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3D FLOW CALCULATIONS WITH AN A-L-E DESCRIPTION USING SPACE-TIME FINITE ELEMENTS

✍ Scribed by GÜLÇAT, ÜLGEN ;MISIRLIOĞLU, AYDIN ;ASLAN, A. RÜSTEM


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
327 KB
Volume
13
Category
Article
ISSN
1069-8299

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✦ Synopsis


A space±time ®nite element method based on an arbitrary Lagrangian±Eulerian description is developed and implemented for the solution of Navier±Stokes equations for predicting the unsteady incompressible ¯ows past arbitrary geometries. The governing equations are expressed in the ®xed frame of reference wherein the terms related to grid motion are included. Superparametric space±time elements are used in discretization of the domain in which the ®nite elements are both allowed to move and deform. The code developed here is calibrated and tested on the ¯ow about a drifting sphere. First, the unidirectionally drifting sphere is set to drift from a steady state at an initial Reynolds number of 1000. In addition, laminar ¯ow about a drifting and falling sphere is studied, starting from the steady state at a Reynolds number of 10,000.