Efficiency of fluid-structure interaction simulations with adaptive underrelaxation and multigrid acceleration
DOI:
https://doi.org/10.1260/175095407780130535Abstract
In the present paper the efficiency of acceleration techniques for fluid- structure interaction computations are investigated. The solution procedure involves the finite volume flow solver FASTEST, the finite- element structural solver FEAP, and the coupling interface MpCCI. Within the employed partitioned solution approach, a geometric multigrid solution strategy on moving grids for the fluid domain is introduced. In particular, the order in which the convective fluxes have to be treated within the pressure- correction smoothing procedure is addressed. For reducing the coupling iteration steps an adaptive underrelaxaation algorithm is employed. Both acceleration techniques are investigated separately and in combination with respect to numerical efficiency. As test configuration a representative three-dimensional ullsteady coupled problem is considered.
References
C. Aikten. Studies in practical mathematics. II. the evaluation of the latent roots and latent vectors of a matrix. Royal Societiy of Edinburgh, 57:269 304, 1937. https://doi.org/10.1017/s0370164600013808
W. L. Briggs, V. E. Henson, and S. F. McCormick. A Multigrid Tutorial. SIAM, 2000.
I. Demirdzic and M. Peric ́. Space c onservation law in finite vohlme calculations of fluid flow. J. Num. Meth. in Fluids, pages 8:1037-1050, 1988. https://doi.org/10.1002/fld.1650080906
I. Demirdzic ́ and M. Peric ́. Finite volume method for prediction of fluid flow in arbitrary shaped domains with moving boundaries. J. Num. Meth. in Fluids, pages 10:771-790, 1990. https://doi.org/10.1002/fld.1650100705
Department of Numerical Methods in Mechanical Engineering, Technische Universität Darmstadt. FASTEST - User Manual, 2005.
Fraunhofer, SCAI. MpCCI - Mesh-Based Parallel Code Coupling Interface. User Guide V2.0, 2004.
W. Hackbusch. Iterative Lösung groer schwachbesetzer Matrizen. Teubner, Stuttgart, 1986.
B. Irons and R. nlck. A version of the aitken accelerator for computer iteration. International Journal of Numerical Methods in Engineering, 1:275- 27, 1969.
D. Mok. Partitionierte Lösungsansätze in der Strukturdynamik und der Fluid-Struktur-Interaktion. PhD thesis, Institut für Baustatik, Universität Stuttgart, 2001.
R. W. Ogden. Non-Linear Elastic Deformations. Dover Publications, 1997.
M. Schafer, M. Heck, and S. Yigit. An Implicit Partitioned Method for Numerical Simulation of Fluid- Structure Interaction, volume 53 (34595-7) of Lecture Notes in Computational Science and Engineering. Springer, Berlin, 2006. https://doi.org/10.1007/3-540-34596-5_8
M. Schäfer, S. Meynen, R. Sieber, and I. Teschauer. Efliciency of multigrid methods for the numerical simulation of coupled fluid-solid problems. Scientific Computing and Applications, Advances in Computation: Theory and Practice, pages 257-266, 2001.
R. Taylor. FEAP - A Finite Element Analysis Programm. Version 7.4 User Manual. University of California at Berkeley, 2002.
C. Truesdell and W. Noll. The Non-Linear Field Theories of Mechanics, Third Edition. Springer, 2004.
J. Vierendeels,. Implicit Coupling of Partitioned Fluid-Structure Interaction Solvers using Reduced-Order Models, volume 53 (34595-7) of Lecture Notes in Computational Science and Engineering. Springer, Berlin, 2006. https://doi.org/10.1007/3-540-34596-5_1
P. Wesseling. An Introduction to Multigrid Methods. R.T. Edwards, Inc., 2004.
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Copyright (c) 2007 S Yigit, D Sternel, M Schäfer
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