FluidX3D is the fastest and most memory efficient lattice Boltzmann CFD software, running on any GPU via OpenCL. Find the source code on GitHub.
- streaming (part 2/2):
f0temp(x,t) = f0(x, t)
fitemp(x,t) = f(t%2 ? i : (i%2 ? i+1 : i-1))(i%2 ? x : x-ei, t) for i ∈ [1, q-1]
ρ(x,t) = (Σi fitemp(x,t)) + 1
u(x,t) = 1∕ρ(x,t) Σi ci fitemp(x,t)
fieq-shifted(x,t) = wi ρ · ((u°ci)2∕(2c4) - (u°u)∕(2c2) + (u°ci)∕c2) + wi (ρ-1)
fitemp(x, t+Δt) = fitemp(x,t) + Ωi(fitemp(x,t), fieq-shifted(x,t), τ)
f0(x, t+Δt) = f0temp(x, t+Δt)
f(t%2 ? (i%2 ? i+1 : i-1) : i)(i%2 ? x+ei : x, t+Δt) = fitemp(x, t+Δt) for i ∈ [1, q-1]
In order to render an entire flow vector field with millions of lattice points, I rewrote my graphics engine Line3D in OpenCL. It is capable of rendering two billion lines per second. There is no faster graphics engine for primitive figures (dots, lines and circles) out on the internet.