Individual skill
dimensional-analysis
Automated dimensional analysis — Buckingham Pi theorem, non-dimensionalization, unit validation with pint, and characteristic scale estimation. Use before any physics computation to verify consistency and reduce parameter space.
backend/cli/skills/physics/dimensional-analysis/SKILL.md
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# Dimensional Analysis
## Overview
Systematic dimensional analysis for physics problems. Implements Buckingham Pi theorem to find dimensionless groups, validates unit consistency, non-dimensionalizes equations, and estimates characteristic scales.
## When to Use
- Before any physics computation: verify unit consistency
- Reducing parameter space via dimensionless groups
- Identifying which physical effects dominate (comparing dimensionless numbers)
- Non-dimensionalizing PDEs before numerical solution
- Checking if a derived formula has correct dimensions
