Solution of Navier–Stokes Equations Using FEM with Stabilizing Subgrid

M. Tezer-Sezgin (), S. Han Aydın () and A. I. Neslitürk ()
Additional contact information
M. Tezer-Sezgin: Middle East Technical University, Department of Mathematics & Institute of Applied Mathematics
S. Han Aydın: Middle East Technical University, Computer Center
A. I. Neslitürk: Izmir Institute of Technology, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 875-882 from Springer

Abstract: Abstract The Galerkin finite element method (FEM) is used for solving the incompressible Navier–Stokes equations in 2D. Regular triangular elements are used to discretize the domain and the finite-dimensional spaces employed consist of piecewise continuous linear interpolants enriched with the residual-free bubble (RFB) functions. To find the bubble part of the solution, a two-level FEM with a stabilizing subgrid of a single node is described in our previous paper [Int. J. Numer. Methods Fluids 58, 551–572 (2007)]. The results for backward facing step flow and flow through 2D channel with an obstruction on the lower wall show that the proper choice of the subgrid node is crucial to get stable and accurate solutions consistent with the physical configuration of the problems at a cheap computational cost.

Keywords: Reynolds Number; Finite Element Method; Stokes Equation; Reynolds Number Increase; Pressure Contour (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_94

Ordering information: This item can be ordered from
http://www.springer.com/9783642117954

DOI: 10.1007/978-3-642-11795-4_94

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().