def convergence():
f = open("sc.final.dat", "w")
f.write("k,N,e,ee,dofs\n")
points, weights = pu.cubequadrature(12)
up, ddup = pep.poisson(30, points[:,np.array([1,2])])
l2 = lambda f: math.sqrt(np.sum(f.flatten() **2 * weights.flatten()))
l2up = l2(up)
print l2up
# for N in range(2,15):
# for k in range(1,10):
for (k,N) in [(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(1,3),(2,3),(3,3),(4,3),(1,4),(2,4),(3,4),(1,5),(2,5),(1,6),(2,6),(1,7),(2,7),(1,8),(1,9),(1,10),(1,11)]:
meshevents = lambda m: pps.stokescubemesh(N, m)
u, dofs = pps.stokespressure(k,meshevents,{pps.inputbdytag:pps.pfn(-0.5), pps.outputbdytag:pps.pfn(0.5)}, points, True,N==1)
pt = points.transpose()
ut = u.transpose()
e = [l2(ut[0] - up)/l2up, l2(ut[1])/l2up, l2(ut[2])/l2up]
ee = math.sqrt(e[0]**2 + e[1]**2 + e[2]**2)
print k, N, e, ee, dofs
f.write("%s, %s, %s, %s, %s\n"%(k,N,e,ee, dofs))
f.flush()
# if dofs > 30000: break
f.close()
def crosssection(x, NP, k, N, pN):
points2 = pu.uniformsquarepoints(NP)
points3 = np.hstack((np.ones((NP*NP,1)) * x, points2))
meshevents = lambda m: pps.stokescubemesh(N, m)
u, p = pps.stokespressure(k,meshevents,{pps.inputbdytag:pps.pfn(0), pps.outputbdytag:pps.pfn(1.0)}, points3, False, N==1)
ur, _ = pep.poisson(pN, points2)
pp = points2.reshape(NP,NP,2).transpose(2,0,1)
mpl.figure(facecolor='white')
c = mpl.contour(pp[0], pp[1], u[:,0].reshape(NP,NP), fontsize=14)
mpl.clabel(c, inline=1, fontsize = 14)
mpl.figure(facecolor='white')
c = mpl.contourf(pp[0], pp[1], ur.reshape(NP,NP) - u[:,0].reshape(NP,NP), fontsize=14, colors = None, cmap=mpl.get_cmap('Greys'))
mpl.colorbar(c, shrink=0.8)
# mpl.clabel(c, inline=1, fontsize = 14)
mpl.figure(facecolor='white')
c = mpl.contourf(pp[0], pp[1], p.reshape(NP,NP), fontsize=14, colors = None, cmap=mpl.get_cmap('Greys'))
mpl.colorbar(c, shrink=0.8)
mpl.figure(facecolor='white')
c = mpl.contourf(pp[0], pp[1], p.reshape(NP,NP), fontsize=14, colors = None, cmap=mpl.get_cmap('Greys'))
mpl.colorbar(c, shrink=0.8)
# mpl.clabel(c, inline=1, fontsize = 14)
# mpl.show()
if __name__ == "__main__":
k = 4
N = 2
NP = 12
points = pu.uniformcubepoints(NP)
v = [[1,1,1]]
# v = [[0,0,0]]
meshevents = lambda m: pps.stokescubemesh(N, m)
# OT = 'obstructiontag'
# meshevents = lambda m: pps.cubeobstruction(m, OT)
mp = MeshPlotter()
meshevents(mp)
emm.figure(bgcolor=(1,1,1))
u, p = pps.stokespressure(k,meshevents,{pps.inputbdytag:pps.pfn(0), pps.outputbdytag:pps.pfn(1.0)}, points, False, N==1)
pt = points.reshape(NP,NP,NP,3).transpose((3,0,1,2))
ut = u.reshape(NP,NP,NP,3).transpose((3,0,1,2))
emm.quiver3d(pt[0],pt[1],pt[2], ut[0],ut[1],ut[2], opacity = 0.4)
# emm.flow(pt[0],pt[1],pt[2], ut[0],ut[1],ut[2], seedtype='plane', seed_resolution=10, seed_visible=True, scalars=p.reshape(NP,NP,NP))
mp.plot(emm.gcf())
mp.plotbdy(emm.gcf(), pps.closedbdytag)