An impulse-based approximation of fluid motion due to boundary forces

Journal of Computational Physics

Volumn 123, Issue 2, 1996, Pages 341-353

  Cortez, Ricardo ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS;

ELASTIC MEMBRANES; FLUID MOTIONS; INCOMPRESSIBLE INVISCID FLUIDS; LAGRANGIAN NUMERICAL METHOD;

VORTEX FLOW;

EID: 0030076190     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0028     Document Type: Article

References (26)

1. 1. C. Anderson and C. Greengard, SIAM J. Numer. Anal. 22, 413 (1985).
2. 2. G. R. Baker, J. Fluid Mech. 100, 209 (1980).
3. 3. G. R. Baker, D. I. Meiron, and S. A. Orszag, J. Fluid Mech. 123, 477 (1982).
4. 4. G. R. Baker, D. I. Meiron, and S. A. Orszag, J. Sci. Comput. 4, 237 (1989).
5. 5. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Univ. Press, New York, 1967).
6. 6. J. T. Beale and A. J. Majda, J. Comput. Phys. 58, 188 (1985).
7. 7. T. F. Buttke, "Velicity Methods: Lagrangian Numerical Methods Which Preserve the Hamiltonian Structure of Incompressible Fluid Flow," in Vortex Flows and Related Numerical Methods, edited by J. T. Beale, G.-H. Cottet, and S. Huberson, NATO ASI Series C, Vol. 395 (Kluwer Academic, Dordrecht, 1993).
8. 8. T. F. Buttke and A. J. Chorin, Appl. Numer. Math. 12, 47 (1993).
9. 9. A. J. Chorin, Vortex Methods, Les Houches Summer School of Theoretical Physics, Les Houches, France, 1993 (unpublished).
10. 10. A. J. Chorin, Vorticity and Turbulence (Springer-Verlag, New York, 1994).
11. 11. A. J. Chorin and J. E. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer-Verlag, New York, 1979).
12. 12. R. Cortez, Ph.D. thesis, University of California, Berkeley, 1995 (unpublished).
13. 13. O. H. Hald, "Convergence of Vortex Methods," in Vortex Methods and Vortex Motion edited by K. E. Gustafson and J. A. Sethian (SIAM, Philadelphia, 1991).
14. 14. J. J. L. Higdon and C. Pozrikidis, J. Fluid Mech. 150, 203 (1985).
15. 15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
16. 16. R. Krasny, "Computation of Vortex Sheet Roll-up," in Vortex Methods, edited by C. Anderson and C. Greengard (Springer-Verlag, New York/Berlin, 1987).
17. 17. P. Luchini, AIAA J. 29, 474 (1991).
18. 18. J. H. Maddocks and R. L. Pego, to appear, 1994.
19. 19. M. F. McCracken and C. S. Peskin, J. Comput. Phys. 35, 183 (1980).
20. 20. R. Mendez, Ph.D. thesis, University of California, Berkeley, 1978 (unpublished).
21. 21. V. I. Oseledets, Commun. Moscow Math. Soc. 44, 210 (1989).
22. 22. C. S. Peskin, Mathematical Aspects of Heart Physiology, Lecture notes, Courant Institute of Mathematical Sciences, 1975 (unpublished).
23. 23. E. G. Puckett, "A Review of Vortex Methods," in Incompressible Computational Fluid Mechanics, edited by R. Nicolaides and M. Ginzburger (Cambridge Univ. Press, Cambridge, 1992).
24. 24. D. I. Pullin, J. Fluid Mech. 119, 507 (1982).
25. 25. P. H. Roberts, Mathematica 19, 169 (1972).
26. 26. P. Rouhi, manuscript, 1990 (unpublished).