Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations

Barrenechea, G.R. and Chouly, F. (2009) A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations. Zeitschrift fur Angewandte Mathematik und Mechanik, 89 (1). pp. 54-68. ISSN 0044-2267

[img]
Preview
PDF (Barrenechea-Chouly.pdf)
Download (740Kb) | Preview

    Abstract

    A finite element method to solve the bidimensional Reduced Navier-Stokes Prandtl (RNS/P) equations is described. These equations are an asymptotical simplification of the full Navier-Stokes equations, obtained when one dimension of the domain is of one order smaller than the others. These are therefore of particular interest to describe flows in channels or pipes of small diameter. A low order finite element discretization, based on a piecewise constant approximation of the pressure, is proposed and analyzed. Numerical experiments which consist in fluid flow simulations within a constricted pipe are provided. Comparisons with Navier-Stokes simulations allow to evaluate the performance of prediction of the finite element method, and of the model itself.

    Item type: Article
    ID code: 15104
    Keywords: incompressible flow, RNS/P equations, finite elements, Mathematics, Computational Mechanics, Applied Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Mrs Irene Spencer
    Date Deposited: 03 Feb 2010 16:20
    Last modified: 04 Sep 2014 23:45
    URI: http://strathprints.strath.ac.uk/id/eprint/15104

    Actions (login required)

    View Item

    Fulltext Downloads: