Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633586 | Applied Mathematics and Computation | 2008 | 4 Pages |
Abstract
In computational fluid dynamics it is important to maintain strong conservation form in the equations of motion regardless of the coordinate system used. Vinokur’s Theorem says that conservation form can always be maintained. However, the proof is long and has non-obvious steps. In this note a short proof of Vinokur’s Theorem is given which is both simple and illuminating. It uses the theory of differential forms which may also be useful in other algorithmic constructions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Thomas J. Bridges,