Published in Int. Journal for Numerical Methods in Engineering Vol. 39 (6), pp. 1053-1071, 1996
doi: 10.1002/(SICI)1097-0207(19960330)39:6<1053::AID-NME896>3.0.CO;2-N

Abstract

We examine the use of natural boundary conditions and conditions of the Sommerfeld type for finite element simulations of convective transport in viscous incompressible flows. We show that natural boundary conditions are superior in the sense that they always provide a correct boundary condition, as opposed to the Sommerfeld‐type conditions, which can lead to a singular formulation and a great loss of accuracy. For the Navier–Stokes equations, the natural boundary conditions must be combined with a simple method to eliminate perturbations on the pressure at the open boundary, which is the source of most errors.


The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top

Document information

Published on 12/12/18
Submitted on 12/12/18

DOI: 10.1002/(SICI)1097-0207(19960330)39:6<1053::AID-NME896>3.0.CO;2-N
Licence: CC BY-NC-SA license

Document Score

0

Times cited: 4
Views 7
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?