Summary
The subsonic flow of several perfect fluids with free boundaries can be described by a variational principle in streamfunction formulation for the two-dimensional case. The variational unknowns are the stream-function, the density and the shapes of the free boundaries. The finite element approximation of this variational principle combined with an automatic mesh generation of the variable domains leads to an optimization problem which is solved by powerful minimization techniques. Three aerodynamic applications are presented in the irrotational axisymmetric or plane case.
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References
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© 1980 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Morice, P. (1980). Finite Element Approximation of a Variational Principle for Perfect Fluid Flows with Free Boundaries. 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_21
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DOI: https://doi.org/10.1007/978-3-322-86146-7_21
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08076-1
Online ISBN: 978-3-322-86146-7
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