x_source = numpy.loadtxt('resources\\NACA0012_x.txt')
y_source = numpy.loadtxt('resources\\NACA0012_y.txt')
strength_source = numpy.loadtxt('resources\\NACA0012_sigma.txt')
U = 1.0 # freestream
# computes stream-function and velocity field
psi, u, v = 0, 0, 0
for i in range(len(x_source)):
psi += pblocks.get_stream_function_source(strength_source[i], x_source[i], y_source[i], X, Y)
u_s, v_s = pblocks.get_velocity_source(strength_source[i], x_source[i], y_source[i], X, Y)
u += u_s
v += v_s
psi += pblocks.get_stream_function_freestream(U, 0., X, Y)
u_stream, v_stream = pblocks.get_velocity_freestream(U, 0., X, Y)
u += u_stream
v += v_stream
# computes the pressure coefficient field
cp = 1.0 - (u**2 + v**2)/U**2
##############################
# plotting the streamlines
size = 10
pyplot.figure(figsize=(size, (y_end-y_start)/(x_end-x_start)*size))
pyplot.xlabel('x', fontsize=16)
pyplot.ylabel('y', fontsize=16)
pyplot.xlim(x_start, x_end)
pyplot.ylim(y_start, y_end)
Z_c = Jouk_transform(c, Z)
X_c = Z_c.real
Y_c = Z_c.imag
# pyplot.scatter(X_c, Y_c, s=1)
# freestream
u_inf = 1.0
AoA = 20.0 / 180 * math.pi
# rotate mesh
Z_dash = rotate(xc, yc, AoA, Z)
X_dash = Z_dash.real
Y_dash = Z_dash.imag
# pyplot.scatter(X_dash, Y_dash, s=1)
psi_stream = pblocks.get_stream_function_freestream(u_inf, 0.0, X_dash, Y_dash)
u_stream, v_stream = pblocks.get_velocity_freestream(u_inf, 0.0, X_dash, Y_dash)
# dublet
strength = R ** 2 * u_inf * 2 * math.pi
print("strength = ", strength)
psi_dublet = pblocks.get_stream_function_doublet(strength, 0.0, 0.0, X_dash, Y_dash)
u_dublet, v_dublet = pblocks.get_velocity_doublet(strength, 0.0, 0.0, X_dash, Y_dash)
# vortex
gamma = 4 * math.pi * R * u_inf * math.sin(AoA)
print("gamma = ", gamma)
psi_vortex = pblocks.get_stream_function_vortex(gamma, 0, 0.0, X_dash, Y_dash)
u_vortex, v_vortex = pblocks.get_velocity_vortex(gamma, 0, 0.0, X_dash, Y_dash)
psi = psi_stream + psi_dublet + psi_vortex