L2 📐 L2-183-001 ⊙ Testnet

Volume of Fluid (VOF) — multiphase interface tracking Mismatch-Only Spec

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-183-001

⬇ L2-183-001.md ⬇ L2-183-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-183-001 (Volume of Fluid (VOF) — multiphase interface tracking Mismatch-Only Spec) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-183-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-183-001.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

derived from principle L1-183

y = ∫_t dt `L.surface_tension` `L.interface_recon` `L.vof_advect` x + n,    n ~ 𝒩(0, σ²)

world state x (interface phase field multiphase)

→

L · vof advect `L.vof_advect`

→

L · interface recon `L.interface_recon`

→

L · surface tension `L.surface_tension`

→

Temporal integration ∫_t dt

→

observation y (mechanical detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-183-001.md

# 📐 L2 Digital Twin — Volume of Fluid (VOF) — multiphase interface tracking Mismatch-Only Spec **ID:** `L2-183-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-183`](/artifact/l1/L1-183) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.48 · **Delta tier:** 5 > **⛓ On-chain block:** 41553970 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | H | px | 32 – 8192 | | W | px | 32 – 8192 | | Snr db | dB | 0 – 40 | | N times | — | 100 – 1000000 | | Coalescence artifact | — | 0.0 – 0.3 | | Surface tension error | — | 0.0 – 0.3 | | Interface thickness error | — | 0.0 – 0.3 | ## 2. Tolerance (ε) **Type:** `fn` ``` 16.0 + 0.3*SNR_dB - 10.0*interface_thickness_error - 15.0*surface_tension_error - 8.0*coalescence_artifact ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.48 | | Delta tier | 5 | ## 4. Fingerprint `e803fb2de28a9c004eb7d63a9a962ff1dbe29e93bb3c3026174260b3ee1f74bf` ## 5. On-chain Registration - **Chain hash:** `0xc9ae3a6812ff842a0adc0f6d5ebf7556a0e6a1f6bf20070494543765d114e091` - **Chain tx hash:** `0x6fbfe4fdb340dbf4301d5c3603618c3f89d50ceff56c125ae4c9e8f78059b123` - **Chain block:** `41553970` --- ## File Mapping This bundle consists of: `L2-183-001.md`, `L2-183-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-183-001.md` | Source of truth — edit this | Human or LLM | | `L2-183-001.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L2-183-001`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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⌥ Hierarchy

Upstream lineage and downstream children

↑ Upstream

L1 L1-183 Volume of Fluid (VOF) — multiphase interface tracking

↓ L3 Benchmark 1 child ▾

L3-183-001-001-T1 T1_nominal

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L2-183-001",
  "chain_block": 41553970,
  "chain_hash": "0xc9ae3a6812ff842a0adc0f6d5ebf7556a0e6a1f6bf20070494543765d114e091",
  "chain_tx_hash": "0x6fbfe4fdb340dbf4301d5c3603618c3f89d50ceff56c125ae4c9e8f78059b123",
  "delta_tier": 5,
  "difficulty_score": 0.48,
  "epsilon": {
    "expression": "16.0 + 0.3*SNR_dB - 10.0*interface_thickness_error - 15.0*surface_tension_error - 8.0*coalescence_artifact",
    "type": "fn"
  },
  "fingerprint": "e803fb2de28a9c004eb7d63a9a962ff1dbe29e93bb3c3026174260b3ee1f74bf",
  "layer": "L2",
  "omega": {
    "dims": {
      "H": [
        32,
        8192
      ],
      "N_times": [
        100,
        1000000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        32,
        8192
      ],
      "coalescence_artifact": [
        0.0,
        0.3
      ],
      "interface_thickness_error": [
        0.0,
        0.3
      ],
      "surface_tension_error": [
        0.0,
        0.3
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-183",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Volume of Fluid (VOF) \u2014 multiphase interface tracking Mismatch-Only Spec"
}

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