Finite element simulation of flow in deforming regions

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Abstract

A finite element technique for solving multidimensional flow problems with moving boundaries is developed by means of Galerkin's procedure. The method accounts automatically for continuous grid deformation during simulation, and utilizes finite difference techniques in the time domain. In the absence of grid deformation, the method reduces to the standard Galerkin finite element formulation. Utility of the approach is demonstrated by application to one- and two-dimensional flow problems.

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