ar X iv : s ol v - in t / 9 50 50 05 v 1 3 0 M ay 1 99 5 Approximate Lie Group Analysis of a Model Advection Equation on an Unstructured Grid
نویسنده
چکیده
Purpose: To investigate the Lie groups of transformations (symmetries) approximately admitted by a finite difference discretization of a nonlinear advection equation on an unstructured mesh. Method: A recently developed technique of " approximate group analysis " is applied to a differential approximation (otherwise referred to as an equivalent differential equation) corresponding to the above finite difference approximation. Results and Conclusions: 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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