Fluid simulation · muse-wonder
Output generated Cost / run $0.4195 Runtime 98.3s
Prompt for this run
Build an interactive 2D fluid-and-dye simulation on a full-screen canvas. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Maintain a velocity field and a colored dye field. Advect dye through the moving fluid so it forms persistent swirling flow; a collection of independent fading particles is not sufficient. - Dragging injects dye and momentum in the drag direction. Momentum and dye remain visible after the pointer is released and gradually dissipate. Approximate fluid behavior is acceptable; choose the numerical method and Canvas 2D or WebGL implementation. - Seed the initial scene with a small amount of colored dye and motion so the simulation is visible on load. - Provide a color selector, Pause/Resume, and Clear. Clear removes dye and resets velocity; the next drag can start a new flow. - Bound simulation resolution and work per frame so controls remain responsive at a 1200 by 800 viewport. Verify: Drag through the canvas and sample the flow after release. Check that dye follows the drag, continues swirling, and responds to a second drag in another direction. Use Clear, then drag again to check that a fresh flow can start.
TAKE IT TO CODE
A single self-contained HTML file — copy it and open in any browser, or reuse the prompt with your own pi-agent run.
RUN
METRICS
Transcript · 27 messages
Build an interactive 2D fluid-and-dye simulation on a full-screen canvas. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Maintain a velocity field and a colored dye field. Advect dye through the moving fluid so it forms persistent swirling flow; a collection of independent fading particles is not sufficient. - Dragging injects dye and momentum in the drag direction. Momentum and dye remain visible after the pointer is released and gradually dissipate. Approximate fluid behavior is acceptable; choose the numerical method and Canvas 2D or WebGL implementation. - Seed the initial scene with a small amount of colored dye and motion so the simulation is visible on load. - Provide a color selector, Pause/Resume, and Clear. Clear removes dye and resets velocity; the next drag can start a new flow. - Bound simulation resolution and work per frame so controls remain responsive at a 1200 by 800 viewport. Verify: Drag through the canvas and sample the flow after release. Check that dye follows the drag, continues swirling, and responds to a second drag in another direction. Use Clear, then drag again to check that a fresh flow can start.
thinking
Implementing a single-file 2D fluid and dye simulation with grid-based solver, canvas rendering, and interactive controls.Finalizing grid sizing, advection, projection, splatting, seeding, rendering, and UI controls.
index.html (16455 bytes)Successfully wrote to index.html
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{"action":"reload"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.","images":"attached"}
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{"action":"drag","x":300,"y":500,"toX":900,"toY":350}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 60 fps","images":"attached"}
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{"action":"motion"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 60 fps","images":"attached"}
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{"action":"click","x":384,"y":74}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 58 fps","images":"attached"}
{"action":"drag","x":950,"y":250,"toX":350,"toY":600}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 60 fps","images":"attached"}
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{"action":"click","x":756,"y":74}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n▶ Resume\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 60 fps","images":"attached"}
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{"action":"click","x":756,"y":74}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 60 fps · paused","images":"attached"}
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{"action":"click","x":840,"y":74}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 50 fps","images":"attached"}
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{"action":"drag","x":400,"y":650,"toX":800,"toY":250}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.\n133×89 grid · 51 fps","images":"attached"}
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{"path":"index.html","edits":[{"oldText":"function setBoundsVel(){\n for(let x=0;x<W;x++){\n v[IX(x,0)] = Math.abs(v[IX(x,0)]); // infloSuccessfully replaced 1 block(s) in index.html.
{"action":"reload"}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"🌊 Fluid & Dye stable-fluid solver\nCOLOR\n⏸ Pause\n✕ Clear\nDrag on the canvas to inject dye & momentum — release and watch it swirl. Drag again to stir it another way.","images":"attached"}
thinking
Built `index.html` — a self-contained 2D fluid & dye simulation (no external assets). **Implementation:** - Jos Stam-style stable-fluid solver: velocity field is self-advected (semi-Lagrangian), with vorticity confinement for persistent swirls and a pressure-projection step for incompressibility. - RGB dye field (3 channels) advected through the same velocity field — true fluid-borne color, not particles. Dye/velocity dissipate gradually (`0.994`/`0.996` per step). - Dragging injects Gaussian splats of dye + momentum in the drag direction (subdivided strokes, clamped force). Seeded on load with multi-colored dye blobs and a vortex pair. Bounded grid (133×89 at 1200×800, capped 160×110, max 2 steps/frame) holding ~50–60 fps. - Controls: 8 color swatches + rainbow mode + custom color picker, Pause/Resume (also Spacebar), Clear (also `C` key). **Verified in browser:** - Initial scene visible with colored dye and motion on load. - Drag (300,500)→(900,350) injected a cyan streak; motion capture after release showed it continuing to curl into swirls and gradually fade, carrying neighboring seed dye with it. - Selected pink, second drag in the opposite diagonal direction produced a pink flow. - Pause toggled to Resume and back; Clear emptied the canvas completely; a fresh drag afterward started a new pink flow. **Not verified:** touch/pen input on real devices, rainbow & custom-picker dye (same code path as tested swatches), and resize behavior mid-flow.