[WIP] Fix NEMO Inlet BC

[jtneedels]

Proposed Changes

Fix NEMO inlet BC.

Related Work

Resolve any issues (bug fix or feature request), note any related PRs, or mention interactions with the work of others, if any.

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[jtneedels]

Need to figure out how to adapt for noneq flows. I haven't been able to find a separate description of how to solve for boundary conditions for noneq flows with Riemann invariants.

[jtneedels]

I've thought about this a bit, and I think the best way forward for this BC is to assume thermal equilibirum in the subsonic flow. In that case the ongoing characteristic for total density can be used to solve for the full thermodynamic state. I think this probably is consistent with use cases such as fuel injection in scramjets, where the injected fluid would be in thermodynamic equilibrium.

[jtneedels]

@pcarruscag PTAL what would be the best way to handle variable declarations with the switch statement? Either they all need to be pre-declared at the top of the function, or I can declare them inline and restrict the scope, but then the residual computation needs to take place in each case. Which of these ways would be preferred?

[stale]

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