Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements

Computers and Fluids

Volumn 35, Issue 4, 2006, Pages 372-392

  Braack, Malte ^a   Richter, Thomas ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; FINITE ELEMENT METHOD; LAMINAR FLOW; NUMERICAL ANALYSIS;

ADAPTIVE FINITE ELEMENTS; NAVIER STOKES BENCHMARK PROBLEM; PIECEWISE QUADRATIC SHAPE FUNCTIONS;

NAVIER STOKES EQUATIONS;

NAVIER-STOKES EQUATIONS;

EID: 29544452804     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.02.001     Document Type: Article

References (14)

1. V. John Higher order finite element methods and multigrid solvers in a benchmark problem for 3D Navier-Stokes equations Int J Numer Math Fluids 40 2002 775-798
2. M. Schäfer S. Turek Benchmark computations of laminar flow around a cylinder (With support by Durst F, Krause E, Rannacher R) In: E. Schäfer editor. Flow simulation with high-performance computers II. DFG priority research program results 1993-1995 Notes numer fluid mech no. 52 1996 Vieweg Wiesbaden 547-566
3. R. Becker M. Braack A finite element pressure gradient stabilization for the Stokes equations based on local projections Calcolo 38 4 2001 173-199
4. R. Becker M. Braack A two-level stabilization scheme for the Navier-Stokes equations In: Feistauer et al. editors. Numerical mathematics and advanced applications, ENUMATH 2003 2004 Springer 123-130
5. Braack M, Burman E. A multiscale method towards turbulent flow based on local projection stabilization. Preprint 2004-45 (SFB 359), University of Heidelberg.
6. Braack M. Solution of complex flow problems: Mesh- and model adaptation with stabilized finite elements. Habilitation thesis, Universität Heidelberg, 2004.
7. R. Becker R. Rannacher An optimal control approach to a posteriori error estimation in finite element methods A. Iserles Acta numerica 2001 vol. 37 2001 Cambridge University Press 1-225
8. P. Ciarlet Finite element methods for elliptic problems 1978 North-Holland Amsterdam
9. C. Johnson Numerical solution of partial differential equations by the finite element method 1987 Cambridge University Press Cambridge, UK
10. J.-L. Guermond Stabilization of Galerkin approximations of transport equations by subgrid modeling M2AN 33 6 1999 1293-1316
11. R. Becker R. Rannacher A feed-back approach to error control in finite element methods: Basic analysis and examples East-West J Numer Math 4 1996 237-264
12. C. Carstensen R. Verfürth Edge residuals dominate a posteriori error estimators for low-order finite element methods SIAM J Numer Anal 36 1999 1571-1587
13. Braack M. An adaptive finite element method for reactive flow problems. PhD dissertation, Universität Heidelberg, 1998.
14. R. Becker M. Braack Multigrid techniques for finite elements on locally refined meshes Numer Linear Algebra Appl 7 2000 363-379 [special issue]