The Dynamics of an Elastic Membrane Using the Impulse Method

Journal of Computational Physics

Volumn 138, Issue 1, 1997, Pages 224-247

  Cortez, R ^a   Varela, D A ^b  

^a NEW YORK UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FOURIER ANALYSIS; FOURIER SERIES; NONLINEAR EQUATIONS; NUMERICAL METHODS;

ELASTIC MEMBRANES; EQUATION OF MOTION; EXACT SOLUTION; FOURIER COEFFICIENTS; IMPULSE METHODS; INCOMPRESSIBLE INVISCID FLUIDS; LEADING ORDERS; SMALL AMPLITUDE PERTURBATIONS; TWO-DIMENSIONS; VALIDATION STUDY;

NONLINEAR ANALYSIS;

EID: 0001242774     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5842     Document Type: Article

References (21)

1. Anderson C., Greengard C. SIAM J. Numer. Anal. 22:1985;413.
2. Arscott F. M. Periodic Differential Equations. 1964;Pergamon, Oxford.
3. Beale J. T., Majda A. J. J. Comput. Phys. 58:1985;188.
4. Buttke T. F. Velocity methods: Lagrangian numerical methods which preserve the Hamiltonian structure of incompressible fluid flow. Vortex Flows and Related Numerical Methods. NATO ASI Series C. 395:1993;Kluwer Academic, Amsterdam. p. 39-.
5. Byrd P. F., Friedman M. D. Handbook of Elliptic Integrals for Engineers and Scientists. 1971;Springer-Verlag, New York.
6. Chang Y. C., Hou T. Y., Merriman B., Osher S. J. Comput. Phys. 124:1996;449.
7. Chorin A. J. Vortex methods. Les Houches Summer School of Theoretical Physics. 1993;Les Houches.
8. Chorin A. J., Marsden J. E. A Mathematical Introduction to Fluid Mechanics. 1979;Springer-Verlag, New York.
9. Cortez R. J. Comput. Phys. 123:1996;341.
10. Fauci L. J. J. Comput. Phys. 86:1990;294.
11. Fauci L. J., McDonald A. Bull. Math. Biol. 57:1995;679.
12. Hald O. H. Convergence of vortex methods. Gustafson K. E., Sethian J. A. Vortex Methods and Vortex Motion. 1991;SIAM, Philadelphia.
13. Ince E. L. Proc. Roy. Soc. Edinburgh. 60:1939;47.
14. McCracken M. F., Peskin C. S. J. Comput. Phys. 35:1980;183.
15. Nayfeh A. H. Perturbation Methods. 1973;Wiley and Sons, New York.
16. H. O. Nordmark, 1988, University of California, Berkeley.
17. C. S. Peskin, 1975, Mathematical aspects of heart physiology, Lecture notes, Courant Institute of Mathematical Sciences.
18. Peskin C. S., McQueen D. M. J. Comput. Phys. 81:1989;372.
19. Puckett E. G. A review of vortex methods. Nicolaides R., Ginzburger M. Incompressible computational fluid mechanics. 1993;Cambridge Univ. Press, Cambridge.
20. Whitham G. B. Linear and Nonlinear Waves. 1974;Wiley, New York.
21. Williams J. E. F., Gou Y. J. Fluid Mech. 224:1991;507.