Methods for computation of moving boundaries and interfaces

ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

Volumn , Issue , 2004, Pages

  Tezduyar, Tayfun E ^a  

^a Rice University   (United States)

Author keywords

Enhanced discretization and solution; Interface capturing; Interface tracking; Moving boundaries and interfaces

Indexed keywords

ADVECTION EQUATIONS; DISCRETIZATIONS; FINITE ELEMENT COMPUTATIONS; INTERFACE FUNCTIONS; INTERFACE-CAPTURING; INTERFACE-TRACKING; MOVING BOUNDARIES AND INTERFACES; STABILIZED FORMULATION;

ADVECTION;

COMPUTATIONAL METHODS;

EID: 84893459892     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. T.E. Tezduyar, "Stabilized finite element formulations for incompressible flow computations,", Advances in Applied Mechanics, 28 (1991) 1-44.
2. T.E. Tczduyar, "Finite element methods for flow problems with moving boundaries and interfaces,", Archives of Computational Methods in Engineering, 8 (2001) 83-130.
3. T. Tezduyar, "Interface-tracking and interface-capturing techniques for computation of moving boundaries and interfaces,", in Proceedings of the Fifth World Congress on Computational Mechanics, On-line publication: http://wccm.tuwien.ac.at/, Paper-ID: 8I5I3, Vienna, Austria, (2002).
4. T.E. Tezduyar, "Finite element methods for fluid dynamics with moving boundaries and interfaces,", to appear in Encyclopedia of Computational Mechanics, 2004.
5. T.J.R. Hughes and A.N. Brooks, "A multi-dimensional upwind scheme with no cross-wind diffusion,", in T.J.R. Hughes, editor, Finite Flement Methods for Convection Dominated Flows, AMD-Vol.34, 19-35, ASME, New York, 1979.
6. T.E. Tezduyar and 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, AIAA Paper 83-0125, Reno, Nevada, (1983).
7. T.J.R. Hughes, L.P. Franca, and M. Balestra, "A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations", Computer Methods in Applied Mechanics and Engineering, 59 (1986) 85-99.
8. T.E. Tezduyar, M. Behr, S. Mittal, and A.A. Johnson, "Computation of unsteady incompressible flows with the finite element methods - space-time formulations, iterative strategies and massively parallel implementations, ", in New Methods in Transient Analysis, PVP-Vol.246/AMD-Vol.143, ASME, New York, (1992) 7-24.
9. T.J.R. Hughes and G.M. Hulbert, "Space-time finite element methods for elastody-namics: formulations and error estimates,", Computer Methods in Applied Mechanics and Engineering, 66 (1988) 339-363.
10. T.E. Tezduyar and Y. Osawa, "Finite element stabilization parameters computed from element matrices and vectors,", Computer Methods in Applied Mechanics and Engineering, 190 (2000) 411-430.
11. T.E. Tezduyar, "Computation of moving boundaries and interfaces and stabilization parameters,", International Journal for Numerical Methods in Fluids, 43 (2003) 555-575.
12. T. Tezduyar, S. Xliabadi, and M. Bchr, "Enhanccd-Discrctization Interface-Capturing Technique (EDICT) for computation of unsteady flows with interfaces,", Computer Methods in Applied Mechanics and Engineering, 155 (1998) 235-248.
13. C. W. Hirt and B. D. Nichols, "Volume of fluid (VOF) method for the dynamics of free boundaries,", Journal of Computational Physics, 39 (1981) 201-225.
14. H.J.C. Barbosa and T.J.R. Hughes, "The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuska-Brezzi condition,", Computer-Methods in Applied Mechanics and Engineering, 85 (1991) 109-128.
15. H.J.C. Barbosa and T.J.R. Hughes, "Circumventing the Babuska-Brezzi condition in mixed finite element approximations of elliptic variational inequalities,", Computer Methods in Applied Mechanics and Engineering, 97 (1992) 193-210.
16. T.E. Tezduyar, "Interface-tracking, interface-capturing and enhanced solution techniques,", in Proceedings of the Pirst South-American Congress on Computational Mechanics (CD-ROM), Santa Fe-Parana, Argentina, (2002).
17. Y. Saad and M. Schultz, "GMRES: X generalized minimal residual algorithm for solving nonsymmetric linear systems,", SIAM Journal of Scientific and Statistical Computing, 7 (1986) 856-869.