Add local poloidal beta profile and beta_pol_prime derivative calculations - #2429
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…tions Implement `calculate_beta_pol_profile` in `formulas.py` to calculate the local poloidal beta profile on the cell grid, defined as: beta_pol_local = P_total / (<Bp^2> / (2 * mu0)). Also implement `calc_beta_pol_prime` on the face grid to compute the derivative magnitude with respect to normalized poloidal flux: beta_pol_prime = -d(beta_pol_local) / d(psi_norm). Register BETA_POL_PROFILE and BETA_POL_PRIME as output keys in post-processing. Part of a chain of PRs related to setting Internal Boundary Conditions consistent with a user-set beta_pol_prime. PiperOrigin-RevId: 976562006
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Add local poloidal beta profile and beta_pol_prime derivative calculations
Implement
calculate_beta_pol_profileinformulas.pyto calculate the localpoloidal beta profile on the cell grid, defined as:
beta_pol_local = P_total / (<Bp^2> / (2 * mu0)).
Also implement
calc_beta_pol_primeon the face grid to compute thederivative magnitude with respect to normalized poloidal flux:
beta_pol_prime = -d(beta_pol_local) / d(psi_norm).
Register BETA_POL_PROFILE and BETA_POL_PRIME as output keys in post-processing.
Part of a chain of PRs related to setting Internal Boundary Conditions
consistent with a user-set beta_pol_prime.