8 7 GfsSimulation GfsBox GfsGEdge {} { # Stop the simulation at t = 15 Time { end = 15 } # Insert the solid boundary defined as x*x + y*y - 0.0625*0.0625 = 0 # (i.e. a cylinder of radius 0.0625 centered on the origin) Solid (x*x + y*y - 0.0625*0.0625) # Use an initial refinement of 6 levels (i.e. 2^6=64x64 for each # box) only around the solid boundary RefineSolid 6 # Add a passive tracer called T VariableTracer {} T # Set the initial x-component of the velocity to 1 Init {} { U = 1 } # Adapt the mesh using the vorticity criterion at every timestep # down to a maximum level of 6 and with a maximum tolerance of 1e-2 AdaptVorticity { istep = 1 } { maxlevel = 6 cmax = 1e-2 } # Adapt the mesh using the gradient criterion on variable T at # every timestep, down to a maximum level of 6 and with a maximum tolerance of 1e-2 AdaptGradient { istep = 1 } { maxlevel = 6 cmax = 1e-2 } T # Set a viscosity source term on the velocity vector # The Reynolds number is Re = D*U/Nu = 0.125*1/0.00078125 = 160 # where D is the cylinder diameter (as defined in cylinder.gts) SourceViscosity 0.00078125 # Balance the number of elements across parallel subdomains at every # timestep if the imbalance is larger than 0.1 (i.e. 10% difference # between the largest and smallest subdomains). EventBalance { istep = 1 } 0.1 # Writes the time and timestep every 10 timesteps on standard error OutputTime { istep = 10 } stderr # Writes the time and simulation balance every timestep in 'balance' OutputTime { istep = 1 } balance OutputBalance { istep = 1 } balance # Writes info about the convergence of the Poisson solver on standard error OutputProjectionStats { istep = 10 } stderr # Save MPEG movie using GfsView module GModule gfsview OutputView { step = 0.05 } { ppm2mpeg -s 800x100 > pid.mpg } { width = 1600 height = 200 } pid.gfv # Outputs profiling information at the end of the simulation to standard error OutputTiming { start = end } stderr # Generate graphics OutputSimulation { start = end } end.gfs EventScript { start = end } { echo "Save pid.eps { format = EPS width = 800 height = 100 line_width = 0.2 }" | \ gfsview-batch2D pid.gfv end.gfs awk '{ if ($1 == "step:") t = $4; else if ($1 == "domain") print t, 100.*($9/$3 - 1.), $3, $5, $9; }' < balance > balance1 cat <<EOF | gnuplot set term postscript eps lw 3 solid 20 colour set output 'balance.eps' set xlabel 'Time' set ylabel 'Number of elements per processor' set key bottom right plot 'balance1' u 1:3 w l t 'minimum', '' u 1:4 w l t 'average', '' u 1:5 w l t 'maximum' EOF } } GfsBox { # Left boundary on the leftmost box is: # Dirichlet U=1 for the x-component of the velocity # Dirichlet T = 1 if y < 0, 0 otherwise left = Boundary { BcDirichlet U 1 BcDirichlet T { return y < 0. ? 1. : 0.; } } } GfsBox {} GfsBox {} GfsBox {} GfsBox {} GfsBox {} GfsBox {} # Right boundary on the rightmost box is outflow GfsBox { right = BoundaryOutflow } # All the boxes are linked by left to right links 1 2 right 2 3 right 3 4 right 4 5 right 5 6 right 6 7 right 7 8 right