Sentences with phrase «of the vorticity equation»

«Transform Method for Calculation of Vector - Coupled Sums: Application to the Spectral Form of the Vorticity Equation.»

1970 S.A. Orszag, «Transform Method for Calculation of Vector - Coupled Sums: Application to the Spectral Form of the Vorticity Equation.»

Not exact matches

The coefficients of the differential equation for the eddy viscosity (the added viscosity) are determined by matching a few (usually 2) canonical cases, usually a flat plat boundary layer in a zero pressure gradient and a straight wake (a sheet of vorticity).

This can most easily be seen by considering that the slowly evolving large scale flow satisfies elliptic equations for all variables except the vertical component of the vorticity.

For that, we require that A˜mOrt should be higher than the sum of the nonlinear terms in the original nonlinear barotropic vorticity equation on a sphere (see, e.g., ref.

In the so - called model numerics, a great deal of care is used in formulating the differential equation solution approach so as to explicitly conserve a number of quantities (mass, energy, water substance, angular momentum, linear momentum, vorticity) that are all important for the accurate representation of atmospheric dynamics.

If you take the curl of the Navier - Stokes equations you will see that vorticity is conserved.

It has also been proved mathematically that if one uses only the vertical component of vorticity (a simple interpolation in time and space can be used), then the rest of the slowly evolving in time solution, i.e. the horizontal divergence, the vertical velocity, the potential temperature, and the pressure) can be determined using solutions of a simple set of elliptic equations (Browning and Kreiss 2002 and Page et al. 2005).