Non-linear axisymmetric potential flow boundary model for...

Data processing: structural design – modeling – simulation – and em – Simulating nonelectrical device or system – Fluid

Reexamination Certificate

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C703S001000, C703S002000, C703S008000, C703S006000, C440S113000

Reexamination Certificate

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06865523

ABSTRACT:
A method for calculating parameters about an axisymmetric body in a cavity is provided. The user provides data describing the body, a cavity estimate, and convergence tolerances. Boundary element panels are distributed along the body and the estimated cavity. Matrices are initialized for each panel using disturbance potentials and boundary values. Disturbance potential matrices are formulated for each panel using disturbance potential equations and boundary conditions. The initialized matrices and the formulated matrices are solved for each boundary panel to obtain panel sources, dipoles and cavitation numbers. Forces and velocities are computed giving velocity and drag components. The cavity shape is updated by moving each panel in accordance with the calculated values. The method then tests for convergence against a tolerance, and iterates until convergence is achieved. Upon completion, parameters of interest and the cavity shape are provided. This invention also allows determiniation of cavity shape for a cavitation number.

REFERENCES:
patent: 5024396 (1991-06-01), Guevel et al.
patent: 5717657 (1998-02-01), Ruffa
Leger et al, “Examination of the Flow Near the Leading Edge and Closure of Stable Attached Cavitation,” 21stSymposium on Naval Hydrodynamics, pp. 783-793 (1997), available at: http:/www.nap.edu/openbook/0309058791/html/783.html.*
Chahine, “Numerical Simulation of Cavitation Dynamics,” Proccedings of the 2ndLAAS Conference on Computer Simulation, pp. 1-9 (Sep. 1997), available at: http://www.dynaflow-inc.com/Reports/NumSimofCavDynam_1997.PDF.*
Paster, “Importance of Hydrodynamic Considerations for Underwater Vehicle Design,” Oceans, vol. 18, pp. 1413-1422 (Sep. 1986).*
Brennen, “Cavitation and Other Free Surface Phenomena,” Ph.D. Thesis, Oxford University (Sep. 1966), available at: http://resolver.caltech.edu/Caltech/AUTHORS:BREou66.

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