An Iterative Brinkman penalization for particle vortex methods

Jens Honore Walther, Mads Mølholm Hejlesen, A. Leonard, P. Koumoutsakos

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Abstract

We present an iterative Brinkman penalization method for the enforcement of the no-slip boundary condition in vortex particle methods. This is achieved by implementing a penalization of the velocity field using iteration of the penalized vorticity. We show that using the conventional Brinkman penalization method can result in an insufficient enforcement of solid boundaries. The specific problems of the conventional penalization method is discussed and three examples are presented by which the method in its current form has shown to be insufficient to consistently enforce the no-slip boundary condition. These are: the impulsively started flow past a cylinder, the impulsively started flow normal to a flat plate, and the uniformly accelerated flow normal to a flat plate. The iterative penalization algorithm is shown to give significantly improved results compared to the conventional penalization method for each of the presented flow cases
Original languageEnglish
Article numberAbstract: R5.00008
JournalAmerican Physical Society. Bulletin
Volume58
Issue number8
ISSN0003-0503
Publication statusPublished - 2013
Event66th Annual Meeting of the American Physical Society Division of Fluid Dynamics - Pittsburgh, PA, United States
Duration: 24 Nov 201326 Nov 2013
Conference number: 66

Conference

Conference66th Annual Meeting of the American Physical Society Division of Fluid Dynamics
Number66
CountryUnited States
CityPittsburgh, PA
Period24/11/201326/11/2013

Cite this

Walther, J. H., Hejlesen, M. M., Leonard, A., & Koumoutsakos, P. (2013). An Iterative Brinkman penalization for particle vortex methods. American Physical Society. Bulletin, 58(8), [Abstract: R5.00008].