Enhancement of fixed-grid methods towards complex fluid-structure interaction applications

International Journal for Numerical Methods in Fluids

Volumn 57, Issue 9, 2008, Pages 1227-1248

  Gerstenberger, Axel ^a   Wall, Wolfgang A ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Adaptivity; Domain decomposition; Extended finite element method; Fixed grid; Fluid structure interaction; Lagrange multiplier

Indexed keywords

CHLORINE COMPOUNDS; FLOW INTERACTIONS; FLUID DYNAMICS; FLUID MECHANICS; FLUID STRUCTURE INTERACTION; LAGRANGE MULTIPLIERS; LIQUIDS; STRUCTURAL DYNAMICS; SURFACE CHEMISTRY; WET ETCHING;

ADAPTIVITY; DOMAIN DECOMPOSITION; EULERIAN FORMULATIONS; EXTENDED FINITE ELEMENT METHOD; FIXED GRID; FIXED-GRID METHODS; HYBRID METHODS; HYBRID SCHEME; LAG RANGE; LAGRANGE MULTIPLIER; MOVING INTERFACES; MOVING MESHES;

FINITE ELEMENT METHOD;

EID: 48549101847     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1782     Document Type: Conference Paper

References (29)

1. Wall WA, Gerstenberger A. Gamnitzer P, Förster C, Ramm E. Large deformation fluid-structure interaction - advances in ALE methods and new fixed grid approaches. In Fluid-Structure Interaction: Modelling, Simulation, Optimisation, Bungartz H-J Schäfer M (eds). Lecture Notes in Computational Science and Engineering. Springer: Berlin, 2006.
2. Tezduyar TE, Sathe S. Modelling of fluid-structure interactions with the space-time finite elements: solution techniques. International Journal for Numerical Methods in Fluids 2007; 54(6-8):855-900.
3. Wall WA, Gamnitzer P, Gerstenberger A. Fluid-structure interaction approaches on fixed grids based on two different domain decomposition ideas. International Journal of Computational Fluid Dynamics 2007 ; submitted.
4. Gerstenberger A, Wall WA. An extended finite element method/Lagrange multiplier based approach for fluid-structure interaction. Computer Methods in Applied Mechanics and Engineering 2008; DOI: 10.1016/ j.cma.2007.07.002.
5. Förster C, Wall WA, Ramm E. On the geometric conservation law in transient flow calculations on deforming domains. International Journal for Numerical Methods in Fluids 2006; 50(12):1369-1379.
6. Förster C, Wall WA, Ramm E. Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 2007; 196(7):1278-1293.
7. Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 1999; 45(5):601-620.
8. Moës N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 1999; 46(l):131-150.
9. Babuška IM, Melenk JM. The partition of unity method. International Journal for Numerical Methods in Engineering1997; 40(4):727-758.
10. Moës N, Béchet E, Tourbier M. Imposing Dirichlet boundary conditions in the extended finite element method. International Journal for Numerical Methods in Engineering 2006; 67(12):1641-1669.
11. Bernardi C, Maday Y, Patera AT. Domain decomposition by the mortar element method. In Asymptotic and Numerical Methods for Partial Differential Equations, Kaper II et al. (eds), vol. 384, Reidel, Dordrecht, 1993; 269-286.
12. Bernardi C, Maday Y, Patera AT. A new nonconforming approach to domain decomposition: the mortar element method. In Nonlinear Partial Differential Equations and their Applications, Brezzi H et al. (eds), vol. 299, Paris, 1994; 13-51.
13. Wohlmuth BI. Discretization Methods and Iterative Solvers Based on Domain Decomposition. Springer: Berlin, 2001.
14. Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structures. Wiley: New York, 2000.
15. Hughes TJ, Liu WK. Implicit-explicit finite elements in transient analysis. Journal of Applied Mechanics 1978; 45:371-378.
16. Solin P, Cerveny J, Dolezel I. Arbitrary-level hanging nodes and automatic adaptivity in the hp-fem. Mathematics and Computers in Simulation, 2007; DOI: 10.1016/j.matcom.2007.02.011.
17. Onãte E, Arteaga J, García J, Flores R. Error estimation and mesh adaptivity in incompressible viscous flows using a residual power approach. Computer Methods in Applied Mechanics and Engineering 2006; 195(4-6):339-362.
18. Sahni O, Müller J, Jansen K, Shephard M, Taylor C. Efficient anisotropic adaptive discretization of the cardiovascular system. Computer Methods in Applied Mechanics and Engineering 2006; 195(41-43):5634-5655.
19. Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part 1: the recovery technique. International Journal for Numerical Methods in Engineering 1992; 33(7):1331-1364.
20. Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part 2: error estimates and adaptivity. International Journal for Numerical Methods in Engineering 1992; 33(7):1365-1382.
21. Stein E, de Borst R, Hughes TJR (eds). Encyclopedia of Computational Mechanics. Wiley: New York, 2004,
22. Cougny HLD, Shephard MS. Parallel refinement and coarsening of tetrahedral meshes. International Journal for Numerical Methods in Engineering 1999; 46(7):1101-1125.
23. Meakin RL, Suhs NE. Unsteady aerodynamic simulation of multiple bodies in relative motion. AlAA Paper 89-1996-CP.
24. Steger JL, Dougherty FC, Benek JA. A Chimera grid scheme. In Advances in Grid Generation, Ghia KN, Ghia U (eds), vol. 5. ASME, FED: New York, 1983.
25. Wang ZJ, Parthasarathy V. A fully automated Chimera methodology for multiple moving body problems. International Journal for Numerical Methods in Fluids 2000; 33(7):919-938.
26. Gamnitzer P, Wall WA. An ALE-chimera method for large deformation fluid structure interaction. In European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, Wesseling P, Onãte E, Périaux J (eds), TU Delft, 2006.
27. Behr M, Tezduyar TE. The shear-slip mesh update method. Computer Methods in Applied Mechanics and Engineering 1999; 174:261-274.
28. Schäfer M, Turek S. Benchmark Computations of Laminar Flow Around a Cylinder. Notes on Numerical Fluid Mechanics, Hirschel EH (ed.), vol. 52, Vieweg, 1996; 547-566.
29. Küttler U, Wall WA. Fixed-point fluid-structure interaction solvers with dynamic relaxation. Computational Mechanics 2008; DOI: 10.1007/s00466-008-0255-5.