Advances in fixed-grid fluid structure interaction

Computational Methods in Applied Sciences

Volumn 14, Issue , 2009, Pages 235-249

  Wall, W A ^a   Gerstenberger, A ^a   Mayer, U M ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Arbitrary lagrangian eulerian formulation; EXtended finite element method; Fixed grid approach; Fluid structure interaction; Lagrange multiplier; Local adaptivity

Indexed keywords

EID: 84962861439     PISSN: 18713033     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-9231-2_16     Document Type: Conference Paper

References (20)

1. I. M. Babuška, J. M. Melenk, The partition of unity method, International Journal for Numerical Methods in Engineering 40 (4) (1997) 727-758.
2. M. Behr, T. E. Tezduyar, The shear-slip mesh update method, Computer Methods in Applied Mechanics and Engineering 174 (1999) 261-274.
3. T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering 45 (5) (1999) 601-620.
4. C. Bernardi, Y. Maday, A. T. Patera, Asymptotic and numerical methods for partial differential equations with critical parameters, Vol. 384, chap. Domain decomposition by the mortar element method, Reidel, Dordrecht, 1993, pp. 269-286.
5. C. Bernardi, Y. Maday, A. T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, Nonlinear partial differential equations and their applications 299 (1994) 13-51.
6. C. Förster, W. A. Wall, E. Ramm, On the geometric conservation law in transient flow calculations on deforming domains, International Journal for Numerical Methods in Fluids 50 (12) (2006) 1369-1379.
7. C. Förster, W. A. Wall, E. Ramm, Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering 196 (7) (2007) 1278-1293.
8. A. Gerstenberger, W. A. Wall, Efficient treatment of moving interfaces on fixed grids for surface coupled problems, International Journal for Numerical Methods in Fluids, accepted, DOI: 10.1002/fld.1782.
9. A. Gerstenberger, W. A. Wall, An extended finite element method/Lagrange multiplier based approach for fluid-structure interaction, Computer Methods in Applied Mechanics and Engineering 197 (19-20) (2008) 1699-1714.
10. U. Küttler, W. A. Wall, Fixed-point fluid-structure interaction solvers with dynamic relaxation, Computational Mechanics 43 (2008) 61-72.
11. U. M. Mayer, A. Gerstenberger, W. A. Wall, Interface handling for three-dimensional higherorder xfem computations in fluid-structure interaction, International Journal for Numerical Methods in Engineering, submitted.
12. R. L. Meakin, N. E. Suhs, Unsteady aerodynamic simulation of multiple bodies in relative motion, AIAA Paper 89-1996-CP.
13. N. Moës, J. Dolbow, T. Belytschko, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering 46 (1) (1999) 131-150.
14. P. Solin, J. Cerveny, I. Dolezel, Arbitrary-level hanging nodes and automatic adaptivity in the hp-fem, Mathematics and Computers in Simulation, in press, Corrected Proof (2007).
15. J. L. Steger, F. C. Dougherty, J. A. Benek, A Chimera grid scheme, In: K. N. Ghia, U. Ghia (Eds.), Advances in Grid Generation, Vol. 5, American Society of Mechanical Engineers, FED, New York, 1983.
16. T. E. Tezduyar, S. Sathe, Modelling of fluid-structure interactions with the space-time finite elements: solution techniques, International Journal for Numerical Methods in Fluids 54 (6-8) (2007) 855-900.
17. W. A. Wall, P. Gamnitzer, A. Gerstenberger, Fluid-structure interaction approaches on fixed grids based on two different domain decomposition ideas, International Journal of Computational Fluid Dynamics, 22 (2008) 411-427.
18. W. A. Wall, A. Gerstenberger, P. Gamnitzer, C. Förster, E. Ramm, Large deformation fluid-structure interaction - Advances in ALE methods and new fixed grid approaches, In: H.-J. Bungartz, M. Schafer (Eds.), Fluid-Structure Interaction: Modelling, Simulation, Optimisation, LNCSE, Berlin, Heidelberg, Springer, 2006.
19. Z. J. Wang, V. Parthasarathy, A fully automated Chimera methodology for multiple moving body problems, International Journal for Numerical Methods in Fluids 33 (7) (2000) 919-938.
20. B. I. Wohlmuth, Discretization Methods and Iterative Solvers Based on Domain Decomposition, Berlin, Springer, 2001.