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acoustic3D.jl
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acoustic3D.jl
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const USE_GPU = false # Use GPU? If this is set false, then no GPU needs to be available
using ParallelStencil
using ParallelStencil.FiniteDifferences3D
@static if USE_GPU
@init_parallel_stencil(CUDA, Float64, 3)
else
@init_parallel_stencil(Threads, Float64, 3)
end
using Plots, Printf, Statistics
@parallel function compute_V!(Vx::Data.Array, Vy::Data.Array, Vz::Data.Array, P::Data.Array, dt::Data.Number, ρ::Data.Number, dx::Data.Number, dy::Data.Number, dz::Data.Number)
@inn(Vx) = @inn(Vx) - dt/ρ*@d_xi(P)/dx
@inn(Vy) = @inn(Vy) - dt/ρ*@d_yi(P)/dy
@inn(Vz) = @inn(Vz) - dt/ρ*@d_zi(P)/dz
return
end
@parallel function compute_P!(P::Data.Array, Vx::Data.Array, Vy::Data.Array, Vz::Data.Array, dt::Data.Number, k::Data.Number, dx::Data.Number, dy::Data.Number, dz::Data.Number)
@all(P) = @all(P) - dt*k*(@d_xa(Vx)/dx + @d_ya(Vy)/dy + @d_za(Vz)/dz)
return
end
##################################################
@views function acoustic3D()
# Physics
lx, ly, lz = 40.0, 40.0, 40.0 # domain extends
k = 1.0 # bulk modulus
ρ = 1.0 # density
t = 0.0 # physical time
# Numerics
nx, ny, nz = 255, 255, 255 # numerical grid resolution; should be a mulitple of 32-1 for optimal GPU perf
nt = 1000 # number of timesteps
nout = 10 # plotting frequency
# Derived numerics
dx, dy, dz = lx/(nx-1), ly/(ny-1), lz/(nz-1) # cell sizes
# Array allocations
P = @zeros(nx ,ny ,nz )
Vx = @zeros(nx+1,ny ,nz )
Vy = @zeros(nx ,ny+1,nz )
Vz = @zeros(nx ,ny ,nz+1)
# Initial conditions
P .= Data.Array([exp(-((ix-1)*dx-0.5*lx)^2 -((iy-1)*dy-0.5*ly)^2 -((iz-1)*dz-0.5*lz)^2) for ix=1:size(P,1), iy=1:size(P,2), iz=1:size(P,3)])
dt = min(dx,dy,dz)/sqrt(k/ρ)/6.1
# Preparation of visualisation
ENV["GKSwstype"]="nul"; if isdir("viz3D_out")==false mkdir("viz3D_out") end; loadpath = "./viz3D_out/"; anim = Animation(loadpath,String[])
println("Animation directory: $(anim.dir)")
y_sl = Int(ceil(ny/2))
X, Y, Z = -lx/2:dx:lx/2, -ly/2:dy:ly/2, -lz/2:dz:lz/2
# Time loop
for it = 1:nt
if (it==11) global wtime0 = Base.time() end
@parallel compute_V!(Vx, Vy, Vz, P, dt, ρ, dx, dy, dz)
@parallel compute_P!(P, Vx, Vy, Vz, dt, k, dx, dy, dz)
t = t + dt
# Visualisation
if mod(it,nout)==0
heatmap(X, Z, Array(P)[:,y_sl,:]', aspect_ratio=1, xlims=(X[1],X[end]), ylims=(Z[1],Z[end]), c=:viridis, title="Pressure"); frame(anim)
end
end
# Performance
wtime = Base.time() - wtime0
A_eff = (4*2)/1e9*nx*ny*nz*sizeof(Data.Number) # Effective main memory access per iteration [GB] (Lower bound of required memory access: H and dHdτ have to be read and written (dHdτ for damping): 4 whole-array memaccess; B has to be read: 1 whole-array memaccess)
wtime_it = wtime/(nt-10) # Execution time per iteration [s]
T_eff = A_eff/wtime_it # Effective memory throughput [GB/s]
@printf("Total steps=%d, time=%1.3e sec (@ T_eff = %1.2f GB/s) \n", nt, wtime, round(T_eff, sigdigits=2))
gif(anim, "acoustic3D.gif", fps = 15)
return
end
acoustic3D()