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A Broyden numerical Kutta condition for an unsteady panel method

Lookup NU author(s): Professor Pengfei LiuORCiD


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In panel methods, numerical Kutta conditions are applied in order to ensure that pressure differences between the surfaces at the trailing edges of lifting surface elements are close to zero. Previous numerical Kutta conditions for 3-D panel methods have focused on use of the Newton-Raphson iterative procedure. For extreme unsteady motions, such as for oscillating hydrofoils or for a propeller behind a blockage, the Newton-Raphson procedure can have severe convergence difficulties. The Broyden iteration, a modified Newton-Raphson iteration procedure, is applied here to obtain improved convergence behavior. Using the Broyden iteration increases the reliability, robustness and in many cases computing efficiency for unsteady, multi-body interactive flows. This method was tested in a time domain code for an ice class propeller in both open water flow and during interaction with a nearby ice blockage. Predictions showed that the method was effective in these extreme flows.

Publication metadata

Author(s): Liu P, Bose N, Colbourne B

Publication type: Article

Publication status: Published

Journal: International Shipbuilding Progress

Year: 2002

Volume: 49

Issue: 4

Pages: 263-273

Print publication date: 01/12/2002

ISSN (print): 0020-868X

ISSN (electronic): 1566-2829

Publisher: IOS Press