Higher Order Galerkin Time Discretization for Nonstationary Incompressible Flow

S. Hussain (), F. Schieweck () and S. Turek ()
Additional contact information
S. Hussain: Institut für Angewandte Mathematik, TU-Dortmund
F. Schieweck: Otto-von-Guericke-Universität Magdeburg, Institut für Analysis und Numerik
S. Turek: Institut für Angewandte Mathematik, TU-Dortmund

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 509-517 from Springer

Abstract: Abstract In this paper, we extend our work for the heat equation in (Hussain et al., J Numer Math 19(1):41–61, 2011) and for the Stokes equations in (Hussain et al., Open Numer Methods J 4:35–45, 2012) to the nonstationary Navier-Stokes equations in two dimensions. We examine continuous Galerkin-Petrov (cGP) time discretization schemes for nonstationary incompressible flow. In particular, we implement and analyze numerically the higher order cGP(2)-method. For the space discretization, we use the LBB-stable finite element pair $$Q_{2}/P_{1}^{\mathit{disc}}$$ . The discretized systems of nonlinear equations are treated by using the fixed-point as well as the Newton method and the associated linear subproblems are solved by using a monolithic multigrid solver with GMRES method as smoother. We perform nonstationary simulations for a benchmarking configuration to analyze the temporal accuracy and efficiency of the presented time discretization scheme.

Keywords: Nonstationary Navier-Stokes Equations; Time Discretization Scheme; Multigrid Solver; Benchmark Configuration; Open Numer Methods (search for similar items in EconPapers)
Date: 2013
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:978-3-642-33134-3_54

Ordering information: This item can be ordered from
http://www.springer.com/9783642331343

DOI: 10.1007/978-3-642-33134-3_54

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 ().