Improving efficiency of coupled schemes for Navier-Stokes equations by a connection to grad-div stabilitzed projection methods

Loading...
Thumbnail Image
Date
2013
Volume
1835
Issue
Journal
Series Titel
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Link to publishers version
Abstract

We prove that in finite element settings where the divergence-free subspace of the velocity space has optimal approximation properties, the solution of Chorin/Temam projection methods for Navier-Stokes equations equipped with grad-div stabilization with parameter , converge to the associated coupled method solution with rate gamma as gamma -> ?. We prove this first for backward Euler schemes, and then extend the results to BDF2 schemes, and finally to schemes with outflow boundary conditions. Several numerical experiments are given which verify the convergence rate, and show how using projection methods in this setting with large grad-div stabilization parameters can dramatically improve accuracy.

Description
Keywords
Incompressible Navier-Stokes equations, projection method, grad-div stabilization, divergence-free finite elemen, Navier-Stokes-Gleichung
Citation
Linke, A., Neilan, M., Rebholz, L. G., & Wilson, N. E. (2013). Improving efficiency of coupled schemes for Navier-Stokes equations by a connection to grad-div stabilitzed projection methods (Vol. 1835). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
Collections
License
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.