An arbitrary Lagrangian-Eulerian approach to solving the quantum hydrodynamic equations of motion: Equidistribution with "smart" springs

Journal of Chemical Physics

Volumn 118, Issue 11, 2003, Pages 4784-4790

  Trahan, Corey J ^a   Wyatt, Robert E ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; PROBABILITY DENSITY FUNCTION; STIFFNESS MATRIX; VELOCITY;

ARBITRARY LAGRANGIAN-EULERIAN METHOD; QUANTUM HYDRODYNAMIC EQUATIONS OF MOTION; QUANTUM TRAJECTORY METHOD; SMART SPRINGS;

QUANTUM THEORY;

EID: 0037444697     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1553468     Document Type: Article

References (40)

1. R. E. Wyatt, Chem. Phys. Lett. 313, 189 (1999).
2. R. E. Wyatt, J. Chem. Phys. 111, 4406 (1999).
3. C. Lopreore and R. E. Wyatt, Phys. Rev. Lett. 82, 5190 (1999).
4. C. Lopreore and R. E. Wyatt, Chem. Phys. Lett. 325, 73 (2000).
5. R. W. Wyatt and E. Bitner, J. Chem. Phys. 113, 8898 (2000).
6. E. R. Bittner and R. E. Wyatt, J. Chem. Phys. 113, 8888 (2000).
7. R. E. Wyatt, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 112, 10730 (2000).
8. E. Bittner, J. Chem. Phys. 112, 9703 (2000).
9. C. Lopreore and R. E. Wyatt, J. Chem. Phys. 114, 5113 (2001).
10. C. Lopreore and R. E. Wyatt, J. Chem. Phys. 116, 1228 (2001).
11. R. E. Wyatt, and K. Na, Phys. Rev. E 65, 016702 (2001).
12. R. E. Wyatt, C. L. Lopreore, and G. Parlant, J. Chem. Phys. 114, 5113 (2001).
13. K. Na and R. E. Wyatt, Phys. Lett. A (to be published).
14. C. Trahan and R. E. Wyatt, J. Comput. Phys. (to be published).
15. F. Sales Mayor, A. Askar, and H. A. Rabitz, J. Chem. Phys. 111, 2423 (1999).
16. V. E. Madelung, Z. Phys. 40, 322 (1926).
17. L. de Broglie, C. R. Acad. Sci. Paris. 183, 447 (1926).
18. D. Bohm, Phys. Rev. 85, 166 (1952)
19. D. Bohm, Phys. Rev. 85, 180 (1952).
20. D. Bohm and B. J. Hiley, The Undivided Universe: An Ontological Interpretation of Quantum Theory (Routledge, London, 1993).
21. P. R. Holland, The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge University Press, New York, 1993).
22. H. Braess and P. Wriggers, Comput. Methods Appl. Mech. Eng. 190, 95 (2000).
23. T. Belytschko and D. Flanagan, Comput. Methods Appl. Mech. Eng. 33, 669 (1982).
24. J. Donea, S. Giuliani, and J. P. Halleux, Comput. Methods Appl. Mech. Eng. 33, 689 (1982).
25. C. Hirt, A. Amsden, and J. Cook, J. Comput. Phys. 14, 227 (1974).
26. T. Hughes and W. K. Liu, Comput. Methods Appl. Mech. Eng. 29, 329 (1981).
27. C. Farhat, C. Degand, B. Koobus, and M. Lesoinne, Comput. Methods Appl. Mech. Eng. 163, 231 (1998).
28. D. Kershaw, M. Prasad, M. Shaw, and J. Milovich, Comput. Methods Appl. Mech. Eng. 158, 81 (1998).
29. J. Koo and E. Fahrenthold, Comput. Methods Appl. Mech. Eng. 189, 875 (2000).
30. W. K. Lui, H. Chang, J. S. Chen, and T. Belytschko, Comput. Methods Appl. Mech. Eng. 68, 259 (1988).
31. T. Nomura and T. Hughes, Comput. Methods Appl. Mech. Eng. 95, 115 (1992).
32. K. Hughes, Chem. Phys. Lett. (to be published).
33. R. E. Wyatt, J. Chem. Phys. (to be published).
34. B. Palmerio, Comput. Fluids 23, 487 (1994).
35. C. Degand and C. Farhat, Comput. Struct. 80, 305 (2002).
36. C. Farhat, M. Lesoinne, and N. Maman, Int. J. Numer. Methods Fluids 21, 807 (1995).
37. P. A. Gnoffo, AIAA J. 21, 1249 (1983).
38. K. Nakahashi and G. Diewert, AIAA J. 25, 948 (1986).
39. B. Palmeiro, Comput. Methods Appl. Mech. Eng. 71, 315 (1988).
40. K. P. Singh, J. C. Newman and O. Baysal, AIAA J. 33, 641 (1995).