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static const std::string COLLIDE_SHADER_CODE = R"(
#version 430
layout (local_size_x = 1, local_size_y = 1) in;
layout (std430, binding=1) buffer bufferCollide{ float collideCells[]; };
layout (std430, binding=2) buffer bufferStream{ float streamCells[]; };
layout (std430, binding=3) buffer bufferFluid{ float fluidCells[]; };
/// external influence
uniform int mouseState;
uniform vec2 mousePos;
/// LBM constants
uniform uint nX;
uniform uint nY;
const uint q = 9;
const float weight[q] = float[](
1./36., 1./9., 1./36.,
1./9. , 4./9., 1./9. ,
1./36 , 1./9., 1./36.
);
const float tau = 0.8;
const float omega = 1/tau;
/// Vector utilities
float comp(int i, int j, vec2 v) {
return i*v.x + j*v.y;
}
float sq(float x) {
return x*x;
}
float norm(vec2 v) {
return sqrt(sq(v.x)+sq(v.y));
}
/// Array indexing
uint indexOfDirection(int i, int j) {
return 3*(j+1) + (i+1);
}
uint indexOfLatticeCell(uint x, uint y) {
return q*nX*y + q*x;
}
uint indexOfFluidVertex(uint x, uint y) {
return 3*nX*y + 3*x;
}
/// Data access
float w(int i, int j) {
return weight[indexOfDirection(i,j)];
}
float get(uint x, uint y, int i, int j) {
return collideCells[indexOfLatticeCell(x,y) + indexOfDirection(i,j)];
}
void set(uint x, uint y, int i, int j, float v) {
collideCells[indexOfLatticeCell(x,y) + indexOfDirection(i,j)] = v;
}
void setFluid(uint x, uint y, vec2 v, float d) {
const uint idx = indexOfFluidVertex(x, y);
fluidCells[idx + 0] = v.x;
fluidCells[idx + 1] = v.y;
fluidCells[idx + 2] = d;
}
/// Moments
float density(uint x, uint y) {
const uint idx = indexOfLatticeCell(x, y);
float d = 0.;
for ( int i = 0; i < q; ++i ) {
d += collideCells[idx + i];
}
return d;
}
vec2 velocity(uint x, uint y, float d) {
return 1./d * vec2(
get(x,y, 1, 0) - get(x,y,-1, 0) + get(x,y, 1, 1) - get(x,y,-1,-1) + get(x,y, 1,-1) - get(x,y,-1,1),
get(x,y, 0, 1) - get(x,y, 0,-1) + get(x,y, 1, 1) - get(x,y,-1,-1) - get(x,y, 1,-1) + get(x,y,-1,1)
);
}
/// Equilibrium distribution
float equilibrium(float d, vec2 v, int i, int j) {
return w(i,j) * d * (1 + 3*comp(i,j,v) + 4.5*sq(comp(i,j,v)) - 1.5*sq(norm(v)));
}
/// Determine external influence
float getExternalPressureInflux(uint x, uint y) {
if ( mouseState == 1 && norm(vec2(x,y) - mousePos) < 4 ) {
return 1.5;
} else {
return 0.0;
}
}
/// Actual collide kernel
void main() {
const uint x = gl_GlobalInvocationID.x;
const uint y = gl_GlobalInvocationID.y;
if ( !(x < nX && y < nY) ) {
return;
}
const float d = max(getExternalPressureInflux(x,y), density(x,y));
const vec2 v = velocity(x,y,d);
setFluid(x,y,v,d);
for ( int i = -1; i <= 1; ++i ) {
for ( int j = -1; j <= 1; ++j ) {
set(x,y,i,j, get(x,y,i,j) + omega * (equilibrium(d,v,i,j) - get(x,y,i,j)));
}
}
}
)";
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