A velocity pressure streamline diffusion finite element method for Navier-Stokes equations
1990 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 84, no 2, 175-192 p.Article in journal (Refereed) Published
A streamline diffusion finite-element method is introduced for the time-dependent incompressible Navier-Stokes equations in a bounded domain in R squared and R cubed in the case of a flow with a high Reynolds number. An error estimate is proved and numerical results are given. The method is based on a mixed velocity-pressure formulation using the same finite-element discretization of space-time for the velocity and the pressure spaces, which consist of piecewise linear functions, together with certain least-squares modifications of the Galerkin variational formulation giving added stability without sacrificing accuracy.
Place, publisher, year, edition, pages
1990. Vol. 84, no 2, 175-192 p.
COMPUTATIONAL FLUID DYNAMICS, FINITE ELEMENT METHOD, INCOMPRESSIBLE FLOW, NAVIER-STOKES EQUATION, STREAMLINING, ERROR ANALYSIS, FLOW VELOCITY, GALERKIN METHOD, HIGH REYNOLDS NUMBER, PRESSURE DISTRIBUTION, TIME DEPENDENCE
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90708OAI: oai:DiVA.org:kth-90708DiVA: diva2:506141
NR 201408052012-02-272012-02-27Bibliographically approved