An Eulerian approach for partitioned fluid-structure simulations on Cartesian grids

Computational Mechanics

Volumn 43, Issue 1, 2008, Pages 115-124

  Mehl, Miriam ^a   Brenk, Markus ^a   Bungartz, Hans Joachim ^a   Daubner, Klaus ^a   Muntean, Ioan Lucian ^a   Neckel, Tobias ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Cartesian grids; Coupling environment; Drift ratchet; Eulerian approach; Fluid structure interaction; Partitioned approach

Indexed keywords

FLEXIBLE COUPLINGS;

CARTESIAN GRID; COUPLING ENVIRONMENTS; DRIFT RATCHET; EULERIAN APPROACH; PARTITIONED APPROACH;

FLUID STRUCTURE INTERACTION;

EID: 52549094543     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-008-0290-2     Document Type: Article

References (35)

1. MpCCI 3.0 (2007) Multidisciplinary simulations through code coupling. Fraunhofer SCAI, Sankt Augustin. http://www.mpcci.de/mpcci_manuals.html, manual
2. Bader M, Bungartz HJ, Frank A, Mundani RP (2002) Space tree structures for PDE software. In: Sloot PMA, Tan CJK, Dongarra JJ, Hoekstra AG(eds) Proceedings of the international conference on computer science. LNCS, vol 2331. Springer, Heidelberg, pp 662-671
3. Bijl H, van Zuijlen AH, Bosscher S (2006) Two level algorithms for partitioned fluid-structure interaction computations. In: Wesseling P, Oñate E, Périaux J (eds) ECCOMAS CFD 2006, european conference on computational fluid dynamics, TU delft
4. Blanke C (2004) Kontinuitätserhaltende Finite-Element- Diskretisierung der Navier-Stokes-Gleichungen. Diploma thesis, Fakultät für Mathematik, TU München
5. Brenk M, Bungartz HJ, Mehl M, Mundani RP, Düster A, Scholz D (2005) Efficient interface treatment for fluid-structure interaction on cartesian grids. In: ECCOMAS COUPLED PROBLEMS 2005, Proceedings of the thematic conference on computational methods for coupled problems in science and engineering. International Center for Numerical Methods in Engineering (CIMNE)
6. Brenk M, Bungartz HJ, Mehl M, Neckel T (2006) Fluid-structure interaction on cartesian grids: flow simulation and coupling environment. In: Bungartz HJ, Schäfer M(eds) Fluid-structure interaction. LNCSE, vol 53. Springer, Heidelberg, pp 233-269
7. Brenk M, Bungartz HJ, Mehl M, Muntean IL, Neckel T, Weinzierl T (2007) Numerical simulation of particle transport in a drift ratchet. SIAM J Sci Comput (in review)
8. AJ Chorin 1968 Numerical solution of the Navier-Stokes equations Math Comput 22 745 762
9. 4-User's guide. Lehrstuhl für Bauinformatik, TU München
10. M Emans C Zenger 2005 An efficient method for the prediction of the motion of individual bubbles Int J Comput Fluid Dyn 19 347 356
11. CA Felippa KC Park C Farhat 2001 Partitioned analysis of coupled mechanical systems Comput Methods Appl Mech Eng 190 3247 3270
12. Geller S, Tölke J, Krafczyk M (2006) Lattice-Boltzmann method on quadtree type grids for fluid-structure interaction. In: Bungartz HJ, Schäfer M(eds) Fluid-structure interaction. LNCSE, vol 53. Springer, Heidelberg, pp 270-293
13. Gresho PM, Sani RL (1998) Incompressible flow and the finite element method. Wiley
14. Griebel M, Zumbusch GW (1998) Hash-storage techniques for adaptive multilevel solvers and their domain decomposition parallelization. In: Mandel J, Farhat C, Cai XC (eds) Proceedings of domain decomposition methods 10, DD10, vol 218. AMS, Providence, pp 279-286. http://citeseer.ist.psu.edu/46737.html
15. F Günther M Mehl M Pögl C Zenger 2006 A cache-aware algorithm for PDEs on hierarchical data structures based on space-filling curves SIAM J Sci Comput 28 5 1634 1650
16. FH Harlow JE Welch 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface Phys Fluids 8 12 2182 2189
17. C Kettner P Reimann P Hänggi F Müller 2000 Drift ratchet Phys Rev E 61 312 323
18. Krahnke A (2005) Adaptive Verfahren höherer Ordnung auf cache-optimalen Datenstrukturen für dreidimensionale Probleme, Dissertation. TU München
19. A Masud TJR Hughes 1997 A space-time galerkin/least-squares finite element formulation of the navier-stokes equations for moving domain problems Comput Methods Appl Mech Eng 146 91 126
20. S Matthias F Müller 2003 Asymmetric pores in a silicon membrane acting as massively parallel brownian ratchets lett Nat 424 53 57
21. Mehl M (2006) Cache-optimal data-structures for hierarchical methods on adaptively refined space-partitioning grids. In: International conference on high performance computing and communications 2006, HPCC06. LNCS, vol 4208. Springer, Heidelberg, pp 138-147
22. M Mehl T Weinzierl C Zenger 2006 A cache-oblivious self-adaptive full multigrid method Numer Linear Algebra 13 2-3 275 291
23. Michler C (2005) Efficient numerical methods for fluid-structure interaction, Ph D thesis. PrintPartners Ipskamp
24. R Mittal G Iaccarino 2005 Immersed boundary methods Annu Rev Fluid Mech 37 239 261
25. Pögl M (2004) Entwicklung eines cache-optimalen 3D Finite-Element-Verfahrens für große Probleme, Fortschritt-Berichte VDI, Informatik Kommunikation 10, vol 745. VDI Verlag, Düsseldorf
26. Sagan H (1994) Space-filling curves. Springer, New York
27. Scholz D, Kollmannsberger S, Düster A, Rank E (2006) Thin solids for fluid-structure interaction. In: Bungartz HJ, Schäfer M(eds) Fluid-structure interaction. LNCSE, vol 53. Springer, Heidelberg, pp 294-335
28. MF Tomé S McKee 1994 GENSMAC: a computational marker and cell method for free surface flows in general domains J Comput Phys 110 171 186
29. Turek S, Schäfer M (1996) Benchmark computations of laminar flow around a cylinder. In: Hirschel EH (ed) Flow simulation with high-performance computers II, vol 52. NNFM, Vieweg
30. RWCP Verstappen AEP Veldman 2003 Symmetry-preserving discretization of turbulent channel flow J Comput Phys 187 343 368
31. Vierendeels J (2006) Implicit coupling of partitioned fluid-structure interaction solvers using reduced-order models. In: Bungartz HJ, Schäfer M(eds) Fluid-Structure interaction, modelling, simulation, optimisation. Springer, Heidelberg, pp 1-18
32. Wagner T (2005) Randbehandlung höherer Ordnung für ein cache-optimales Finite-Element-Verfahren auf kartesischen Gittern. Diploma thesis, Institut für Informatik, TU München
33. W Wang 2001 Special bilinear quadrilateral elements for locally refined finite element grids SIAM J Sci Comput 22 6 2029 2050
34. S Yigit M Heck DC Sternel M Schäfer 2007 Efficiency of fluid-structure interaction simulations with adaptive underrelaxation and multigrid acceleration Int J Multiphys 1 85 99
35. Zumbusch G (2001) Adaptive parallel multilevel methods for partial differential equations. Habilitationsschrift, Universität Bonn, Bonn