[QL-Balance] Run multiple periodic KIM modes with profile feedback

[krystophny]

Parent

#18

What to build

Extend the stationary periodic coupling to every configured resonant mode and repeated profile refreshes. Each mode must retain its signed identity, local validity window, magnetic-drive provenance, and response state. Diffusion tensors are accumulated incoherently on the global radial grid at the established assembly point.

Acceptance criteria

• Every configured signed mode is located and passed to periodic KIM without absolute-value or mode-index rewriting.
• Modes whose signed resonance is outside the profile range are rejected or explicitly reported as nonresonant.
• Updated QL density, temperatures, safety factor, radial electric field, and other required profiles are supplied before each response refresh.
• Per-mode local windows, fields, currents, tensors, and normalization metadata remain separate until global accumulation.
• Independent mode diffusion tensors add incoherently; unrelated field phases are not coherently combined.
• Overlapping local supports add transport without corrupting either mode's transition metadata.
• Reordering an identical mode list leaves resonance locations and accumulated transport unchanged.
• Sequential solves do not reuse stale KIM grid, plasma, field, or current state.
• A two-mode integration test covers separated and overlapping resonances plus a profile update.
• The delivered behavior closes the periodic-KIM portion of the multi-mode capability tracked by Reestablish multi-mode function in QL-Balance #18.

Blocked by

• Preserve signed m, n, and q when locating KIM/QL-Balance resonances #231
• [QL-Balance] Couple one periodic KIM mode with compact global embedding #290