Time Dependent Flow Simulations using the Least Squares Spectral Element Method with Direct Minimization

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Abstract

In this work a new approach to time dependent problems in combination with the Least-Squares Spectral Element Method (LSQSEM) will be discussed. Various time-stepping formulations will be presented. These time-stepping formulations will be compared to the full space-time formulation. It will be shown that time-stepping formulations give accurate results for comparable CPU times. Furthermore is will be shown that a smaller timestep or a higher polynomial degree not always decreases the error norm.

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