A numerical method for simulating nonlinear fluid-rigid structure interaction problems

Acta Mechanica Solida Sinica

Volumn 18, Issue 2, 2005, Pages 95-109

  Xing, J T ^a   Price, W G ^a   Chen, Y G ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

ALE description; Flow around bluff body; Fluid structure interaction; Nonlinear numerical analysis; Overset grids

Indexed keywords

BOUNDARY CONDITIONS; FLOW OF FLUIDS; MATHEMATICAL MODELS; PROBLEM SOLVING; VISCOSITY;

ALE DESCRIPTION; FLUID-STRUCTURE INTERACTION; NONLINEAR NUMERICAL NALYSIS;

COMPUTATIONAL METHODS;

EID: 32544443002     PISSN: 08949166     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10338-005-0514-3     Document Type: Article

References (46)

1. Bathe,K.J., Finite Element Procedures in Engineering Analysis, Prentice-Hall, 1982.
2. Zienkiewicz,O.C. and Taylor,R.L., The Finite Element Method, 4th ed., Vol.1, McGraw-Hill, 1989.
3. Zienkiewicz,O.C. and Taylor,R.L., The Finite Element Method, 4th ed., Vol.2, McGraw-Hill, 1991.
4. Hirsch,C., Numerical Computation of Internal and External Flows, Vol.1, John Wiley & Sons, 1988.
5. Hirsch,C., Numerical Computation of Internal and External Flows, Vol 2, John Wiley & Sons, 1990.
6. Anderson,J.D., Computational Fluid Dynamics, the Basics with Applications, McGraw-Hill, 1995.
7. Noh,W.F., CEL A time-dependent, two-space dimensional, coupled Eulerian-Lagrangian code, Methods in Computational Physics, (Alder, et al. eds,), Vol.3, 1964, 117, Academic Press.
8. Trulio,J.G., Theory and structure of the AFTON codes, Report ASWL-TR-66-19, Air Force Weapons Laboratory, 1966.
9. Hirt,C.W., Amsden,A.A. and Cook,J.L., An arbitrary Lagrangian-Eulerian computing method for all flow speeds, J. of Comp. Physics, Vol.14, 1974, 227-253.
10. Pracht,W.E., Calculating three-dimensional fluid flows at all speeds with an Eulerian-Lagrangian computing mesh, J. of Comp. Physics, Vol.17, 1975, 132-159.
11. Chan,R.K.-C., A generalized arbitrary Lagrangian-Eulerian method for incompressible flows with sharp interfaces, J. of Comp. Physics, Vol.17, 1975, 311-331.
12. Ramaswamy,B. and Kawahara,M., Arbitrary Lagrangian-Eulerian finite element method for the analysis of fluid flow with free surface, Proc. Int. Conf. Comp. Mech., Tokyo, 1986, VII103-108.
13. Ramaswamy,B. and Kawahara,M., Arbitrary Lagrangian-Eulerian finite element method for unsteady, convective, incompressible viscous free surface fluid flow, Int. J. Num. Meth. in Fluids, Vol.7, 1987, 1053-1075.
14. Floryan,J.M. and Rasmussen, Numerical methods for viscous flows with moving boundaries, A.M.R., Vol.42, No.12, 1989, 323-341.
15. Liu,Z. and Huang,Y., A new method for large amplitude sloshing problems, J. S. & Vib., Vol.175, No.2, 1994, 185-195.
16. Donea,J., Fasoli-Stella,P. and Giuliani,S., Lagrangian-Eulerian finite element techniques for transient fluid-structure interaction problems, Paper B1/2, Transactions of 4th SMIRT Conference, San Francisco, 1977.
17. Belytschko,T. and Kennedy,J.M., Computer models for subassembly simulation, Nuclear Eng. Design, Vol.49, 1978, 17-38.
18. Donea,J., Finite element analysis of transient dynamic fluid-structure interaction, Advanced Structural Dynamics, (Donea,J. ed.), Chapter 8, 255-290, Applied Science, 1980.
19. Donea,J., An arbitrary Lagrangian-Eulerian finite element method, Computational Methods for Transient Analysis, (Belytschko,T. and Hughes,T.J.R. eds), Chapter 10, 473-516, Elsevier, 1983.
20. Hughes,T.J.R., Liu,W.K. and Zimmermann,T.K., Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Comp. Meth. Appl. Mech. & Eng., Vol.29, 1981, 329-349.
21. Donea,J., Giuliani,S. and Halleux,J.P., An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions, Comp. Meth. Appl. Mech. & Eng., Vol.33, 1982, 689-723.
22. Belytschko,T., Flanagan,D.P. and Kennedy,J.M., Finite element methods with user-controlled meshes for fluid-structure interaction, Comp. Meth. Appl. Mech. & Eng., Vol.33, 1982, 669-688.
23. Ward,P., Desai,R., Kebede,W. and Ecer,A., A variational finite-element formulation for 3-dimensional incompressible flows, Num. Meth. Fluid Dyn, III, (Morton,K.W. and Baines,M.T. eds), Vol.46, 1988, 403-409, Oxford University.
24. Nitikitpaiboon,C. and Bathe,K.J., An arbitrary Lagrangian-Eulerian velocity potential formulation for fluid-structure interaction, Comp. & Struc., Vol.47, 1993, 871-891.
25. Bathe,K.J., Nitikitpaiboon,C. and Wang,X., A mixed displacement-based finite element formulation for acoustic fluid-structure interaction, Comp. & Struc., Vol.56, 1995, 225-237.
26. Kwak,D., Chang,J.L.C., Shanks,S.P. and Chakravarty,S.R., A three-dimensional incompressible Navier-Stokes flow solver using primitive variables, AIAA Journal, Vol.24, 1986, 390-396.
27. Baldwin,B.S. and Barth,T.J., A one-equation turbulence transport model for high Reynolds number wall-bounded flows, AIAA 91-0610, 1991.
28. Thompson,J.F., Bharat,K.S. and Weatherill,N.P. (ed.), Handbook of Grid Generation, New York: CRC Press, 1999.
29. Rogers,S.E. and Kwak,D., An upwind difference scheme for the incompressible Navier-Stokes equations, Appl. Num. Math., Vol.8, 1991, 43-64.
30. Anderson,W.K. and Bonhaus,D.L., An implicit upwind algorithm for computing turbulent flows on un-structured grids, Comp. & Fluids, Vol.23, 1994, 1-21.
31. Shen,Q.X., Cai,R.Q., Chen,Y.G. and Chen,Z.G., Solution of viscous flow around ships by using flux-difference splitting upwind difference scheme, J. Hydro., Vol.A11, 1996, 372-384.
32. Frink,N.T., Assessment of an unstructured grid method for predicting 3-D turbulent viscous flows, AIAA 96-0292, 1996.
33. Koomullil,R.P. and Soni,B.K., Flow simulation using generalized static and dynamic grids, AIAA Journal, Vol.37, 1999, 1551-1557
34. Xing,J.T., Price,W.G. and Chen,Y.G., A mixed finite element-finite difference method for nonlinear fluid-structure interaction dynamics, Part I: rigid structure-fluid interaction, Proc. R. Soc., Vol.A459, 2003, 2399-2430
35. Roe,P.L., Approximate Riemann solvers, parameter vectors and difference schemes, J. Comp. Phys, Vol.43, 1981, 357-372.
36. Kao,K.H., Liou,M.S. and Chow,C.Y., Grid adaptation using chimera composite overlapping meshes, AIAA J., Vol.32, 1994, 942-949.
37. Xing,J.T., Price,W.G. and Chen,Y.G., A numerical simulation of nonlinear fluid-rigid structure interaction problems, Proc. ASME Int. Mach. Eng. Cong. & Exp., Vol.3 (CD-ROM), Session AMD-12A, IMECE2002-32534, 2002, New Orleans, USA.
38. Baysal,O., Fouladi,K. and Lessard,V.R., Multigrid and upwind viscous flow solver on three-dimensional overlapped and embedded grids, AIAA J., Vol.29, 1991, 903-910.
39. Durao,D.F.G., Heitor,M.V. and Pereira,J.C.F., Measurements of turbulent and periodic flows around a square cross-section cylinder, Exp. in Fluids, Vol.6, 1988, 298-304.
40. Freitas,C.J. and Runnels,S.R., Simulation of fluid-structure interaction using patched-overset grids, J. F. Struc., Vol.13, 1999, 191-207.
41. Caughey,D.A., Implicit multigrid computation of unsteady flows past cylinders of square cross-section, Comp. & Fluids, Vol.30, 2001, 939-960.
42. Koobus,B., Farhat,C. and Tran,H., Computation of unsteady viscous flows around moving bodies using the k-ε turbulence model on unstructured dynamic grids, Computer Methods in Applied Mechanics and Engineering, Vol.190, 2000, 1441-1466.
43. Tamura,T. and Kuwahara,K., Numerical study of aerodynamic behavior of a square cylinder, J. Wind Eng. & Ind. Aero., Vol.33, 1990, 161-170.
44. Kondo,N. and Yamada,S., Third-order upwind finite element computation of the incompressible N-S equations, Part 2, Comp. Meth. Appl. Mech. & Eng., Vol.127, 1995, 99-113.
45. Okajima,A., Ueno,H. and Sakai,H., Numerical simulations of laminar and turbulent flows around a rectangular cylinder, Int. J. Num. Meth. in Fluids, Vol.15, 1992, 999-1012.
46. Franke,R. and Rodi,W., Calculation of vortex shedding past a square cylinder with various turbulence models, Proc 8-th Symp. Turb. Shear Flows, Technical University of Munich, 1991.