Non-Conservative Zonal Mean

[philipc2]

Closes #93

Overview

• Implements Non-Conservative Zonal Averaging (see Non-Conservative Zonal Mean #785 for a more detailed discussion)
• User Guide on Zonal Means

[philipc2]

@erogluorhan @hongyuchen1030 @paullric

For zonal averaging, would the primary difference between Conservative and Non-Conservative be whether we apply a weighted average as opposed to performing a standard average?

[hongyuchen1030]

@erogluorhan @hongyuchen1030 @paullric

For zonal averaging, would the primary difference between Conservative and Non-Conservative be whether we apply a weighted average as opposed to performing a standard average?

As I explained before here #785 (comment)

Both use weighted average

But non-conservative one use the arc length, conservative use the area as weights

[philipc2]

@erogluorhan @hongyuchen1030 @paullric
For zonal averaging, would the primary difference between Conservative and Non-Conservative be whether we apply a weighted average as opposed to performing a standard average?

As I explained before here #785 (comment)

Both use weighted average

But non-conservative one use the arc length, conservative use the area as weights

Sorry for the duplicate! Send this one without seeing your comment before. Appreciate the clarification

[philipc2]

@aaronzedwick

For reference, the pre-commit is failing in all the PR's and CI's too.

[philipc2]

There is currently a large bottleneck in perfromance due to the weight computation. See below a profile of the 30km MPAS grid, with latitudes between -45 and 45 degrees using a 2 degree spacing.

Despite this, @rajeeja @aaronzedwick @amberchen122 , you may begin to review this PR.

@hongyuchen1030 and I will continue to investigate performance optimizations. If we do not finish them by the time reviews are done, we can continue to iterate after it is merged.

[philipc2]

I've improved the performance slightly by removing the newton-raphson solver and by using Polars.

[hongyuchen1030]

Looks good! Pinning @amberchen122 for a closer look of the implementation

[amberchen122]

Great job! Thank you for transferring the changes over. Well done!