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Voids ("bubbles") // nucleate at the distributor, GROW as they climb (diameter ∝ height^0.4, // the Darton bubble-growth relation used for real bubbling fluidized-bed // reactors), COALESCE when two touch, and BURST at the bed surface, // ejecting a few particles on a ballistic arc into the freeboard above. // Particles caught in a rising bubble's wake drift down and brighten // (circulation), matching the real observation that bed solids trail // bubbles rather than free-falling independently. // // This is deliberately NOT a Navier-Stokes fluid field (dye-whorl) and NOT // a fixed-lattice front-propagation graph (background-capillary-wick): the // bed is a dense but ordinary particle grid, and the only moving primitives // are a small population of bubbles (SDF circles) that grow, merge and pop. // Particles never have persistent velocity state of their own — their // on-screen offset and brightness are read live off the nearest bubble each // frame, which keeps the whole sim O(particles * active_bubbles) with a // bubble population capped low (~40) rather than needing a real N-body pass. // // ALIVE AT REST BY CONSTRUCTION: nucleation is a Poisson process that never // stops, so there is no saturated end state — every bubble present at mount // has burst and been replaced within a few seconds, forever. // // Tokens: --background clears the canvas and IS the void interior (a // bubble is drawn by simply not drawing particles inside it, plus a thin // --ns-muted rim so it still reads as a delineated void rather than a gap // in the field). --ns-muted is the resting particle color; particles // brighten toward --foreground only while inside a bubble's wake band or // under active ejecta/pointer agitation. --ns-accent never appears — a // resting bed has no interaction chrome to speak of. // --------------------------------------------------------------------------- function mulberry32(seed: number) { let a = seed >>> 0; return () => { a |= 0; a = (a + 0x6d2b79f5) | 0; let t = Math.imul(a ^ (a >>> 15), 1 | a); t = (t + Math.imul(t ^ (t >>> 7), 61 | t)) ^ t; return ((t ^ (t >>> 14)) >>> 0) / 4294967296; }; } interface Bubble { x: number; cy: number; // center y, smaller = higher (closer to bed surface) spawnCy: number; d: number; // current diameter, px } interface Crater { x: number; y: number; r: number; born: number; // sim time } interface Ejecta { x: number; y0: number; vx: number; vy0: number; born: number; life: number; // ms } const D0_FRAC = 0.03; // nucleation diameter, fraction of container height const DMAX_FRAC = 0.22; // burst-eligible cap, fraction of container height const GROWTH_EXP = 0.4; // Darton bubble-growth exponent const NUCLEATE_RATE_PER_100PX = 2.2; // bubbles/s per 100px of container width const WAKE_BAND_FACTOR = 1.55; // wake band radius = bubble radius * this const WAKE_DRAG = 0.6; // particle wake drift = 0.6 * local bubble rise speed const MID_CROSS_S = 3.2; // s for a diameter=DMAX*0.5 bubble to cross the bed const CRATER_FADE_MS = 480; const EJECTA_GRAVITY = 2600; // px/s^2 const EJECTA_MIN_MS = 220; const EJECTA_MAX_MS = 380; const FREEBOARD_FRAC = 0.1; // fraction of container height reserved above the bed const MAX_PARTICLES = 6000; const MAX_BUBBLES = 40; const POINTER_RADIUS_FACTOR = 0.18; // of min(width,height) const POINTER_DECAY_MS = 600; const WARM_STEPS = 220; const WARM_DT = 1 / 30; export interface BedFluidizeProps { /** particle grid pitch, fraction of the container's smaller dimension. @default 1/60 */ pitchRatio?: number; /** freeze the field at its warm-start frame. @default false */ paused?: boolean; children?: ReactNode; className?: string; style?: CSSProperties; } export function BedFluidize({ pitchRatio = 1 / 60, paused = false, children, className = "", style, }: BedFluidizeProps) { const rootRef = useRef(null); const canvasRef = useRef(null); useEffect(() => { const root = rootRef.current; const canvas = canvasRef.current; if (!root || !canvas) return; const ctx = canvas.getContext("2d"); if (!ctx) return; const reduced = window.matchMedia("(prefers-reduced-motion: reduce)").matches; // token fields start empty and are only ever assigned from // getComputedStyle — nothing here has a literal color fallback. Every // path that could paint (ResizeObserver, IntersectionObserver, the // reduced-motion branch) is gated behind `ready`, set only after the // first token read. let bg = ""; let muted = ""; let fg = ""; const readTokens = () => { const cs = getComputedStyle(document.documentElement); bg = cs.getPropertyValue("--background").trim(); muted = cs.getPropertyValue("--ns-muted").trim(); fg = cs.getPropertyValue("--foreground").trim(); }; let dpr = 1; let width = 0; let height = 0; let bedTopY = 0; let bedBottomY = 0; let bedHeightPx = 0; let d0Px = 0; let dMaxPx = 0; let growthK = 0; let riseCoeff = 0; let nucleateRate = 0; // bubbles/s let cellPx = 12; let sized = false; let ready = false; let disposed = false; let visible = true; let raf = 0; let last = 0; let simTime = 0; let nextNucleate = 0; const rand = mulberry32(0x51ed270b); let baseX: Float32Array = new Float32Array(0); let baseY: Float32Array = new Float32Array(0); let particleCount = 0; let bubbles: Bubble[] = []; let craters: Crater[] = []; let ejecta: Ejecta[] = []; let pointerActive = false; let pointerX = 0; let pointerY = 0; let pointerBoost = 0; // 0..1, eases toward pointerActive target const buildField = () => { const minDim = Math.min(width, height); bedTopY = height * FREEBOARD_FRAC; bedBottomY = height * 0.98; bedHeightPx = Math.max(1, bedBottomY - bedTopY); d0Px = Math.max(2, height * D0_FRAC); dMaxPx = Math.max(d0Px + 1, height * DMAX_FRAC); growthK = (dMaxPx - d0Px) / Math.pow(bedHeightPx, GROWTH_EXP); const midD = dMaxPx * 0.5; const midRise = bedHeightPx / MID_CROSS_S; riseCoeff = midRise / Math.sqrt(midD); nucleateRate = (width / 100) * NUCLEATE_RATE_PER_100PX; cellPx = Math.max(6, minDim * pitchRatio); let cols = Math.max(4, Math.ceil(width / cellPx)); let rows = Math.max(4, Math.ceil(bedHeightPx / cellPx)); if (cols * rows > MAX_PARTICLES) { const scale = Math.sqrt((cols * rows) / MAX_PARTICLES); cellPx *= scale; cols = Math.max(4, Math.ceil(width / cellPx)); rows = Math.max(4, Math.ceil(bedHeightPx / cellPx)); } particleCount = cols * rows; baseX = new Float32Array(particleCount); baseY = new Float32Array(particleCount); let i = 0; for (let r = 0; r < rows; r++) { for (let c = 0; c < cols; c++) { const jx = (rand() - 0.5) * cellPx * 0.6; const jy = (rand() - 0.5) * cellPx * 0.6; baseX[i] = c * cellPx + cellPx / 2 + jx; baseY[i] = bedTopY + r * cellPx + cellPx / 2 + jy; i++; } } bubbles = []; craters = []; ejecta = []; simTime = 0; nextNucleate = 0; }; const nucleate = () => { if (bubbles.length >= MAX_BUBBLES) return; let x = rand() * width; // pointer locally raises the odds a fresh bubble nucleates near it — // a real fluidized-bed behavior (local gas maldistribution under a // disturbance), not a cosmetic pointer trail. if (pointerBoost > 0.05 && rand() < pointerBoost * 0.7) { const radius = Math.min(width, height) * POINTER_RADIUS_FACTOR; x = pointerX + (rand() - 0.5) * radius * 2; x = Math.max(0, Math.min(width, x)); } bubbles.push({ x, cy: bedBottomY, spawnCy: bedBottomY, d: d0Px }); }; const burst = (b: Bubble) => { craters.push({ x: b.x, y: bedTopY, r: b.d * 0.5, born: simTime }); const n = 3 + Math.floor(rand() * 4); // 3..6 for (let k = 0; k < n; k++) { const life = EJECTA_MIN_MS + rand() * (EJECTA_MAX_MS - EJECTA_MIN_MS); const vx = (rand() - 0.5) * (b.d * 2.2); const vy0 = (EJECTA_GRAVITY * (life / 1000)) / 2; // returns to y0 at t=life ejecta.push({ x: b.x + (rand() - 0.5) * b.d * 0.4, y0: bedTopY, vx, vy0, born: simTime, life, }); } }; const step = (dt: number) => { simTime += dt * 1000; const dtS = dt; if (!paused) { pointerBoost += ((pointerActive ? 1 : 0) - pointerBoost) * Math.min(1, dt * (1000 / POINTER_DECAY_MS) * 2.2); } const rateNow = nucleateRate * (1 + pointerBoost * 0.5); nextNucleate -= dtS * rateNow; while (nextNucleate <= 0) { nucleate(); // exponential inter-arrival keeps this a genuine Poisson process // rather than a fixed metronome tick nextNucleate += Math.max(0.05, -Math.log(1 - rand())); } for (const b of bubbles) { const climbed = Math.max(0, b.spawnCy - b.cy); b.d = Math.min(dMaxPx, d0Px + growthK * Math.pow(climbed, GROWTH_EXP)); const riseSpeed = riseCoeff * Math.sqrt(b.d); b.cy -= riseSpeed * dtS; } // coalescence: touching bubbles merge into one of combined area for (let i = 0; i < bubbles.length; i++) { for (let j = bubbles.length - 1; j > i; j--) { const a = bubbles[i]; const c = bubbles[j]; const dx = a.x - c.x; const dy = a.cy - c.cy; const dist = Math.hypot(dx, dy); if (dist < (a.d + c.d) * 0.42) { const areaA = a.d * a.d; const areaC = c.d * c.d; const total = areaA + areaC; a.x = (a.x * areaA + c.x * areaC) / total; a.cy = Math.min(a.cy, c.cy); // leading (higher) edge wins a.spawnCy = Math.max(a.spawnCy, c.spawnCy); a.d = Math.sqrt(areaA + areaC); bubbles.splice(j, 1); } } } bubbles = bubbles.filter((b) => { if (b.cy - b.d / 2 <= bedTopY) { burst(b); return false; } return true; }); craters = craters.filter((c) => simTime - c.born < CRATER_FADE_MS); ejecta = ejecta.filter((e) => simTime - e.born < e.life); }; const particleColorAt = (px: number, py: number) => { // returns null if the particle sits inside a bubble void (not drawn), // otherwise { alpha, mix } where mix 0=muted 1=foreground let mix = 0; for (let bi = 0; bi < bubbles.length; bi++) { const b = bubbles[bi]; if (Math.abs(px - b.x) > b.d * WAKE_BAND_FACTOR) continue; const dx = px - b.x; const dy = py - b.cy; const dist = Math.hypot(dx, dy); const r = b.d / 2; if (dist <= r) return null; // inside the void itself const wakeR = r * WAKE_BAND_FACTOR; if (dist < wakeR) { const t = 1 - (dist - r) / (wakeR - r); mix = Math.max(mix, t); } } if (pointerBoost > 0.02) { const radius = Math.min(width, height) * POINTER_RADIUS_FACTOR; const dist = Math.hypot(px - pointerX, py - pointerY); if (dist < radius) { mix = Math.max(mix, pointerBoost * (1 - dist / radius) * 0.8); } } return { mix }; }; const draw = () => { if (!sized) return; ctx.fillStyle = bg; ctx.fillRect(0, 0, width, height); // distributor plate baseline ctx.strokeStyle = muted; ctx.globalAlpha = 0.35; ctx.lineWidth = Math.max(1, height * 0.004); ctx.beginPath(); ctx.moveTo(0, bedBottomY); ctx.lineTo(width, bedBottomY); ctx.stroke(); const dotR = Math.max(0.9, cellPx * 0.16); for (let i = 0; i < particleCount; i++) { const px = baseX[i]; let py = baseY[i]; const c = particleColorAt(px, py); if (!c) continue; // wake circulation: particles near a bubble drift down and brighten for (let bi = 0; bi < bubbles.length; bi++) { const b = bubbles[bi]; if (Math.abs(px - b.x) > b.d * WAKE_BAND_FACTOR) continue; const r = b.d / 2; const dist = Math.hypot(px - b.x, py - b.cy); const wakeR = r * WAKE_BAND_FACTOR; if (dist >= r && dist < wakeR) { const riseSpeed = riseCoeff * Math.sqrt(b.d); const t = 1 - (dist - r) / (wakeR - r); py += t * WAKE_DRAG * riseSpeed * 0.05; } } ctx.globalAlpha = 0.4 + 0.6 * c.mix; ctx.fillStyle = c.mix > 0.5 ? fg : muted; ctx.beginPath(); ctx.arc(px, py, dotR, 0, Math.PI * 2); ctx.fill(); } // bubble rims — the void interior is just cleared background, the rim // is what keeps it legible as a delineated bubble rather than a hole // in the particle field ctx.strokeStyle = muted; ctx.lineWidth = Math.max(1, cellPx * 0.12); for (const b of bubbles) { ctx.globalAlpha = 0.5; ctx.beginPath(); ctx.arc(b.x, b.cy, b.d / 2, 0, Math.PI * 2); ctx.stroke(); } // bursting craters: fading rim at the bed surface for (const c of craters) { const age = simTime - c.born; const t = 1 - age / CRATER_FADE_MS; if (t <= 0) continue; ctx.globalAlpha = t * 0.4; ctx.strokeStyle = muted; ctx.lineWidth = Math.max(1, cellPx * 0.1); ctx.beginPath(); ctx.arc(c.x, c.y, c.r * (1 + (1 - t) * 0.8), 0, Math.PI * 2); ctx.stroke(); } // ejecta: ballistic specks under constant downward acceleration ctx.fillStyle = fg; for (const e of ejecta) { const age = (simTime - e.born) / 1000; const x = e.x + e.vx * age; const y = e.y0 - e.vy0 * age + 0.5 * EJECTA_GRAVITY * age * age; if (y > height) continue; const lifeT = 1 - (simTime - e.born) / e.life; ctx.globalAlpha = Math.max(0, lifeT) * 0.9; ctx.beginPath(); ctx.arc(x, y, dotR * 1.1, 0, Math.PI * 2); ctx.fill(); } ctx.globalAlpha = 1; }; // reduced-motion / paused: one deliberately-chosen static frame showing // nucleation, growth and a fresh burst all at once — never the bare // t=0 flat-floor state. Named FREEZE_PHASE = mid-rise-with-recent-burst. const drawStaticFreeze = () => { if (!sized) return; bubbles = [ { x: width * 0.18, cy: bedBottomY - bedHeightPx * 0.08, spawnCy: bedBottomY, d: d0Px * 1.3 }, { x: width * 0.5, cy: bedBottomY - bedHeightPx * 0.6, spawnCy: bedBottomY, d: dMaxPx * 0.55 }, { x: width * 0.72, cy: bedBottomY - bedHeightPx * 0.32, spawnCy: bedBottomY, d: dMaxPx * 0.32 }, { x: width * 0.85, cy: bedBottomY - bedHeightPx * 0.15, spawnCy: bedBottomY, d: d0Px * 1.8 }, ]; craters = [{ x: width * 0.36, y: bedTopY, r: dMaxPx * 0.3, born: CRATER_FADE_MS * 0.4 }]; simTime = CRATER_FADE_MS * 0.4; ejecta = []; pointerBoost = 0; draw(); }; const resize = () => { const rect = root.getBoundingClientRect(); const w = Math.round(rect.width); const h = Math.round(rect.height); if (w < 2 || h < 2) { sized = false; return; } width = w; height = h; dpr = Math.min(window.devicePixelRatio || 1, 2); canvas.width = Math.max(1, Math.round(width * dpr)); canvas.height = Math.max(1, Math.round(height * dpr)); ctx.setTransform(dpr, 0, 0, dpr, 0, 0); buildField(); sized = true; }; const warmStart = () => { for (let i = 0; i < WARM_STEPS; i++) step(WARM_DT); }; const loop = (now: number) => { if (!visible) return; const dt = last ? Math.min(0.05, (now - last) / 1000) : 1 / 60; last = now; step(dt); draw(); raf = requestAnimationFrame(loop); }; let resizeTimer: ReturnType | null = null; const onResize = () => { if (resizeTimer) clearTimeout(resizeTimer); resizeTimer = setTimeout(() => { resizeTimer = null; resize(); if (!sized) return; if (reduced || paused) { drawStaticFreeze(); } else { warmStart(); ready = true; draw(); if (visible && !raf) { last = 0; raf = requestAnimationFrame(loop); } } }, 150); }; const ro = new ResizeObserver(onResize); ro.observe(root); const io = new IntersectionObserver( (entries) => { visible = entries[0]?.isIntersecting ?? true; if (visible && ready && !reduced && !paused) { last = 0; raf = requestAnimationFrame(loop); } else { cancelAnimationFrame(raf); raf = 0; } }, { threshold: 0 } ); io.observe(root); const onVis = () => { if (document.hidden) { cancelAnimationFrame(raf); raf = 0; } else if (visible && ready && !reduced && !paused) { last = 0; raf = requestAnimationFrame(loop); } }; document.addEventListener("visibilitychange", onVis); const mo = new MutationObserver(() => { readTokens(); if (reduced || paused) drawStaticFreeze(); }); mo.observe(document.documentElement, { attributes: true, attributeFilter: ["class"] }); const onMove = (e: PointerEvent) => { if (e.pointerType === "touch") return; const rect = root.getBoundingClientRect(); pointerX = e.clientX - rect.left; pointerY = e.clientY - rect.top; pointerActive = true; }; const onLeave = (e: PointerEvent) => { if (e.pointerType === "touch") return; pointerActive = false; }; if (!reduced) { root.addEventListener("pointermove", onMove); root.addEventListener("pointerleave", onLeave); } document.fonts.ready.then(() => { if (disposed) return; readTokens(); resize(); if (!sized) { ready = true; return; } if (reduced || paused) { drawStaticFreeze(); ready = true; } else { warmStart(); ready = true; draw(); raf = requestAnimationFrame(loop); } }); return () => { disposed = true; cancelAnimationFrame(raf); if (resizeTimer) clearTimeout(resizeTimer); ro.disconnect(); io.disconnect(); mo.disconnect(); document.removeEventListener("visibilitychange", onVis); root.removeEventListener("pointermove", onMove); root.removeEventListener("pointerleave", onLeave); }; }, [pitchRatio, paused]); return (

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