Dynamic boundary conditions in computational fluid dynamics

Computer Methods in Applied Mechanics and Engineering

Volumn 197, Issue 13-16, 2008, Pages 1219-1232

  Storti, Mario A ^a   Nigro, Norberto M ^a   Paz, Rodrigo R ^a   Dalcín, Lisandro D ^a  

^a Centro Regional de Investigacion y Desarrollo de Santa Fe   (Argentina)

Author keywords

Absorbing boundary conditions; Computational fluid dynamics; Finite elements

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

ABSORBING BOUNDARY CONDITIONS; DYNAMIC BOUNDARY CONDITIONS; INVISCID FLOWS;

COMPUTATIONAL FLUID DYNAMICS;

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

EID: 38349049198     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.10.014     Document Type: Article

References (26)

1. Givoli D., and Keller J.B. Non-reflecting boundary conditions for elastic waves. Wave Motion 12 (1990) 261-279
2. Givoli D., and Keller J.B. A finite element method for large domains. Comput. Methods Appl. Mech. Engrg. 76 (1989) 41-66
3. Broeze J., and Romate J.E. Absorbing boundary conditions for free surface wave simulations with a panel method. J. Comput. Phys. 99 (1992) 146
4. Harari I., and Hughes T.J.R. Galerkin least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains. Comput. Methods Appl. Mech. Engrg. 98 (1992) 411-454
5. Storti M., D'Elía J., and Idelsohn S. Algebraic discrete non-local (dnl) absorbing boundary condition for the ship wave resistance problem. J. Comput. Phys. 146 (1997) 570-602
6. Hagstrom T. Boundary conditions at outflow for a problem with transport and diffusion. J. Comput. Phys. 69 (1987) 69-80
7. Storti M., D'Elia J., Bonet R., Nigro N., and Idelsohn S. The DNL absorbing boundary condition. Applications to wave problems. Comput. Methods Appl. Mech. Engrg. 182 3-4 (2000) 483-498
8. Tsynkov S.V. Numerical solution of problems on unbounded domains. A review. Appl. Numer. Math. 27 (1998) 465-532
9. T.E. Tezduyar, T.J.R. Hughes, Finite element formulations for convection dominated flows with particular emphasis on the compressible euler equations, in: Proceedings of AIAA 21st Aerospace Sciences Meeting, Reno, Nevada, AIAA Paper 83-0125, 1983.
10. Hughes T.J.R., and Tezduyar T.E. Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible euler equations. Comput. Methods Appl. Mech. Engrg. 45 (1984) 217-284
11. Tezduyar T.E. Finite Element Methods for Fluid Dynamics with Moving Boundaries and Interfaces. Encyclopedia of Computational Mechanics vol. 3 (2004), John Wiley and Sons
12. Tezduyar T.E. Finite elements in fluids: stabilized formulations and moving boundaries and interfaces. Comput. Fluids 36 (2007) 191-206
13. Aliabadi S.K., Ray S.E., and Tezduyar T.E. SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations. Comput. Mech. 11 (1993) 300-312
14. Le Beau G.J., Ray S.E., Aliabadi S.K., and Tezduyar T.E. Supg finite element computation of compressible flows with the entropy and conservation variables formulations. Comput. Methods Appl. Mech. Engrg. 104 (1993) 397-422
15. Tezduyar T.E., and Senga M. Stabilization and shock-capturing parameters in supg formulation of compressible flows. Comput. Methods Appl. Mech. Engrg. 195 (2006) 1621-1632
16. Baumann C., Storti M., and Idelsohn S. Improving the convergence rate of the Petrov-Galerkin techniques for the solution of transonic and supersonic flows. Int. J. Numer. Methods Engrg. 34 (1992) 543-568
17. Sanders B.F. High-resolution and non-oscillatory solution of the st. Venant equations in non-rectangular and non-prismatic channels. J. Hydraul. Res. 39 3 (2001) 321-330
18. Field S., Klaus M., Moore M., and Nori F. Instabilities and chaos in falling objects. Nature 388 (1997) 252-254
19. Belmonte A. Flutter and Tumble in Fluids (1999), Physics World
20. J.Y. Huang, Trajectory of a moving curveball in viscid flow, in: Proceedings of the Third International Conference: Dynamical Systems and Differential Equations, 2000, pp. 191-198.
21. Huang J.Y. Moving Coordinates Methods and Applications to the Oscillations of a Falling Slender Body. Moving Boundaries VI (2001), WIT Press pp. 73-82
22. Huang J.Y. Aerodynamics of a Moving Curveball in Newtonian Flow. Advances in Fluid Mechanics IV (2002), WIT Press pp. 597-608
23. Piperno R., and Farhat C. Partitioned procedures for the transient solution of coupled aeroelastic problems. Part II: energy transfer analysis and three-dimensional applications. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3147-3170
24. J. Cebral, Loose Coupling Algorithms for fluid structure interaction, Ph.D. Thesis, Institute for Computational Sciences and Informatics, George Mason University, 1996.
25. R. Löhner, C. Yang, J. Cebral, J. Baum, H. Luo, D. Pelessone, C. Charman, Fluid-structure interaction using a loose coupling algorithm and adaptive unstructured grids, AIAA paper AIAA-98-2419, 1998.
26. R. Lohner, J.R. Cebral, Fluid-structure interaction in industry: issues and outlook, in: Proceedings of the World User Association in Applied Computational Fluid Dynamics, 3rd World Conference in Applied Computational Fluid Dynamics, Germany, May 19-23, 1996.