WVBetaPlanePVAdvection

Add beta-plane advection to the balanced QGPV tendency.

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Declaration

WVBetaPlanePVAdvection < WVForcing

Overview

On a beta plane, material conservation of total quasigeostrophic potential vorticity gives

\[\frac{D}{Dt}(q+\beta y)=0,\]

so the right-hand-side tendency contributed by this forcing is

\[\left.\frac{\partial q}{\partial t}\right|_\beta=-\beta v_g.\]

QG transforms evaluate this expression directly in physical QGPV space. Wave-bearing transforms apply the equivalent spectral tendency only to the geostrophic A0 coefficients; Ap, Am, inertial modes, and mean-density-anomaly modes receive no direct beta tendency. This retains beta advection for the balanced flow but is not a full beta-plane treatment of internal-wave dynamics: wave frequencies and structures continue to use the transform’s constant Coriolis parameter.

wvt.addForcing(WVBetaPlanePVAdvection(wvt));

Topics

• Create the forcing
  • WVBetaPlanePVAdvection Create beta-plane QGPV advection for a transform.

Developer Topics

These items document internal implementation details and are not part of the primary public API.

• Forcing persistence
  • classRequiredPropertyNames
• Forcing internals
  • betaA0 Spectral multiplier mapping A0 to its beta-plane tendency.

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