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fluid_dynamics.html
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<!DOCTYPE html>
<html>
<head>
<script language="javascript" type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/0.8.0/p5.js"></script>
<script language="javascript" type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/0.8.0/addons/p5.dom.js"></script>
<!-- https://github.com/CodingTrain/QuadTree-->
<script language="javascript" type="text/javascript" src="https://cdn.jsdelivr.net/gh/CodingTrain/QuadTree/quadtree.js"></script>
<style>
body {
padding: 0;
margin: 0;
}
input[type=range] {
-webkit-appearance: none;
width: 100%;
margin: 4.15px 0;
}
input[type=range]:focus {
outline: none;
}
input[type=range]::-webkit-slider-runnable-track {
width: 100%;
height: 6.7px;
cursor: pointer;
box-shadow: 1px 1px 1px #000000, 0px 0px 1px #0d0d0d;
background: #ffffff;
border-radius: 1.3px;
border: 0.2px solid #010101;
}
input[type=range]::-webkit-slider-thumb {
box-shadow: 0.9px 0.9px 1px #000000, 0px 0px 0.9px #0d0d0d;
border: 1.1px solid #000000;
height: 15px;
width: 40px;
border-radius: 50px;
background: red;
cursor: pointer;
-webkit-appearance: none;
margin-top: -4.35px;
}
input[type=range]:focus::-webkit-slider-runnable-track {
background: #ffffff;
}
</style>
</head>
<body>
<script>
let numParticles = 100;
let particles = [];
let target, vel, sliderAcc, sliderVel, sliderMassP, sliderG, sliderU, sliderD;
let collisionsPP = 0;
let collisionsPT = 0;
let collisionsPW = 0;
let stopVal = 50;
function setup() {
createCanvas(950, 600);
// frameRate(5);
sliderAcc = createSlider(0, 5, 2.6, 0.1);
sliderAcc.position(10, 5);
sliderAcc.style('width', '380px');
sliderVel = createSlider(0, 10, 3.6, 0.1);
sliderVel.position(10, 30);
sliderVel.style('width', '380px');
sliderMassP = createSlider(0.01, 5, 1, 0.01);
sliderMassP.position(10, 55);
sliderMassP.style('width', '380px');
sliderG = createSlider(0, 10, 5, 0.1);
sliderG.position(10, 85);
sliderG.style('width', '380px');
sliderU = createSlider(1000, 10000, 5000, 1);
sliderU.position(10, 115);
sliderU.style('width', '380px');
sliderD = createSlider(0, 1000, 50, 1);
sliderD.position(10, 145);
sliderD.style('width', '380px');
target = new Target(width / 6, height / 2, 30, 3000);
}
function draw() {
background(0);
const boundary = new Rectangle(width / 2, height / 2, width, height);
const capacity = 4;
const quadtree = new QuadTree(boundary, capacity);
vel = sliderVel.value();
acc = sliderAcc.value();
fill(255);
noStroke();
textSize(16);
text(`Acceleration: ${acc}`, 400, 17);
text(`Velocity: ${vel}`, 400, 42);
text(`Mass of particles: ${sliderMassP.value()}`, 400, 66);
text(`${sliderG.value()}`, 400, 96);
text(`${sliderU.value()}`, 400, 126);
text(`${sliderD.value()}`, 400, 156);
text(`${frameRate().toFixed(1)} fps`, 10, height - 70);
text(`frames: ${frameCount}`, 10, height - 50);
let flow = createVector(acc, 0);
collisionsPP = 0;
collisionsPT = 0;
collisionsPW = 0;
for (let p of particles) {
let point = new Point(p.pos.x, p.pos.y, p);
quadtree.insert(point);
let range = new Circle(p.pos.x, p.pos.y, p.r * 2);
let points = quadtree.query(range);
for (let pt of points) {
let other = pt.userData;
let intersects = p.intersects(other);
if (p !== other && intersects.check) {
p.collide(other, intersects.dist, intersects.minDist);
}
}
range = new Circle(p.pos.x, p.pos.y, p.r * 6);
points = quadtree.query(range);
for (let pt of points) {
let other = pt.userData;
let intersects = p.intersects(other);
if (p !== other && intersects.dist > p.r * 3) {
p.attract(other);
}
if (p !== other && intersects.dist <= p.r * 3) {
p.repuls(other);
}
}
if (p.pos.y <= height / 2) {
p.applyForce(flow.setMag(map(p.pos.y, 200, height / 2, 0.1, acc)));
} else {
p.applyForce(flow.setMag(map(p.pos.y, height / 2, height - 200, acc, 0.1)));
}
// p.applyForce(flow);
p.update();
p.collideTarget(target);
p.edges();
p.show();
}
for (let i = 0; i < numParticles; i++) {
let x = random(-100, -50);
let y = random(200, height - 200);
let vx = random(-vel, vel);
let vy = random(-vel / 2, vel / 2);
particles.push(new Particles(x, y, 1, sliderMassP.value(), vx, vy));
}
// Target
target.show();
// noFill();
// stroke(color('lime'));
//
// // rectMode(CENTER);
// // let rangeSampler = new Rectangle(mouseX, mouseY, 25, 25);
//
// let rangeSampler = new Circle(mouseX, mouseY, 25);
//
// if (mouseX < width && mouseY < height) {
// // rect(rangeSampler.x, rangeSampler.y, rangeSampler.w * 2, rangeSampler.h * 2);
// circle(rangeSampler.x, rangeSampler.y, 25 * 2);
//
// let points = quadtree.query(rangeSampler);
//
// // noStroke();
// // fill(255);
// // text(`Count sample: ${points.length}`, 10, height - 30);
//
// for (let p of points) {
// strokeWeight(4);
// point(p.x, p.y);
//
// // console.log(p.userData)
// }
// }
noStroke();
fill(255);
text(`particles: ${particles.length}`, 10, height - 30);
text(`collisions particle/target: ${collisionsPT}`, width - 230, height - 70);
text(`collisions particle/particle: ${collisionsPP}`, width - 230, height - 50);
text(`collisions particle/wall: ${collisionsPW}`, width - 230, height - 30);
// Walls
stroke(255);
strokeWeight(2);
noFill();
line(0, 200, width, 200)
line(0, height - 200, width, height - 200)
// if (frameCount > stopVal) {
// noLoop();
// }
}
class Particles {
constructor(x, y, r, m, vx, vy) {
this.pos = createVector(x, y);
this.vel = createVector(vx, vy);
this.acc = createVector(0, 0);
this.mass = m;
this.r = r;
}
drawArrow(showColor, size, f) {
if (f.x != 0 || f.y != 0) {
push();
stroke(color(showColor));
fill(color(showColor));
translate(this.pos.x, this.pos.y);
line(0, 0, f.x * size, f.y * size);
rotate(f.heading());
translate(f.mag() * size, 0);
let arrowSize = 1;
triangle(0, arrowSize / 2, 0, -arrowSize / 2, arrowSize, 0);
pop();
}
}
applyForce(force) {
let f = p5.Vector.div(force, this.mass);
this.acc.add(f);
}
update() {
this.vel.add(this.acc);
this.pos.add(this.vel);
this.acc.set(0, 0);
// if (this.vel.x !== 0 || this.vel.y !== 0 && this.vel.y !== 1) {
// this.drawArrow('#ffff33', 1, this.vel);
// }
}
edges() {
if (this.pos.x < -150 || this.pos.x > width) {
particles.splice(particles.indexOf(this), 1);
}
if (this.pos.y <= 170 + this.r || this.pos.y >= height - 170 - this.r) {
particles.splice(particles.indexOf(this), 1);
}
if (this.pos.y <= 200 + this.r || this.pos.y >= height - 200 - this.r) {
this.vel.y = -this.vel.y
collisionsPW++;
}
if (this.pos.y > height - 200 - this.r) {
this.pos.y = height - 200 - this.r;
}
if (this.pos.y < 200 + this.r) {
this.pos.y = 200 + this.r;
}
}
collideTarget(target) {
let minDist = target.r + this.r;
if (this.pos.x + minDist > target.pos.x &&
this.pos.x < target.pos.x + minDist &&
this.pos.y + minDist > target.pos.y &&
this.pos.y < target.pos.y + minDist) {
let distance = dist(this.pos.x, this.pos.y, target.pos.x, target.pos.y);
if (distance <= minDist) {
let overlap = 0.5 * (distance - this.r - target.r);
this.pos.x -= overlap * (this.pos.x - target.pos.x) / distance;
this.pos.y -= overlap * (this.pos.y - target.pos.y) / distance;
let dx = target.pos.x - this.pos.x;
let dy = target.pos.y - this.pos.y;
let nx = dx / minDist;
let ny = dy / minDist;
let p = 2 * (nx * this.vel.x + ny * this.vel.y) / (this.mass + target.mass);
this.vel.x -= p * target.mass * nx;
this.vel.y -= p * target.mass * ny;
this.vel.limit(vel)
collisionsPT++;
}
}
}
collide(other, distance, minDist) {
let overlap = 0.5 * (distance - this.r - other.r);
this.pos.x -= overlap * (this.pos.x - other.pos.x) / distance;
this.pos.y -= overlap * (this.pos.y - other.pos.y) / distance;
other.pos.x += overlap * (this.pos.x - other.pos.x) / distance;
other.pos.y += overlap * (this.pos.y - other.pos.y) / distance;
let dx = other.pos.x - this.pos.x;
let dy = other.pos.y - this.pos.y;
let dvx = this.vel.x - other.vel.x;
let dvy = this.vel.y - other.vel.y;
let nx = dx / minDist;
let ny = dy / minDist;
let p = 2 * (nx * dvx + ny * dvy) / (this.mass + other.mass);
this.vel.x -= p * other.mass * nx;
this.vel.y -= p * other.mass * ny;
this.vel.limit(vel)
other.vel.x += p * this.mass * nx;
other.vel.y += p * this.mass * ny;
other.vel.limit(vel)
collisionsPP++;
}
intersects(other) {
let d = dist(this.pos.x, this.pos.y, other.pos.x, other.pos.y);
let minDist = this.r + other.r;
return {
dist: d,
minDist: minDist,
check: d < minDist
};
}
attract(other) {
let force = p5.Vector.sub(this.pos, other.pos);
let distanceSq = constrain(force.magSq(), sliderD.value(), sliderU.value());
let strength = sliderG.value() * (this.mass * other.mass) / distanceSq;
force.setMag(strength);
this.applyForce(force.copy().mult(-1));
other.applyForce(force);
}
repuls(other) {
let force = p5.Vector.sub(this.pos, other.pos);
let distanceSq = constrain(force.magSq(), sliderD.value(), sliderU.value());
let strength = sliderG.value() * (this.mass * other.mass) / distanceSq;
force.setMag(strength).mult(-1);
this.applyForce(force.copy().mult(-1));
other.applyForce(force);
}
show() {
noStroke();
// noFill();
fill(150);
ellipse(this.pos.x, this.pos.y, this.r * 2);
}
}
class Target {
constructor(x, y, r, m) {
this.pos = createVector(x, y);
this.mass = m;
this.r = r;
}
show() {
// noStroke();
stroke(255);
noFill();
// fill(200);
ellipse(this.pos.x, this.pos.y, this.r * 2);
}
}
</script>
</body>
</html>