Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid

Details Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid

1995-05-30

arxiv.org/abs/solv-int/9505005v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

8 pages, LaTeX

Scientific paper

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.

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