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Vorticity dynamics and numerical ResolutionofNavier-Stokes Equations

Published online by Cambridge University Press:  15 April 2002

Matania Ben-Artzi ,
Dalia Fishelov  and
Shlomo Trachtenberg
Matania Ben-Artzi
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel. (mbartzi@math.huji.ac.il)
Dalia Fishelov
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel. (daliaf@math.tau.ac.il)
Shlomo Trachtenberg
Affiliation:
Department of Membrane and Ultrastructure Research, The Hebrew University-Hadassah Medical School, P.O. Box 12271, Jerusalem 91120, Israel. (shlomot@cc.huji.ac.il)
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Abstract

We present a new methodology for the numerical resolution of the hydrodynamicsof incompressible viscid newtonian fluids. It is based on the Navier-Stokesequations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurationstypical to the motion of biological structures in viscous fluids.Although the method is applicable to three dimensions, we address herein detail only the two dimensional case. We provide numerical data forsome test cases to which we apply the computational scheme.

Keywords

Navier-Stokes equationsvorticity-streamfunctionnumerical algorithmvorticity boundary conditions.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 2 , March 2001 , pp. 313 - 330
Copyright
© EDP Sciences, SMAI, 2001

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