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<title>Fluid Simulation</title>
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<script id="2d-vertex-shader" type="x-shader/x-vertex">
attribute vec2 a_position;
void main() {
gl_Position = vec4(a_position, 0, 1);
}
</script>
<script id="2d-render-shader" type="x-shader/x-fragment">
precision mediump float;
//uniform sampler2D u_velocities;
//uniform vec2 u_textureSize;
void main() {
gl_FragColor = vec4(1, 0, 1, 1);
}
</script>
<script id="advectShader" type="x-shader/x-fragment">
precision mediump float;
//uniform sampler2D u_velocities;
//uniform sampler2D u_material;
//uniform vec2 u_textureSize;
//uniform float u_dt;
void main() {
//vec2 fragCoord = gl_FragCoord.xy;
//vec2 currentVelocity = texture2D(u_velocities, fragCoord/u_textureSize).xy;
//implicitly solve advection
//vec2 pos = fragCoord - u_dt * currentVelocity;
// bilinear interp between nearest cells
//gl_FragColor = texture2D(u_material, pos/u_textureSize);
gl_FragColor = vec4(1,1,1,1);
}
</script>
<script id="2d-fragment-shader" type="x-shader/x-fragment">
precision mediump float;
#define M_PI 3.1415926535897932384626433832795
//texture array
uniform sampler2D u_image;//u, v, --, -- = r, g, b, a
uniform vec2 u_textureSize;
uniform vec2 u_mouseCoord;
uniform float u_mouseEnable;
const float dt = 1.0;
void main() {
vec2 fragCoord = gl_FragCoord.xy;
vec2 currentState = texture2D(u_image, fragCoord/u_textureSize).xy;
float u = currentState.x;
float v = currentState.y;
vec2 n = texture2D(u_image, (fragCoord + vec2(0.0, 1.0))/u_textureSize).xy;//north
vec2 s = texture2D(u_image, (fragCoord + vec2(0.0, -1.0))/u_textureSize).xy;//south
vec2 e = texture2D(u_image, (fragCoord + vec2(-1.0, 0.0))/u_textureSize).xy;//east
vec2 w = texture2D(u_image, (fragCoord + vec2(1.0, 0.0))/u_textureSize).xy;//west
if (u_mouseEnable == 1.0){
vec2 pxDistFromMouse = (fragCoord - u_mouseCoord)*(fragCoord - u_mouseCoord);
float tol = 10.0;
if (length(pxDistFromMouse)<tol){
gl_FragColor = vec4(0.5, 0.35, 0, 1);
return;
}
}
gl_FragColor = vec4(0,0, 0, 1);
}
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<b>Fluid Simulation Shader</b><br/><br/>
I used the following sources to write this simulation:<br/><br/>
<a href="https://pdfs.semanticscholar.org/84b8/c7b7eecf90ebd9d54a51544ca0f8ff93c137.pdf" target="_blank">Real-time ink simulation using a grid-particle method</a> - a method for real-time simulation of ink
in water using a coarse-grained fluid simulation with a particle simulation on top.<br/>
<a href="http://http.developer.nvidia.com/GPUGems/gpugems_ch38.html" target="_blank">Fast Fluid Dynamics Simulation on the GPU</a> - a very well written tutorial about programming the Navier-Stokes equations on a GPU.<br/>
<a href="http://www.dgp.toronto.edu/people/stam/reality/Research/pdf/ns.pdf" target="_blank">Stable Fluids</a> - a paper about stable numerical methods for evaluating Navier-Stokes on a discrete grid.<br/>
<br/>
By <a href="http://www.amandaghassaei.com/" target="_blank">Amanda Ghassaei</a>, code on <a href="https://github.com/amandaghassaei/FluidSimulation" target="_blank">Github</a>.
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