# 📐  L2 Spec — Spalart-Allmaras — one-eq turbulence model Mismatch-Only Spec

**ID:** `L2-178-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-178`](/artifact/l1/L1-178)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553969

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 32 – 2048 |
| W | px | 32 – 2048 |
| Z | — | 16 – 1024 |
| Snr db | dB | 0 – 40 |
| C b error | — | 0.0 – 0.3 |
| Wall error | — | 0.0 – 0.3 |
| Damping error | — | 0.0 – 0.2 |

## 2. Tolerance (ε)

**Type:** `fn`

```
16.0 + 0.3*SNR_dB - 15.0*damping_error - 10.0*C_b_error - 10.0*wall_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`b3d164cbc6b26ea5f1f47bc377e11c6862a47de336bd911d1565c00657afd359`

## 5. On-chain Registration

- **Chain hash:** `0x9938a76942b189eb0202d641ce61d0d4723145be929ef6cb3d471646d3dc046f`
- **Chain tx hash:** `0xd11940a3c177d8096928ce701e06a60714cd3285b5bd6685865c99158ce2629a`
- **Chain block:** `41553969`

---

## File Mapping

This bundle consists of: `L2-178-001.md`, `L2-178-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-178-001.md` | Source of truth — edit this | Human or LLM |
| `L2-178-001.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 `L2-178-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._