Boundary conditions for the vorticity-velocity formulation of Navier-Stokes equations

Ni, Alexander

doi:10.2514/3.13080

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T 4 T Dt1

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“…From (13)±(15) follow the abovementioned estimate (11). Therefore, the heat potential of the surface distribution in (3) is ®rst order in Dt.…”

Section: T 4 T Dtmentioning

confidence: 99%

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

Kornev

Basin²

1998

Commun. Numer. Meth. Engng.

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SUMMARYA 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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“…From (13)±(15) follow the abovementioned estimate (11). Therefore, the heat potential of the surface distribution in (3) is ®rst order in Dt.…”

Section: T 4 T Dtmentioning

confidence: 99%