A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow

Journal of Computational Physics

Volumn 172, Issue 2, 2001, Pages 879-907

  Lindsay, Keith ^a   Krasny, Robert ^b  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Adaptive treecode; Particle method; Three dimensional flow; Vortex ring

Indexed keywords

VORTEX FLOW;

A-PARTICLES; ADAPTIVE TREECODE; PARTICLE METHODS; PARTICLE VELOCITIES; SINGULAR KERNEL; TAYLOR APPROXIMATION; THREE-DIMENSIONAL FLOW; TREECODE; VORTEX RINGS; VORTEX SHEET;

APPROXIMATION ALGORITHMS;

EID: 0035922241     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6862     Document Type: Article

References (76)

1. Computing three-dimensional incompressible flows with vortex elements
2. Vortex methods: An introduction and survey of selected research topics
3. Three-dimensional vortex dynamics simulations
4. The formation of vortices from a surface of discontinuity
5. On the point vortex method
6. The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
7. Analytic structure of vortex sheet dynamics. 1. Kelvin-Helmholtz instability
8. A study of singularity formation in a vortex sheet by the point-vortex approximation
9. A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
10. Discretization of a vortex sheet, with an example of roll-up
11. A vortex method for flows with slight density variations
12. Desingularization of periodic vortex sheet roll-up
13. Three-dimensional shear layers via vortex dynamics
14. Dynamics of vortex surfaces in three dimensions: Theory and simulations
15. Regularized vortex sheet evolution in three dimensions
16. Theoretical and computational aspects of the self-induced motion of three-dimensional vortex sheets
17. Computation of vortex sheet roll-up in the Trefftz plane
18. The spread of vorticity in the wake behind a cylinder
19. Finite amplitude waves on aircraft trailing vortices
20. Three-dimensional vortex simulation of rollup and entrainment in a shear layer
21. Application of fast parallel and sequential tree codes to computing three-dimensional flows with the vortex element method and boundary element methods
22. Fast algorithms for classical physics
23. Fine structure of vortex sheet rollup by viscous and inviscid simulation
24. An Eulerian approach for vortex motion using a level set regularization procedure
25. An efficient program for many-body simulation
26. A hierarchical O (N log N) force-calculation algorithm
27. A fast algorithm for particle simulations
28. A fast adaptive multipole algorithm for particle simulations
29. Fast, adaptive summation of point forces in the two-dimensional Poisson equation
30. An implementation of the fast multipole method without multipoles
31. The very fast multipole method
32. Skeletons from the treecode closet
33. Fast Fourier transform accelerated multipole algorithm
34. A pragmatic overview of fast multipole methods
35. A fast adaptive multipole algorithm in three dimensions
36. On the Rokhlin-Greengard method with vortex blobs for problems posed in all space or periodic in one direction
37. A fast algorithm for vortex blob interactions
38. An application of Draghicescu's fast summation method to vortex sheet motion
39. A Three-Dimensional Cartesian Tree-Code and Applications to Vortex Sheet Roll-Up
40. Numerical Computation of a Three-Dimensional Vortex Sheet in a Swirl Flow
41. Mathematical analysis of vortex dynamics
42. A representation of the motion of a vortex sheet in a three-dimensional flow
43. Lagrangian theory for 3D vortex sheets with axial or helical symmetry
44. The onset of chaos in vortex sheet flow
45. Construction and validation of a discrete vortex method for the two-dimensional incompressible Navier-Stokes equations
46. Vortex rings
47. Vortex rings
48. A numerical study of vortex ring formation at the edge of a circular tube
49. Numerical study of a three-dimensional vortex method
50. A numerical study of three-dimensional vortex ring instabilities; Viscous corrections and early nonlinear stage
51. Hairpin removal in vortex interactions
52. Hairpin removal in vortex interactions II
53. Motion of distorted vortex rings
54. Colliding vortex rings
55. Interaction of two vortex rings along parallel axes in air
56. Cross-linking of two vortex rings
57. An experimental study of a vortex ring interacting with an inclined wall
58. Vortex reconnection
59. Numerical study of vortex reconnection
60. The vortex ring merger problem at infinite Reynolds number
61. Three-dimensional interactions of vortex tubes
62. Linking of vortex rings
63. Collision of two vortex rings
64. Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows
65. A fast adaptive vortex method in three dimensions
66. Modification of the Euler equations for "vorticity confinement": Application to the computation of interacting vortex rings
67. An Ewald summation based multipole method
68. An adaptive treecode for computing nonbonded potential energy in classical molecular systems
69. Treecode algorithms for computing nonbonded particle interactions