Editorial overview
The literature gate returned REFRAME because LWR shocks, entropy selection, Godunov and cell-transmission methods, numerical diffusion and high-resolution comparisons are mature. The defensible contribution is a frozen replication-extension diagnostic with a preserved null, not a new solver or a real-traffic claim.
Read When a Traffic Solver Invents a Jam for the exact shock derivation, grid-alignment mechanism, four operational diagnostics, complete twelve-case result, failure record, reproduction signature and claim boundary.
Key findings
- The exact backward shock speed is -0.05 and the fixed sensor arrival is 4.0; all twelve numerical cases remain finite, bounded and conservative.
- At N=50, Godunov final cell-average L1 error is about 1.37e-11 because the final shock aligns with a cell boundary, while the threshold arrival remains 0.517647 late.
- Arrival delay, transition width and threshold-defined queue errors improve with grid refinement, but the frozen strict final-L1 gate fails for both Godunov and Rusanov.
Limitations
- The evidence covers one dimensionless Greenshields shock, one sensor, one threshold, one CFL and four grids.
- No empirical road, detector, calibration, travel-time forecast, safety conclusion or transport-policy recommendation is involved.
- The study derives no modified-equation coefficient, proves no new theorem and makes no universal ranking of finite-volume schemes.
Technical record
Detailed source, calculations, generated figures, and reproduction instructions are maintained in a private technical workspace. Public articles contain only manually reviewed interpretation and approved figures.
Version history
2026-08-30 — Curated overview reviewed against repository evidence.