A meshfree method for simulations of interactions between fluids and flexible structures

Lecture Notes in Computational Science and Engineering

Volumn 57, Issue , 2007, Pages 249-264

  Tiwari, Sudarshan ^a   Antonov, Sergey ^a   Hietel, Dietmar ^a   Kuhnert, Jörg ^a   Olawsky, Ferdin ^a   Wegener, Raimund ^a  

^a FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

Dynamical coupling; Fluid structure interaction; FPM; Meshfree method; Sheet of paper

Indexed keywords

DYNAMICAL COUPLING; EXTERNAL FORCE; FPM; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; KIRCHHOFF-LOVE THEORY; LAGRANGIAN PARTICLE METHOD; MESH-FREE METHOD; PRESSURE DIFFERENCES;

FLEXIBLE STRUCTURES; FLUID STRUCTURE INTERACTION; NAVIER STOKES EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

COMPUTATIONAL MECHANICS;

EID: 50249178758     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-46222-4_15     Document Type: Article

References (11)

1. S. S. Antman, Nonlinear Problems of Elasticity, Springer Verlag, New York, 1995.
2. F. P. T. Baaijens, A fictious domain/mortar element method for fluid-structure interaction, Int. J. Numer. Meth. Fluids, 35 (2001), 743-761.
3. A. Chorin, Numerical solution of the Navier-Stokes equations, J. Math. Comput., 22 (1968), 745-762.
4. D. Hietel, M. Junk, J. Kuhnert and S. Tiwari, Meshless methods for Conservation Laws, (G. Warnecke, eds.), Analysis and Numerics for Conservation Laws, Springer, 2005, pp. 339-362.
5. O. Iliev and S. Tiwari, A generalized (meshfree) finite difference discretization for elliptic interface problems, (I. Dimov, I. Lirkov, S. Margenov, and Z. Zlatev, eds.), Numerical Methods and Applications, Lecture notes in Computer Sciences, Springer 2002, pp. 480-489.
6. N. Marheineke and R. Wegener, Fiber Dynamics in Turbulent Flows, Berichte des Fraunhofer ITWM, Nr. 81 (2005), Kaiserslautern, Germany.
7. T. Liszka and J. Orkisz, The finite difference method on arbitrary irregular grid and its application in applied mechanics Computers & Structures, 11 (1980), pp. 83-95.
8. S. Tiwari and J. Kuhnert, Finite pointset method based on the projection method for simulations of the incompressible Navier-Stokes equations, (M. Griebel and M. A. Schweitzer, eds.), Lecture Notes in Computational Science and Engineering, vol. 26, Springer, 2002, pp. 373-387.
9. S. Tiwari and J. Kuhnert, Grid free method for solving Poisson equation, Wavelet Analysis and Applications, New Age International Publishers, 2004, pp. 151-166.
10. S. Tiwari and J. Kuhnert, A numerical scheme for solving incompressible and low Mach number flows by Finite Pointset Method, (M. Griebel and M. A. Schweitzer, eds.), Lecture Notes in Computational Science and Engineering, vol. 43, Springer, 2005, pp. 191-206.
11. N. Yamaguchi, K. Yokota and Y. Tsujimoto, Flutter Limits and Behaviours of a Flexible Thin Sheet in High-Speed Flow I: Analytical Method for Prediction of the Sheet Behaviour, J. Fluids Eng., 122 (2000), pp. 65-73.