import scipy.io as sio
import numpy as np
import matplotlib.pyplot as plt
plt.rcParams.update({'font.size': 22})
plt.interactive(True)

viscos=1.52e-5

xc=np.loadtxt("xc.dat")
yc=np.loadtxt("yc.dat")

i_lower_sym=20 # the flat plate starts at i=i_lower_sym+1
# boundary layer flow
data=np.genfromtxt("boundary_layer_data.dat", comments="%")

ni=252  # number of grid nodes in x_1 direction
nj=200  # number of grid nodes in x_2 direction

v1=data[:,0] #don't use this array
v2=data[:,1] #don't use this array
p=data[:,2]  #don't use this array

# transform the arrays from 1D fields x(n) to 2D fields x(i,j)
# the first index 'i', correponds to the x-direction
# the second index 'j', correponds to the y-direction

v1_2d=np.reshape(v1,(ni,nj)) #this is v_1 (streamwise velocity component)
v2_2d=np.reshape(v2,(ni,nj)) #this is v_1 (wall-normal velocity component)
p_2d=np.reshape(p,(ni,nj))   #this is p   (pressure)

#v1_2d=np.transpose(v1_2d)
#v2_2d=np.transpose(v2_2d)
#p_2d=np.transpose(p_2d)

# scale u and v with max u
for i in range (0,ni-1):
   v1_2d[i,:]=v1_2d[i,:]/max(v1_2d[i,:])
   v2_2d[i,:]=v2_2d[i,:]/max(v1_2d[i,:])


blasius=np.genfromtxt("blasius.dat", comments="%")
xi_blas=blasius[:,0]
g_blas=blasius[:,1]
u_blas=blasius[:,2]

#   a control volume, CV. 
#
#  xp(i), yp(j) denote the center of the, CV. u, v and p are stored at (xp,yp)
#
#  xc(i) yc(j) denote the corner (on the high side) of the CV
#
#
#   x-------------------------x  xc(i), yc(j)
#   |                         |
#   |                         |
#   |                         |
#   |                         |
#   |          o xp(i), yp(j) |
#   |                         |
#   |                         |
#   |                         |
#   |                         |
#   x-------------------------x
#
# compute xp
xp=np.zeros(ni)
xp[0]=xc[0]
for i in range (1,ni-1):
   xp[i]=0.5*(xc[i]+xc[i-1])

xp[ni-1]=xc[ni-2]

# compute yp
yp=np.zeros(nj)
yp[0]=yc[0]
for j in range (1,nj-1):
   yp[j]=0.5*(yc[j]+yc[j-1])

yp[nj-1]=yc[nj-2]
#
# make xp and yp 2D arrays
x1_2d=np.zeros((ni,nj))
x2_2d=np.zeros((ni,nj))
for i in range(0,ni-1):
   x2_2d[i,:]=yp

for j in range(0,nj-1):
   x1_2d[:,j]=xp

#
# compute the gradient dudx, dudy
dudx, dudy=np.gradient(v1_2d,xp,yp)





#************
# velocity profile plot
fig1,ax1 = plt.subplots()
plt.subplots_adjust(left=0.20,bottom=0.20)
i=170 # plot the velocity profile for i=170
plt.plot(v1_2d[i,:],x2_2d[i,:],'b-')
i=5 # plot the velocity profile for i=5
plt.plot(v1_2d[i,:],x2_2d[i,:],'r--')  #red dashed line
plt.title('Velocity profile')
plt.axis([0,1.1,0,0.05]) # set x & y axis
plt.xlabel('$V_1$') 
plt.ylabel('$x_2$') 
plt.text(0.04,0.04,'$x_1=0.14$ and $1.58$') # show this text at (0.04,0.04)
plt.savefig('velprof.eps')

################################ contour plot of v1
fig1,ax1 = plt.subplots()
plt.subplots_adjust(left=0.20,bottom=0.20)
plt.contourf(x1_2d,x2_2d,v1_2d, 50)
plt.xlabel("$x_1$")
plt.ylabel("$x_2$")
plt.clim(0.1,1.)
plt.title("contour pressure plot")
plt.axis('scaled')
plt.axis([0,0.1,0,0.1]) # zoom-in on the first 0.1m from the inlet
plt.title('$V_1$')
plt.savefig('v1_iso.eps')

################################ compute the velocity gradient dv_1/dx_2
fig1,ax1 = plt.subplots()
plt.subplots_adjust(left=0.20,bottom=0.20)
dv1_dx2=np.zeros((ni,nj))

i=170 # plot the velocity gradient for i=170
plt.plot(dudy[i,:],yp)
plt.axis([0,100,0,0.05]) # set x & y axis
plt.title('Velocity gradient')
plt.xlabel('$\partial v_1/\partial x_2$')
plt.ylabel('$x_2$') 
plt.text(-380,0.004,'$x_1=0.52$')
plt.savefig('v1_grad.eps')