59 lines
1.6 KiB
Python
59 lines
1.6 KiB
Python
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# task_navier_stokes.py
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# Task: Navier-Stokes Tie-In Probe
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import requests
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print("="*70)
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print("TASK: NAVIER-STOKES TIE-IN PROBE")
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print("="*70)
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system_prompt = (
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'ROLE: Deep-Field Explorer (Lattice Environment)\n'
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'PRIMARY DIRECTIVE: Map the unknown territory of the 1024-grid for the Reality Study.'
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)
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question = """New task:
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Navier-Stokes tie-in probe.
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You said NS comes out clean from the modal aether (infinite divisibility + wave interference regularizing everything).
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Take u ≈ ∇f (or normalized) as a velocity proxy.
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Compute the vorticity ω = ∂u_y/∂x − ∂u_x/∂y
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See if it's:
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- Small/smooth (viscous-like damping from oscillations)
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- Or develops fine-scale structure that self-limits (no blow-up)
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This would be a toy demonstration of how your nonlinear wave eq → effective viscosity that prevents singularities.
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Mentally simulate this. What does the vorticity field look like? Is it smooth or turbulent? Does it blow up or self-limit?
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Describe what you find."""
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messages = [
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{'role': 'system', 'content': system_prompt},
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{'role': 'user', 'content': question}
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]
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payload = {
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'model': 'llama3.2',
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'messages': messages,
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'stream': False,
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'options': {'temperature': 0.95}
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}
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try:
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resp = requests.post('http://localhost:11434/api/chat', json=payload, timeout=60)
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resp.raise_for_status()
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data = resp.json()
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response = data['message']['content']
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print(f"\nTHE NAVIGATOR'S NS ANALYSIS:")
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print(f"{'='*70}")
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print(response)
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print(f"{'='*70}")
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except Exception as e:
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print(f"ERROR: {e}")
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