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example.jl
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example.jl
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#-------- Add the package to the current path if not installed globally -------#
push!(LOAD_PATH,joinpath(pwd(),"src"))
#------------------------------------------------------------------------------#
using SOH # import the package
#-------- Model parameters ----------------------------------------------------#
# The coefficients are computed using the function `coefficients_Vicsek` in the
# script `toolbox.jl` for the Fokker-Planck and the BGK models.
κ = 5.0 # concentration parameter
c1,c2,λ = coefficients_Vicsek(κ)
#-------- Domain parameters ---------------------------------------------------#
# Rectangular domain of size Lx*Ly
Lx = 10.0
Ly = 10.0
# Boundary conditions (possible choices "periodic", "Neumann", "reflecting")
bcond_x = "reflecting"
bcond_y = "reflecting"
#-------- Numerical parameters ------------------------------------------------#
# Numer of cells and spatial step
ncellx = 400
ncelly = 400
Δx = Lx / ncellx
Δy = Ly / ncelly
# Time step
Δt = 0.01
# Final time
T = 100.
# Method ("Roe" or "HLLE")
method = "HLLE"
#-------- Exterior force ------------------------------------------------------#
# If no exterior force:
# Fx = nothing
# Fy = nothing
# Otherwise define the x and y components as (ncellx+2)*(ncelly+2) matrices.
# See the examples in the script `init.jl`
Fx, Fy = flat_quadratic_potential_force(ncellx,ncelly,Δx,Δy,Lx/3,5.)
#-------- Saving parameters ---------------------------------------------------#
should_save = false
simu_name = "simu"
should_plot = false
step_plot = 2 # A plot every `step_plot` iterations
save_video = true
#-------- Initial conditions --------------------------------------------------#
ρ,u,v = random_init(ncellx,ncelly,1.,0.,0.,2*pi,bcond_x=bcond_x,bcond_y=bcond_y)
#-------- Finally run the simulation ------------------------------------------#
run!(
ρ,u,v;
Lx=Lx,Ly=Ly,Δt=Δt,
c1=c1, c2=c2, λ=λ,
final_time=T,
bcond_x=bcond_x,bcond_y=bcond_y,
Fx=Fx,Fy=Fy,
method=method,
simu_name="simu",
should_save=should_save,save_step=1,
should_plot=should_plot,plot_step=2,
save_video=save_video,
range=(0.,5.),resolution=(800,600),theme="dark",fps=60
);