Moving Mesh Finite Volume Methods for One-dimensional Evolutionary Partial Diierential Equations
نویسنده
چکیده
Finite volume moving mesh methods are developed for unsteady one-dimensional partial diierential equations. The methods can be viewed as conservative discretisations of the Lagrangian form of the original diier-ential equations. Grid points are moved using the idea of mesh equidistri-bution. The coupled unsteady diierential equations and grid movement equations are solved using a robust and eecient iterative procedure that ensures no mesh crossover. Automatic time step control is also implemented for problems with rapid temporal variations. Numerical results are given for a number of demanding test problems to demonstrate the accuracy of the moving mesh methods.
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