Abstract
This work presents an entropy-based monitor function for mesh movement with an application to the Euler Equations. The entropy variables provide an alternate description of the system and are used in conjunction with the conserved variables to develop a monitor function which is shown to be an ecient method of detecting waves. Two moving mesh algorithms are examined: a Gauss-Seidel iterative method and an Arbitrary LagrangianEulerian method. Numerical results in 1D and 2D are used to demonstrate their ability.
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