Vorticity dynamics and numerical resolution of Navier-Stokes equations

Matania Ben-Artzi; Dalia Fishelov; Shlomo Trachtenberg

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2001)

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

Abstract

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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.

How to cite

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Ben-Artzi, Matania, Fishelov, Dalia, and Trachtenberg, Shlomo. "Vorticity dynamics and numerical resolution of Navier-Stokes equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.2 (2001): 313-330. <http://eudml.org/doc/194052>.

@article{Ben2001,
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 - Modélisation Mathématique et Analyse Numérique},
keywords = {Navier-Stokes equations; vorticity-streamfunction; numerical algorithm; vorticity boundary conditions; vorticity streamfunction; incompressible viscid Newtonian fluids; vorticity projection method},
language = {eng},
number = {2},
pages = {313-330},
publisher = {EDP-Sciences},
title = {Vorticity dynamics and numerical resolution of Navier-Stokes equations},
url = {http://eudml.org/doc/194052},
volume = {35},
year = {2001},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 2001
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 projection method
UR - http://eudml.org/doc/194052
ER -

References

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