Coupled Fluid Flow in Energy, Biology and Environmental Research

Book Series: Progress in Computaional Physics (PiCP)

Volume 2

by

Matthias Ehrhardt

DOI: 10.2174/97816080525471120101
eISBN: 978-1-60805-254-7, 2012
ISBN: 978-1-60805-691-0
ISSN: 1879-4661 (Print)



Indexed in: EBSCO, Ulrich's Periodicals Directory.

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Spectral Discretization of the Stokes Problem with Mixed Boundary Conditions

- Pp. 42-61 (20)

K. Amoura, C. Bernardi, N. Chorfi and S. Saadi

Abstract

The variational formulation of the Stokes problem with three independent unknowns, the vorticity, the velocity and the pressure, was used to handle non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We propose an extension of this formulation to the case of mixed boundary conditions in a three-dimensional domain. Next we consider a spectral discretization of this problem. A detailed numerical analysis leads to error estimates for the three unknowns and numerical experiments confirm the interest of the discretization.

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