## A Meshfree Method for Simulations of Interactions between Fluids and Flexible Structures

• We present the application of a meshfree method for simulations of interaction between fluids and flexible structures. As a flexible structure we consider a sheet of paper. In a two-dimensional framework this sheet can be modeled as curve by the dynamical Kirchhoff-Love theory. The external forces taken into account are gravitation and the pressure difference between upper and lower surface of the sheet. This pressure difference is computed using the Finite Pointset Method (FPM) for the incompressible Navier-Stokes equations. FPM is a meshfree, Lagrangian particle method. The dynamics of the sheet are computed by a finite difference method. We show the suitability of the meshfree method for simulations of fluid-structure interaction in several applications.

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Author: S. Tiwari, S. Antonov, D. Hietel, J. Kuhnert, R. Wegener urn:nbn:de:hbz:386-kluedo-14263 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (88) Report English 2006 2006 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik Fraunhofer ITWM 2006/05/31 Dynamical Coupling; FPM; Fluid Structure Interaction; Meshfree Method; Sheet ofPaperDynamical Coupling; FPM; Fluid Structure Interaction; Meshfree Method; Sheet ofPaper Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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