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[]; }; const float displayAmplifier = 10.; /// 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 x, int y, vec2 v) { return x*v.x + y*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] = float(x) - nX/2; fluidCells[idx + 1] = float(y) - nY/2; fluidCells[idx + 2] = displayAmplifier * norm(v); } /// Moments float density(uint x, uint y) { const uint idx = indexOfLatticeCell(x, y); return collideCells[idx + 0] + collideCells[idx + 1] + collideCells[idx + 2] + collideCells[idx + 3] + collideCells[idx + 4] + collideCells[idx + 5] + collideCells[idx + 6] + collideCells[idx + 7] + collideCells[idx + 8]; } 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) ); } /// Actual collide kernel void main() { const uint x = gl_GlobalInvocationID.x; const uint y = gl_GlobalInvocationID.y; const float d = 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 ) { const float eq = w(i,j) * d * (1 + 3*comp(i,j,v) + 4.5*sq(comp(i,j,v)) - 1.5*sq(norm(v))); set(x,y,i,j, get(x,y,i,j) + omega * (eq - get(x,y,i,j))); } } } )";