Summary
Presented here is a numerical method to analyze the unsteady states of perfect compressible fluid motions in 3D axisymmetric geometries for those complicated cases where part of the configuration is bounded by continuously changing surfaces, such as free surfaces and material de-formable boundaries. The following topics are especially emphasized:
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1)
the introduction of a reference motion and the subsequent definition of mixed Eulerian-Lagrangian coordinates,
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2)
the development of a powerful numerical technique based on variable domain finite elements for the spatial discretization and finite differences for marching in time.
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As
shown by sample calculations, appropriate selection of the mesh reference motion simplifies, in particular, the treatment of deformable sliding surfaces and the description of impact/rebounding phenomena.
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References
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Van Goethem, G., “Variable Domain Finite Element Analysis of Unsteady Compressible Fluid Flow Problems”, 2nd Int. Conf. on Finite Elements in Water Resources, July 10–14, 1978, London
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Van Goethem, G., “Description mixte d’euler-Lagrange et Modèle d’éléments finis à domaine variable”, Ph.D. -thesis published at the Université Catholique de Louvain, Belgium, 1979
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© 1980 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Van Goethem, G. (1980). Mixed Eulerian — Lagrangian Formulation and Finite Element Solution of 2D Moving Boundary Problems in Compressible Fluid Dynamics. In: Hirschel, E.H. (eds) Proceedings of the Third GAMM — Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics, vol 2. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86146-7_12
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DOI: https://doi.org/10.1007/978-3-322-86146-7_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08076-1
Online ISBN: 978-3-322-86146-7
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