source: inundation/ga/storm_surge/analytical solutions/Analytical_solution_oblique_shock.py @ 1254

"""Example of shallow water wave equation
consisting of an asymetrical converging channel.

   Copyright 2005
   Christopher Zoppou, Stephen Roberts
   ANU
   
Specific methods pertaining to the 2D shallow water equation
are imported from shallow_water
for use with the generic finite volume framework

Conserved quantities are h, uh and vh stored as elements 0, 1 and 2 in the
numerical vector named conserved_quantities.
"""

#-------------------------------
# Set up path and import modules
# import visualise2_chris as visualise
# import Image, ImageGrab
import sys
from os import sep
sys.path.append('..'+sep+'pyvolution')

from shallow_water import Domain, Constant_height
from shallow_water import Transmissive_boundary, Reflective_boundary,\
     Dirichlet_boundary
from math import sqrt, cos, sin, pi
from mesh_factory import oblique

#--------------
# Define domain
n = 60
m = 80
leny = 30.
lenx = 40.
n = 50
m = 60
points, elements, boundary = oblique(m, n, lenx, leny)
domain = Domain(points, elements, boundary) 

#----------------
# Order of scheme
domain.default_order=1

#---------------------------------
# Store output format and location
domain.store = True
domain.format = "sww" #"sww" for NET.CDF binary format or "dat" for ASCII
domain.filename = "oblique_first_order"

#------------------------
# Visualization smoothing
domain.smooth=True

#--------------
# Set bed slope
def x_slope(x, y):
    return 0*x
domain.set_quantity('elevation', x_slope)

#-------------
# Set friction
domain.set_quantity('friction', 0.0)

#--------------------
# Boundary conditions
R = Reflective_boundary(domain)
T = Transmissive_boundary(domain)
D = Dirichlet_boundary([1.0, 8.57, 0.0])
domain.set_boundary({'left': D, 'right': T, 'top': R, 'bottom': R})

#------------------
# Initial condition
h = 0.5
domain.set_quantity('level', Constant_height(x_slope, h) )

#----------------------------------------------------------
# Decide which quantities are to be stored at each timestep
domain.quantities_to_be_stored = ['level', 'xmomentum', 'ymomentum']


#----------
# Evolution
import time
t0 = time.time()
for t in domain.evolve(yieldstep = 1.0, finaltime = 50):
    domain.write_time()
    
print 'That took %.2f seconds' %(time.time()-t0)

#-----------------------------------
#Save the last frame as an EPS file
#filename = 'ccube.eps'
#print 'Saving last frame in EPS format in ', filemame
#im = ImageGrab.grab()
#im.save(filename)