LOW-SPEED ALE CONTINUATION — COMPLETION RECORD
Provenance: assembled after completion from the real saved metadata and final progress JSON,
and the final console line returned by the actual calculation. This is not a full raw
console transcript. No progress rows, simulation states or timestamps are fabricated.

Executed command (from the course workspace root):
python -X utf8 advanced-wind-course/viv/ale/continue_ale.py --until 320 --name low-long
Execution session 94215 completed with exit code 0.

Captured actual final console line:
low-long t=320.00 y=+0.013756 CL=+0.23859 J=0.98928 elapsed=720.1s

Timing: metadata continuationSeconds records stepping time near the final checkpoint;
progress elapsedSeconds includes the final file save and completion diagnostics.

SAVED RUN METADATA
{
  "name": "low-long",
  "U": 0.7,
  "nu": 0.01,
  "fn": 0.16,
  "mass_ratio": 10.0,
  "zeta": 0.01,
  "duration": 320.0,
  "dt": 0.05,
  "frame_interval": 0.5,
  "fixed": false,
  "fine": false,
  "mass": 7.853981633974483,
  "k": 7.937606830156754,
  "c": 0.15791367041742974,
  "rho": 1.0,
  "D": 1.0,
  "Re": 70.0,
  "seconds": 1551.0191749000005,
  "minAreaRatio": 0.987594117783587,
  "maxWeakDivergence": 1.084614169311049e-14,
  "maxFluidResidual": 1.4210854715202004e-14,
  "maxOuterDisplacement": 0.0,
  "maxBodyError": 0.0,
  "meshMapping": "x=X; y=Y+h(X,Y)*body_y; reference P1 harmonic h with body=1, outer=0",
  "solver": "scikit-fem P2/P1 Taylor-Hood ALE, implicit Euler, Oseen, explicit partitioned SDOF",
  "units": "Common nondimensional scales D=1, Uref=1, rho=1. All case times use D/Uref; y is y/D.",
  "historyColumns": [
    "t",
    "y",
    "v",
    "a",
    "fx",
    "fy",
    "CL",
    "CD",
    "minAreaRatio",
    "weakDivergence",
    "fluidResidual"
  ],
  "continuationSeconds": 720.1008261000006,
  "continuationSource": "D:\\claude_work\\20260908_桥梁抗风课程备课\\advanced-wind-course\\viv\\ale\\runs\\low.npz",
  "continuationSourceSha256": "2412406187cd0eeb0ffd71a1317b896477681bf8ae6deb172b1a93ddc0d1bd82",
  "continuationSourceTime": 140.0,
  "continuationTargetTime": 320.0,
  "continuationQuadratureOrder": 4,
  "continuationDescription": "Exact saved final P2 velocity, P1 pressure, body y/v and CFD force; no new initial perturbation or restart.",
  "originalNodeFrameEvidence": "Earlier coordinates reconstructed exactly from saved linear harmonic mapping; continuation coordinates saved directly.",
  "error": null
}

SAVED FINAL PROGRESS
{
  "time": 320.0,
  "target": 320.0,
  "sourceTime": 140.0,
  "elapsedSeconds": 723.8169636000002,
  "stepsAdded": 3600,
  "error": null,
  "windows": [
    {
      "from": 240.05,
      "to": 280.0,
      "samples": 800,
      "yRms": 0.011194350653473238,
      "yHalfRange": 0.015869168555720025,
      "CLRms": 0.18559386333412164,
      "CLHalfRange": 0.26307016446180287
    },
    {
      "from": 280.05,
      "to": 320.0,
      "samples": 800,
      "yRms": 0.01119413152375529,
      "yHalfRange": 0.015869444945524155,
      "CLRms": 0.18560218195959224,
      "CLHalfRange": 0.2630748838551107
    }
  ],
  "interpretation": "Two finite 40-unit windows; small change is a development diagnostic, not proof of a steady limit cycle.",
  "relativeChanges": {
    "yRms": -1.957502714812847e-05,
    "CLRms": 4.482166231769879e-05,
    "yHalfRange": 1.7416779156382755e-05,
    "CLHalfRange": 1.793967520973807e-05
  }
}

INDEPENDENT VERIFICATION
{
  "restartPassed": true,
  "restartMaximumDifferences": {
    "history": 0.0,
    "uP2Frames": 0.0,
    "pFrames": 0.0,
    "yFrames": 0.0,
    "vFrames": 0.0,
    "uVertexFrames": 0.0,
    "wFrames": 0.0,
    "vorticityFrames": 0.0
  },
  "developmentPassed": true,
  "originalSourceUnchanged": true,
  "independentAuditPassed": true,
  "auditPath": "live_qa/low-long-audit.json",
  "developmentPath": "live_qa/low-long-development.json"
}