An adaptive spectral element method for two-fluid flows

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

Volumn 257, Issue 2 A, 2002, Pages 439-446

  Helenbrook, Brian T ^a   Baker, Timothy J ^b  

^a Clarkson University   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT SOLVER; INTERFACE DEFORMATION; SPECTRAL ELEMENT METHOD; TWO FLUID FLOWS;

COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); LAGRANGE MULTIPLIERS; PARTICLE SIZE ANALYSIS; PLASTIC DEFORMATION;

FLOW OF FLUIDS;

EID: 0036439718     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/FEDSM2002-31227     Document Type: Conference Paper

References (16)

1. B. T. Helenbrook, A two-fluid spectral element method, Comp. Meth. Appl. Mech. Eng. 191 (2001) 273-294.
2. B. T. Helenbrook, C.F. Edwards, Quasi-steady deformation and drag of uncontaminated liquid drops, Int. J. Multi-Phase Flows. submitted for publication.
3. S. O. Unverdi, G. Tryggvason, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comput. Phys. 100 (1992) 25-37.
4. M. Sussman, P. Smereka, S. Osher. A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys. 114 (1994) 146-159.
5. H. H. Hu, M. J. Crochet, D. D. Joseph, Direct simulation of fluid particle motion. Theor. Comput. Fluid. Dyn. 3 (1992) 285.
6. A. A. Johnson, T. E. Tezduyar, Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces, Comput. Methods Appl. Mech. Engrg. 119 (1994) 73-94.
7. T. J. Baker, Mesh modification for solution adaptation and time evolving domains, in: 7th International Conference on Numerical Grid Generation in Computational Field Simulations, 2000.
8. B. T. Helenbrook, Mesh deformation using the biharmonic operator, Int. J. Num. Meth. Eng. accepted for publication.
9. M. Dubiner, Spectral methods on triangles and other domains, J. Sci. Comput. 6 (4) (1991) 345-390.
10. S. J. Sherwin, G. E. Karniadakis. A triangular spectral element method: applications to the incompressible Navier-Stokes equations, Comp. Meth. App. Mech. Eng. 123 (1995) 189-229.
11. R. Löhner, C. Yang, Improved ALE mesh velocities for moving boundaries, Comm. Num. Meth. Eng. 12 (1996) 599-608.
12. V. Venkatakrishnan, D. J. Mavriplis, Implicit method for the computation of unsteady flows on unstructured grids, AIAA 95-1705
13. O. Hassan, E. J. Probert, K. Morgan, Unstructured mesh procedures for the simulation of three dimensional transient compressible inviscid flows with moving boundary components, Int. J. Num. Meth. Fluids 27 (1998) 41-55.
14. C. L. Lawson, Transforming triangulations, Discrete Math 3 (1972) 365-372.
15. T. J. Baker, Triangulations, mesh generation, and point placement strategies. in: D. A. Caughey, M. N. Hafez (Eds.), Frontiers of Computational Fluid Dynamics, J. Wiley and Sons, 1994.
16. T. J. Baker, Automatic mesh generation for complex three-dimensional regions using a constrained delaunay triangulation, Eng. with Comp. 5 (1989) 161-175.