transformToSpatialDomainWithFAllDerivatives

transforms from the spectral domain (k,l,j) to the spatial domain (x,y,z) using the F-modes, returning the transformed variable an its derivatives.

---

Declaration

 [u,ux,uy,uz] = transformToSpatialDomainWithFAllDerivatives(u_bar)

Parameters

• u_bar variable with dimensions \((k,l,j)\)

Returns

• u variable u with dimensions \((x,y,z)\)
• ux variable du/dx with dimensions \((x,y,z)\)
• uy variable du/dy with dimensions \((x,y,z)\)
• uz variable du/dz with dimensions \((x,y,z)\)

Discussion

This performs the same operation as transformToSpatialDomainWithF, but also returns the first-derivative in all three spatial directions.

The computation of these derivatives can be performed more efficiently if done simultaneously. So when performance is a requirement, it can be useful to call this function rather than request the derivatives individually.