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A way to split the Navier-Stokes equations in the context of the vortex method

✍ Scribed by Kornev, N. V. ;Basin, M. A.

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
132 KB
Volume
14
Category
Article
ISSN
1069-8299

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✦ Synopsis

A numerical scheme has been obtained rigorously from the initial-boundary value problem for the Navier± Stokes (NS) equations in the context of the vortex method. The technique is based on a transformation of the NS equation into a parabolic equation which has an exact solution. The numerical scheme is derived by expanding the exact solution in Taylor series in powers of a small time interval. Numerical implementation is developed with use of vortex particles to represent the vortex ¯ow domain. The method is used to solve practical engineering problems. The technique can also incorporate turbulence modelling.

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