Three Dimensional Vortex Methods for the Analysis of Wave Propagation on Vortex Filaments [Thesis]
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Three-dimensional vortex filament methods for unbounded, unsteady, inviscid, incompressible flow and a vortex tube stretching simulation with the vortex filament methods are studied in this thesis. We try to understand vortex tube stretching from the study of wave propagation along a vortex tube by the self-induced velocity. Vortex filament methods are a proper numerical tool for this study. Therefore, we will focus our attention on vortex filament methods. The effects of numerical parameters, the choices of core functions, and numerical methods for solving the time evolution ordinary differential equation on accuracy and stability of the vortex filament methods are investigated in order to distinguish physical vortex stretching from the stretching caused by numerical instability. We also examine the conserved quantities such as kinetic energy, linear impulse, and total vorticity for various numerical parameters, core functions, and time integration methods.
- Research Organization:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 5835561
- Report Number(s):
- LBL--30487; ON: DE91011868
- Country of Publication:
- United States
- Language:
- English
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