no. 2
Vorticity dynamics and numerical resolution of Navier-Stokes equations
ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 2, pp. 313-330.

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.

Classification : 35Q30, 65M06, 76D17
Mots clés : Navier-Stokes equations, vorticity-streamfunction, numerical algorithm, vorticity boundary conditions 
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     title = {Vorticity dynamics and numerical resolution of {Navier-Stokes} equations},
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Ben-Artzi, Matania; Fishelov, Dalia; Trachtenberg, Shlomo. Vorticity dynamics and numerical resolution of Navier-Stokes equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 2, pp. 313-330. http://www.numdam.org/item/M2AN_2001__35_2_313_0/

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