Rule Catalog

PH-BC

Rule	Name	Severity	Input modes
PH-BC-001	Boundary condition violation (relative or absolute mode)	error	adapter+dump
PH-BC-002	Boundary flux imbalance (divergence theorem)	warning	adapter+dump

PH-CON

Rule	Name	Severity	Input modes
PH-CON-001	Mass conservation violation	error	adapter+dump
PH-CON-002	Energy conservation violation	error	adapter+dump
PH-CON-003	Energy dissipation sign violation	warning	adapter+dump
PH-CON-004	Per-element conservation hotspot	warning	adapter+dump

PH-NUM

Rule	Name	Severity	Input modes
PH-NUM-001	Quadrature convergence warning	warning	adapter+dump
PH-NUM-002	Refinement convergence rate below expected	warning	adapter+dump

PH-POS

Rule	Name	Severity	Input modes
PH-POS-001	Positivity violation	error	adapter+dump
PH-POS-002	Maximum principle violation	error	adapter+dump

PH-RES

Rule	Name	Severity	Input modes
PH-RES-001	Residual exceeds variationally-correct norm threshold	error	adapter+dump
PH-RES-002	FD-vs-AD residual cross-check discrepancy	warning	adapter
PH-RES-003	Spectral-vs-FD residual discrepancy on periodic grid	warning	adapter+dump

PH-SYM

Rule	Name	Severity	Input modes
PH-SYM-001	C4 rotation equivariance violation	warning	adapter+dump
PH-SYM-002	Reflection equivariance violation	warning	adapter+dump
PH-SYM-003	SO(2) Lie derivative equivariance violation	warning	adapter
PH-SYM-004	Translation equivariance violation	warning	adapter+dump

PH-VAR

Rule	Name	Severity	Input modes
PH-VAR-002	Hyperbolic norm-equivalence conjectural	info	adapter+dump