2.4 KiB
Coupled harmonic-surface convergence study
The user has deferred positivity enforcement. This study keeps density an independent Q2 field and retains the simultaneous all-m degree-four harmonic surface/interior system. The primary milestones are useful convergence at higher index and angular momentum, and both enthalpy-pressure virials below 1e-5. Negative-density measurements remain diagnostic, not acceptance repairs.
Base revision: ef76e0c. Work is isolated on
research/coupled-convergence-study-20260919, with separate
research/linear-coupling-study-20260919 and
research/model-slices-20260919 branches for independent implementations.
The original programming checkout is unchanged.
First screen: n=2,J=0; n=3,J=0 at forcing tolerances 0.03 and 0.003; n=1,J=0.1; n=1.5,J=0.1. All use the same Q2 density, Q3 enthalpy and displacement, RT2/Q2 gravity, Q4 geometry, reference mesh, normalization, default inverse, 12-update budget, restart 160, and 300-iteration linear budget. Only n=3 includes the existing central phase condition. This tests whether a tenfold more accurate direction changes the n=3 trajectory, but it is not a same-state preconditioner comparison. Capture updates 0,3,7 for subsequent controlled probes. No input J is identified with a calibrated fraction of critical rotation.
Follow-up decisions depend on this screen and source review: frozen-state preconditioner/forcing comparisons; small coupled surface/border corrections; accepted-state continuation with checked field/coordinate transfer. Linear claims require independently applied full-J residuals; nonlinear claims use common stopping thresholds plus physical diagnostics, not residual alone. Report scalar-border forcing separately from the unbordered equations.
The slice feature will evaluate physical geometry and independent fields, show the material surface at true scale, retain signed density, and separate outside-domain points from valid interior samples. It must not silently turn a reference-coordinate cut into a physical planar cut.
Builds and expensive numerical cases run serially. The existing campaign
runner records exact source, binary, mesh, arguments, saved states and output
hashes. Initial evidence directory:
../../diagnostics/coupled_convergence_2026-09-19/screen_v1.
Results and any adaptive extensions will be recorded below before finalizing the study. Defaults and the physics-facing API are unchanged.