# Vorticity dynamics and numerical Resolution of Navier-Stokes Equations

Matania Ben-Artzi; Dalia Fishelov; Shlomo Trachtenberg

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 35, Issue: 2, page 313-330
- ISSN: 0764-583X

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topBen-Artzi, Matania, Fishelov, Dalia, and Trachtenberg, Shlomo. "Vorticity dynamics and numerical Resolution of Navier-Stokes Equations." ESAIM: Mathematical Modelling and Numerical Analysis 35.2 (2010): 313-330. <http://eudml.org/doc/197531>.

@article{Ben2010,

abstract = {
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.
},

author = {Ben-Artzi, Matania, Fishelov, Dalia, Trachtenberg, Shlomo},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Navier-Stokes equations; vorticity-streamfunction;
numerical algorithm; vorticity boundary conditions.; vorticity streamfunction; incompressible viscid Newtonian fluids; vorticity boundary conditions; vorticity projection method},

language = {eng},

month = {3},

number = {2},

pages = {313-330},

publisher = {EDP Sciences},

title = {Vorticity dynamics and numerical Resolution of Navier-Stokes Equations},

url = {http://eudml.org/doc/197531},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Ben-Artzi, Matania

AU - Fishelov, Dalia

AU - Trachtenberg, Shlomo

TI - Vorticity dynamics and numerical Resolution of Navier-Stokes Equations

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 35

IS - 2

SP - 313

EP - 330

AB -
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.

LA - eng

KW - Navier-Stokes equations; vorticity-streamfunction;
numerical algorithm; vorticity boundary conditions.; vorticity streamfunction; incompressible viscid Newtonian fluids; vorticity boundary conditions; vorticity projection method

UR - http://eudml.org/doc/197531

ER -

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