Restructure source residual computation to fix axisymmetric chemsitry/vib source computation

[jtneedels]

Proposed Changes

• This PR addresses an issue I found in my previous implementation where the chemistry source residual was being computed incorrectly when the axisymmetric source residual was called.
• This implementation fixes that issue, caused by using outer and inner loops.
• This PR eliminates redundant set functions, and restructures the code blocks to minimize the number of loops.

Related Work

• Fixes bug found in PR Addition of Source Terms for NEMO Axisymmetric Flows #1162

PR Checklist

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• I have added a test case that demonstrates my contribution, if necessary.
• I have updated appropriate documentation (Tutorials, Docs Page, config_template.cpp) , if necessary.

[WallyMaier]

@jtneedels thanks for the quick fix of this problem! I think it would be nice to include some results, but otherwise, it looks good to me!

[WallyMaier]

Nice not having to recompute these.

[pcarruscag]

Since this is a fix let's merge it for the release (later today).