Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid
solv-int
2016-09-08 v1 comp-gas
Cellular Automata and Lattice Gases
Exactly Solvable and Integrable Systems
Abstract
A technique of ``approximate group analysis'' recently developed by Baikov, Gazizov and Ibragimov is applied to a differential approximation (otherwise referred to as an equivalent differential equation) corresponding to the finite difference approximation of a nonlinear advection equation on unstructured grid. We determine which groups from the infinite variety of groups admitted by a nonlinear advection equation ``survive'' the discretization. The situations arising for different choices of an arbitrary function (local speed of propagation) are also studied.
Keywords
Cite
@article{arxiv.solv-int/9505005,
title = {Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid},
author = {Azat M. Latypov},
journal= {arXiv preprint arXiv:solv-int/9505005},
year = {2016}
}
Comments
8 pages, LaTeX