Volume 35, Number 2, March/April 2001
|Page(s)||313 - 330|
|Published online||15 April 2002|
Vorticity dynamics and numerical Resolution of Navier-Stokes Equations
Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel. (firstname.lastname@example.org)
2 School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel. (email@example.com)
3 Department of Membrane and Ultrastructure Research, The Hebrew University-Hadassah Medical School, P.O. Box 12271, Jerusalem 91120, Israel. (firstname.lastname@example.org)
Revised: 24 December 2000
We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two dimensional case. We provide numerical data for some test cases to which we apply the computational scheme.
Mathematics Subject Classification: 35Q30 / 65M06 / 76D17
Key words: Navier-Stokes equations / vorticity-streamfunction / numerical algorithm / vorticity boundary conditions.
© EDP Sciences, SMAI, 2001
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