transformToSpatialDomainWithGAllDerivatives

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

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Declaration

 [w,wx,wy,wz] = transformToSpatialDomainWithGAllDerivatives( w_bar )

Parameters

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

Returns

• w variable w with dimensions \((x,y,z)\)
• wx variable dw/dx with dimensions \((x,y,z)\)
• wy variable dw/dy with dimensions \((x,y,z)\)
• wz variable dw/dz with dimensions \((x,y,z)\)

Discussion

This performs the same operation as transformToSpatialDomainWithG, 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.