Displaying similar documents to “A penalty method for the time-dependent Stokes problem with the slip boundary condition and its finite element approximation”

Vorticity dynamics and numerical Resolution of Navier-Stokes Equations

Matania Ben-Artzi, Dalia Fishelov, Shlomo Trachtenberg (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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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...

Spectral element discretization of the vorticity, velocity and pressure formulation of the Stokes problem

Karima Amoura, Christine Bernardi, Nejmeddine Chorfi (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider the Stokes problem provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. Next we propose a discretization by spectral element methods which relies on this formulation. A detailed numerical analysis leads to optimal error estimates for the three unknowns...

Numerical analysis of the Navier-Stokes equations

Rolf Rannacher (1993)

Applications of Mathematics

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This paper discusses some conceptional questions of the numerical simulation of viscous incompressible flow which are related to the presence of boundaries.