturally resulting in a solution that is spatially accurate and conservative. By implementing the ST-FV method on the St. Venant Equations, which are a one-dimensional simplification of the incompressible Euler equations, the results are both fully conservative and second order accurate. These properties are demonstrated by implementation of the ST-FV method on a virtual wave maker.
Date received: August 31, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-77.