Fluid simulation · deepseek-chat
Create a real-time fluid simulation on a full-screen canvas where dragging the mouse pushes swirling colored dye through the fluid.
This one-shot run produced no runnable artifact.
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transcript · 2 messages
Create a real-time fluid simulation on a full-screen canvas where dragging the mouse pushes swirling colored dye through the fluid.
Here’s a single-page web app that implements a real-time fluid simulation with mouse interaction. It uses a simplified version of the Navier-Stokes equations to simulate fluid dynamics, and dragging the mouse pushes colorful dye through the fluid. I'll create the file `index.html` with all the code embedded: html <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Fluid Simulation</title> <style> body { margin: 0; overflow: hidden; background: #000; } canvas { display: block; } </style> </head> <body> <canvas id="canvas"></canvas> <script> const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); // Set canvas to full screen function resizeCanvas() { canvas.width = window.innerWidth; canvas.height = window.innerHeight; } resizeCanvas(); window.addEventListener('resize', resizeCanvas); // Simulation parameters const N = 128; // Grid resolution (lower for performance, higher for detail) const iterations = 10; // Solver iterations const dt = 0.02; // Time step // Initialize grids let u = new Array(N * N).fill(0); // Velocity X let v = new Array(N * N).fill(0); // Velocity Y let u_prev = new Array(N * N).fill(0); let v_prev = new Array(N * N).fill(0); let dens = new Array(N * N).fill(0); // Density/dye let dens_prev = new Array(N * N).fill(0); // Mouse interaction let mouseX = 0, mouseY = 0; let mouseDown = false; let prevMouseX = 0, prevMouseY = 0; canvas.addEventListener('mousemove', (e) => { mouseX = e.clientX / canvas.width * N; mouseY = e.clientY / canvas.height * N; if (mouseDown) { const i = Math.floor(mouseX); const j = Math.floor(mouseY); if (i >= 2 && i < N-2 && j >= 2 && j < N-2) { const idx = i + j * N; u[idx] += (mouseX - prevMouseX) * 10; v[idx] += (mouseY - prevMouseY) * 10; dens[idx] = 100; } } prevMouseX = mouseX; prevMouseY = mouseY; }); canvas.addEventListener('mousedown', () => mouseDown = true); canvas.addEventListener('mouseup', () => mouseDown = false); canvas.addEventListener('mouseleave', () => mouseDown = false); // Simulation functions function set_bnd(b, x) { for (let i = 1; i < N-1; i++) { x[i] = b === 1 ? -x[i+N] : x[i+N]; x[i + (N-1)*N] = b === 1 ? -x[i + (N-2)*N] : x[i + (N-2)*N]; } for (let j = 1; j < N-1; j++) { x[j*N] = b === 2 ? -x[1 + j*N] : x[1 + j*N]; x[N-1 + j*N] = b === 2 ? -x[N-2 + j*N] : x[N-2 + j*N]; } x[0] = 0.5 * (x[1] + x[N]); x[N-1] = 0.5 * (x[N-2] + x[2*N - 1]); x[(N-1)*N] = 0.5 * (x[(N-2)*N] + x[(N-1)*N + 1]); x[N*N - 1] = 0.5 * (x[N*N - 2] + x[N*(N-1) - 1]); } function lin_solve(b, x, x0, a, c) { for (let k = 0; k < iterations; k++) { for (let j = 1; j < N-1; j++) { for (let i = 1; i < N-1; i++) { x[i + j*N] = (x0[i + j*N] + a * ( x[i-1 + j*N] + x[i+1 + j*N] + x[i + (j-1)*N] + x[i + (j+1)*N] )) / c; } } set_bnd(b, x); } } function diffuse(b, x, x0, diff) { const a = dt * diff * (N-2) * (N-2); lin_solve(b, x, x0, a, 1 + 4*a); } function project(u, v, p, div) { for (let j = 1; j < N-1; j++) { for (let i = 1; i < N-1; i++) { div[i + j*N] = -0.5 * ( u[i+1 + j*N] - u[i-1 + j*N] + v[i + (j+1)*N] - v[i + (j-1)*N] ) / N; p[i + j*N] = 0; } } set_bnd(0, div); set_bnd(0, p); lin_solve(0, p, div, 1, 4); for (let j = 1; j < N-1; j++) { for (let i = 1; i < N-1; i++) { u[i + j*N] -= 0.5 * (p[i+1 + j*N] - p[i-1 + j*N]) * N; v[i + j*N] -= 0.5 * (p[i + (j+1)*N] - p[i + (j-1)*N]) * N; } } set_bnd(1, u); set_bnd(2, v); } function advect(b, d, d0, u, v) { for (let j = 1; j < N-1; j++) { for (let i = 1; i < N-1; i++) { let x = i - dt * u[i + j*N] * (N-2); let y = j - dt * v[i + j*N] * (N-2); x = Math.max(0.5, Math.min(N-1.5, x)); y = Math.max(0.5, Math.min(N-1.5, y)); const i0 = Math.floor(x); const j0 = Math.floor(y); const s1 = x - i0; const s0 = 1 - s1; const t1 = y - j0; const t0 = 1 - t1; d[i + j*N] = s0 * (t0 * d0[i0 + j0*N] + t1 * d0[i0 + (j0+1)*N]) + s1 * (t0 * d0[i0+1 + j0*N] + t1 * d0[i0+1 + (j0+1)*N]); } } set_bnd(b, d); } // Main simulation loop function simulate() { // Add some random dye for effect for (let i = 0; i < 5; i++) { const x = Math.floor(Math.random() * (N-4)) + 2; const y = Math.floor(Math.random() * (N-4)) + 2; dens_prev[x + y*N] = Math.random() * 50 + 50; } diffuse(1, u_prev, u, 0.1); diffuse(2, v_prev, v, 0.1); project(u_prev, v_prev, u, v); advect(1, u, u_prev, u_prev, v_prev); advect(2, v, v_prev, u_prev, v_prev); project(u, v, u_prev, v_prev); diffuse(0, dens_prev, dens, 0.1); advect(0, dens, dens_prev, u, v); // Render the fluid const cellWidth = canvas.width / N; const cellHeight = canvas.height / N; ctx.clearRect(0, 0, canvas.width, canvas.height); for (let j = 0; j < N; j++) { for (let i = 0; i < N; i++) { const d = dens[i + j*N]; if (d > 0) { // Random color based on position and density const color = `hsl(${(i + j) % 360}, 100%, ${50 + d * 0.5}%)`; ctx.fillStyle = color; ctx.fillRect(i * cellWidth, j * cellHeight, cellWidth, cellHeight); } } } requestAnimationFrame(simulate); } // Start the simulation simulate(); </script> </body> </html> This app creates a full-screen fluid simulation where: - Dragging the mouse pushes fluid and injects colored dye. - The fluid swirls and diffuses realistically. - Colors are randomized for a psychedelic effect. You can open `index.html` in any modern browser to run it.
TAKE IT TO CODE
This run produced no artifact — reuse the prompt with a different model or your own pi-agent run.