Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520289 | Journal of Computational Physics | 2014 | 10 Pages |
Abstract
In this note we generalize our previous treatment of the discretizations of geometric conservation laws on steady grids (Vinokur and Yee, 2000) to general time dependent grids. The commutative property of mixed difference operators is generalized to apply to time metrics and Jacobians. Our treatment uses half the number of terms as those used in a recent paper by Abe et al. (2012). We also derive the proper temporal discretizations of both Runge–Kutta and linear multistep methods to satisfy the commutativity property for higher than first order.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Björn Sjögreen, H.C. Yee, Marcel Vinokur,