genpark-barnes-hut-nbody-gravity-simulation-skill
mcp
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Barnes-Hut hierarchical quadtree N-body gravitational simulation with multipole acceptance criteria
README.md
genpark-barnes-hut-nbody-gravity-simulation-skill
Agent Skill implementing the Barnes-Hut $O(N \log N)$ hierarchical quadtree algorithm for gravitational N-body simulations with Multipole Acceptance Criteria (MAC).
Architectural Overview
flowchart TD
Bodies["N Point Masses"] --> Quad["Build Hierarchical Quadtree"]
Quad --> COM["Compute Center of Mass & Total Mass per Node"]
COM --> MAC{"Check MAC: Size / Dist < Theta ?"}
MAC -- Yes --> Approx["Approximate Subtree as Single Point Mass"]
MAC -- No --> Recurse["Traverse Quadtree Children"]
Approx & Recurse --> Force["Accumulate Gravitational Force"]
Force --> Euler["Symplectic Euler Step: Update Velocities & Positions"]
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