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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1996 Mar 5;93(5):1881–1885. doi: 10.1073/pnas.93.5.1881

Numerical vorticity creation based on impulse conservation.

D M Summers 1, A J Chorin 1
PMCID: PMC39876  PMID: 11607636

Abstract

The problem of creating solenoidal vortex elements to satisfy no-slip boundary conditions in Lagrangian numerical vortex methods is solved through the use of impulse elements at walls and their subsequent conversion to vortex loops. The algorithm is not uniquely defined, due to the gauge freedom in the definition of impulse; the numerically optimal choice of gauge remains to be determined. Two different choices are discussed, and an application to flow past a sphere is sketched.

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