nonlinearFluxWithGradientMasks

returns the flux of each coefficient as determined by the nonlinear flux operation

Declaration 

 [Fp,Fm,F0] = nonlinearFluxWithGradientMasks(ApmUMask,A0UMask,ApmUxMask,A0UxMask)

Parameters

  • ApmUMask mask for the wave portion of \(\vec{u}\) in \(\vec{u} \cdot \nabla \vec{u}\)
  • A0UMask mask for the geostrophic portion of \(\vec{u}\) in \(\vec{u} \cdot \nabla \vec{u}\)
  • ApmUxMask mask for the wave portion of \(\nabla \vec{u}\) in \(\vec{u} \cdot \nabla \vec{u}\)
  • A0UxMask mask for the geostrophic portion of \(\nabla \vec{u}\) in \(\vec{u} \cdot \nabla \vec{u}\)

Returns

  • Fp flux into the Ap coefficients
  • Fm flux into the Am coefficients
  • F0 flux into the A0 coefficients

Discussion

The masks are applied to the coefficients Ap,Am,A0 before computing the nonlinear flux, \(\vec{u} \cdot \nabla \vec{u}\). This function offers more fine-grained control than -nonlinearFluxWithMask.

The nonlinear flux used is the unforced, invicid equations.