mypde = LinearPDE(domain)
mypde.setValue(A=kro, Y=4. * 3.1415 * G * rho)
mypde.setValue(q=q, r=0)
mypde.setSymmetryOn()
sol = mypde.getSolution()
g_field = grad(sol) #The gravitational acceleration g.
g_fieldz = g_field * [0, 1] #The vertical component of the g field.
gz = length(g_fieldz) #The magnitude of the vertical component.
# Save the output to file.
saveVTK(os.path.join(save_path,"ex10a.vtu"),\
grav_pot=sol,g_field=g_field,g_fieldz=g_fieldz,gz=gz)
##################################################REGRIDDING & PLOTTING
xi, yi, zi = toRegGrid(sol, nx=50, ny=50)
pl.matplotlib.pyplot.autumn()
pl.contourf(xi, yi, zi, 10)
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.savefig(os.path.join(save_path, "Ucontour.png"))
print("Solution has been plotted ...")
cut = int(len(xi) // 2)
pl.clf()
r = np.linspace(
0.0000001, mx / 2, 100
) # starting point would be 0 but that would cause division by zero later
m = 2 * pl.pi * 10 * 10 * 200 * -G / (r * r)
d.setScriptFileName(os.path.join(save_path,"example05.geo"))
d.setMeshFileName(os.path.join(save_path,"example05.msh"))
domain=MakeDomain(d, optimizeLabeling=True)
print("Domain has been generated ...")
##############################################################SOLVE PDE
mypde=LinearPDE(domain)
mypde.getSolverOptions().setVerbosityOn()
mypde.setSymmetryOn()
kappa=Scalar(0,Function(domain))
kappa.setTaggedValue("top",2.0*W/m/K)
kappa.setTaggedValue("bottom",4.0*W/m/K)
mypde.setValue(A=kappa*kronecker(domain))
x=Solution(domain).getX()
mypde.setValue(q=whereZero(x[1]-sup(x[1])),r=Ttop)
qS=Scalar(0,FunctionOnBoundary(domain))
qS.setTaggedValue("linebottom",qin)
mypde.setValue(y=qS)
print("PDE has been generated ...")
###########################################################GET SOLUTION
T=mypde.getSolution()
print("PDE has been solved ...")
#######################################################################
xi, yi, zi = toRegGrid(T, nx=50, ny=50)
pl.matplotlib.pyplot.autumn()
pl.contourf(xi,yi,zi,10)
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.savefig(os.path.join(save_path,"Tcontour.png"))
print("Solution has been plotted ...")
kappa=Scalar(0,Function(domain))
kappa.setTaggedValue("top",2.0*W/m/K)
kappa.setTaggedValue("bottom",4.0*W/m/K)
mypde.setValue(A=kappa*kronecker(domain))
x=Solution(domain).getX()
mypde.setValue(q=whereZero(x[1]-sup(x[1])),r=Ttop)
qS=Scalar(0,FunctionOnBoundary(domain))
qS.setTaggedValue("linebottom",qin)
mypde.setValue(y=qS)
print("PDE has been generated ...")
###########################################################GET SOLUTION
T=mypde.getSolution()
print("PDE has been solved ...")
##################################################REGRIDDING & PLOTTING
xi, yi, zi = toRegGrid(T, nx=50, ny=50)
pl.matplotlib.pyplot.autumn()
pl.contourf(xi,yi,zi,10)
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.savefig(os.path.join(save_path,"Tcontour.png"))
print("Solution has been plotted ...")
##########################################################VISUALISATION
# calculate gradient of solution for quiver plot
#Projector is used to smooth the data.
proj=Projector(domain)
#move data to a regular grid for plotting
xi,yi,zi = toRegGrid(T,200,200)
cut=int(len(xi)//2)
pl.clf()
pl.plot(zi[:,cut],yi)
# Create a Design which can make the mesh
d = Design(dim=2, element_size=200 * m)
# Add the subdomains and flux boundaries.
d.addItems(rec, PropertySet("linebottom", l12))
d.addItems(l01, l23, l30) # just in case we need them
#############################################MAKE THE DOMAIN
domain = MakeDomain(d, optimizeLabeling=True)
print("Domain has been generated ...")
##############################################################SOLVE PDE
mypde = LinearPDE(domain)
mypde.getSolverOptions().setVerbosityOn()
mypde.setSymmetryOn()
mypde.setValue(A=kappa * kronecker(domain))
x = Solution(domain).getX()
mypde.setValue(q=whereZero(x[1] - sup(x[1])), r=Ttop)
qS = Scalar(0, FunctionOnBoundary(domain))
qS.setTaggedValue("linebottom", qin)
mypde.setValue(y=-qS)
print("PDE has been generated ...")
###########################################################GET SOLUTION
T = mypde.getSolution()
print("PDE has been solved ...")
###########################################################
xi, yi, zi = toRegGrid(T, nx=50, ny=50)
pl.matplotlib.pyplot.autumn()
pl.contourf(xi, yi, zi, 10)
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.savefig(os.path.join(save_path, "example04.png"))
print("Solution has been plotted ...")
mypde.setValue(A=kro,Y=4.*3.1415*G*rho)
mypde.setValue(q=q,r=0)
mypde.setSymmetryOn()
sol=mypde.getSolution()
g_field=grad(sol) #The gravitational acceleration g.
g_fieldz=g_field*[0,1] #The vertical component of the g field.
gz=length(g_fieldz) #The magnitude of the vertical component.
# Save the output to file.
saveVTK(os.path.join(save_path,"ex10a.vtu"),\
grav_pot=sol,g_field=g_field,g_fieldz=g_fieldz,gz=gz)
##################################################REGRIDDING & PLOTTING
xi, yi, zi = toRegGrid(sol, nx=50, ny=50)
pl.matplotlib.pyplot.autumn()
pl.contourf(xi,yi,zi,10)
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.savefig(os.path.join(save_path,"Ucontour.png"))
print("Solution has been plotted ...")
cut=int(len(xi)//2)
pl.clf()
r=np.linspace(0.0000001,mx/2,100) # starting point would be 0 but that would cause division by zero later
m=2*pl.pi*10*10*200*-G/(r*r)
pl.plot(xi,zi[:,cut])
kappa=Scalar(0,Function(domain))
kappa.setTaggedValue("top",2.0*W/m/K)
kappa.setTaggedValue("bottom",4.0*W/m/K)
mypde.setValue(A=kappa*kronecker(domain))
x=Solution(domain).getX()
mypde.setValue(q=whereZero(x[1]-sup(x[1])),r=Ttop)
qS=Scalar(0,FunctionOnBoundary(domain))
qS.setTaggedValue("linebottom",qin)
mypde.setValue(y=qS)
print("PDE has been generated ...")
###########################################################GET SOLUTION
T=mypde.getSolution()
print("PDE has been solved ...")
##################################################REGRIDDING & PLOTTING
xi, yi, zi = toRegGrid(T, nx=50, ny=50)
pl.matplotlib.pyplot.autumn()
pl.contourf(xi,yi,zi,10)
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.savefig(os.path.join(save_path,"Tcontour.png"))
print("Solution has been plotted ...")
##########################################################VISUALISATION
# calculate gradient of solution for quiver plot
#Projector is used to smooth the data.
proj=Projector(domain)
#move data to a regular grid for plotting
xi,yi,zi = toRegGrid(T,200,200)
cut=int(len(xi)//2)
pl.clf()
pl.plot(zi[:,cut],yi)