Summary
We present an adaptive finite element technique for solving the Euler equations. The solver is a high resolution explicit scheme based on the implementation over linear triangular elements of the flux corrected transport (FCT) procedure. The adaptive approach is accomplished by regenerating a new mesh using information of the ‘optimum’ local grid characteristics, obtained from the computed solution in the current mesh. In the remeshing procedure the elements can be stretched in the direction of any one-dimensional features and their size may vary significantly through the region of interest. This leads to meshes in which the number of nodes does not increase dramatically at each step of the adaptive procedure.
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© 1989 Friedr Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Morgan, K., Peraire, J., Peiro, J., Zienkiewicz, O.C. (1989). A Finite Element Scheme for the Euler Equations. In: Dervieux, A., Leer, B.V., Periaux, J., Rizzi, A. (eds) Numerical Simulation of Compressible Euler Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 26. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87875-5_15
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DOI: https://doi.org/10.1007/978-3-322-87875-5_15
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-07626-9
Online ISBN: 978-3-322-87875-5
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