# 📐 L2 Spec — LES — large-eddy simulation Mismatch-Only Spec
**ID:** `L2-179-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-179`](/artifact/l1/L1-179)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553970
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 8192 |
| W | px | 64 – 8192 |
| Z | — | 32 – 2048 |
| Re | — | 1000 – 1000000000.0 |
| Snr db | dB | 0 – 40 |
| N times | — | 100 – 1000000 |
| Sgs model error | — | 0.0 – 0.3 |
| Filter width error | — | 0.0 – 0.3 |
| Grid resolution error | — | 0.0 – 0.3 |
## 2. Tolerance (ε)
**Type:** `fn`
```
13.0 + 0.3*SNR_dB - 8.0*sgs_model_error - 15.0*grid_resolution_error - 5.0*filter_width_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`eb2df46e7a5b328d20cc7b324ecdf705962c21d9501de608a6d0c3042351d9c2`
## 5. On-chain Registration
- **Chain hash:** `0x909ea33f4d5bb2f670b3367cef06c58b44258cfa6f8dfe1171bff563391e7b3e`
- **Chain tx hash:** `0x90ef92a5d8c4a445628485c8dd2599fc657fdd3d19ef4ce292310750d17fc947`
- **Chain block:** `41553970`
---
## File Mapping
This bundle consists of: `L2-179-001.md`, `L2-179-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-179-001.md` | Source of truth — edit this | Human or LLM |
| `L2-179-001.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 `L2-179-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._