# 📐  L2 Spec — Hemodynamics (Navier-Stokes Cardiovascular) — Nominal + Mismatch Specs

**ID:** `L2-400-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-400`](/artifact/l1/L1-400)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.42 · **Delta tier:** 5
> **⛓ On-chain block:** 41555220

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Re reynolds | — | 100 – 5000 |
| Mri voxel mm | mm | 0.5 – 5.0 |
| N mesh elements | — | 10000 – 5000000 |
| Cardiac cycle s | s | 0.5 – 2.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.3 + 0.2 * (MRI_voxel_mm / 2.0) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.42 |
| Delta tier | 5 |

## 4. Fingerprint

`d9a9e33a334d6b2f8ad3a394fe27e0d46ce6a1a8de921c022429fc8a8f586e4e`

## 5. On-chain Registration

- **Chain hash:** `0xfd6c4f8558de534c43f76f42bf3c04b0e23f5ff0851e346c1b9b6ce14a1f0cc0`
- **Chain tx hash:** `0x37f903b79eb15ea6a41cf698a4fac669042f96f622d35e525e3d0255507775d0`
- **Chain block:** `41555220`

---

## File Mapping

This bundle consists of: `L2-400-001.md`, `L2-400-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-400-001.md` | Source of truth — edit this | Human or LLM |
| `L2-400-001.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 `L2-400-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._