Brennen, Christopher and Whitney, Arthur K. (1970) Unsteady, Free Surface Flows; Solutions Employing the Lagrangian Description of the Motion. In: Hydrodynamics in the Ocean Environment; Eighth Symposium, Naval Hydrodynamics. [ONR] Symposium on Naval Hydrodynamics. No.8. Office of Naval Research , Arlington, VA, USA, pp. 117-145. http://resolver.caltech.edu/CaltechAUTHORS:BREonrsnh70
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Numerical techniques for the solution of unsteady free surface flows are briefly reviewed and consideration is given to the feasibility of methods involving parametric planes where the position and shape of the free surface are known in advance. A method for inviscid flows which uses the Lagrangian description of the motion is developed. This exploits the flexibility in the choice of Lagrangian reference coordinates and is readily adapted to include terms due to inhomogeneity of the fluid. Numerical results are compared in two cases of irrotational flow of a homogeneous fluid for which Lagrangian linearized solutions can be constructed. Some examples of wave run-up on a beach and a shelf are then computed.
|Item Type:||Book Section|
|Additional Information:||ACR-179. The authors are deeply appreciative of the kind and considerate help given by Professor T. Y. Wu. This work was partially sponsored by the National Science Foundation under grant GK 2370 and by the Office of Naval Research under contract N00014-67-A-0094-0012.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Christopher Brennen|
|Deposited On:||11 Nov 2004|
|Last Modified:||06 May 2014 15:44|
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