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Solution of Navier–Stokes Equations Using FEM with Stabilizing Subgrid

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Tezer-Sezgin & S. Han Aydın & A. I. Neslitürk, 2010. "Solution of Navier–Stokes Equations Using FEM with Stabilizing Subgrid," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 875-882, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_94
    DOI: 10.1007/978-3-642-11795-4_94
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