Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707974 | Applied Mathematics Letters | 2014 | 5 Pages |
Abstract
The system of shallow water equations admits infinitely many conservation laws. This paper investigates weak local residuals as smoothness indicators of numerical solutions to the shallow water equations. To get a weak formulation, a test function and integration are introduced into the shallow water equations. We use a finite volume method to solve the shallow water equations numerically. Based on our numerical simulations, the weak local residual of a simple conservation law with a simple test function is identified to be the best as a smoothness indicator.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Sudi Mungkasi, Zhenquan Li, Stephen Gwyn Roberts,