source: branches/Numeric_anuga_validation/convergence_study/convergence_structured.py

"""Simple water flow example using ANUGA

Water driven up a linear slope and time varying boundary,
similar to a beach environment
"""

#------------------------------------------------------------------------------
# Import necessary modules
#------------------------------------------------------------------------------

import sys
from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross
from anuga.shallow_water import Domain
from anuga.shallow_water import Reflective_boundary
from anuga.shallow_water import Dirichlet_boundary
from anuga.shallow_water import Time_boundary
from anuga.shallow_water import Transmissive_boundary
from anuga.shallow_water import Transmissive_Momentum_Set_Stage_boundary
#from anuga.geospatial_data.geospatial_data import *
from math import cos
from Numeric import zeros, Float

#------------------------------------------------------------------------------
# Setup computational domain
#------------------------------------------------------------------------------
dx = 200.
dy = dx
L = 100000.
W = dx

# structured mesh
points, vertices, boundary = rectangular_cross(int(L/dx), int(W/dy), L, W, (0.0, -W/2))

domain = Domain(points, vertices, boundary) 

domain.set_timestepping_method('rk2')
domain.set_default_order(2)
domain.set_name('myexample9')                
domain.set_datadir('.')                     # Use current directory for output

domain.set_all_limiters(0.9)

print domain.beta_w
domain.use_old_limiter = False
domain.CFL = 1.0

#------------------------------------------------------------------------------
# Setup initial conditions
#------------------------------------------------------------------------------
#domain.set_quantity('elevation', topography) # Use function for elevation
domain.set_quantity('elevation',0.0)
domain.set_quantity('friction', 0.00)

h0 = 10.0
h1 = 1.0

def height(x,y):
    z = zeros(len(x),Float)
    for i in range(len(x)):
        if x[i]<=50000.0:
            z[i] = h0
        else:
            z[i] = h1
    return z


domain.set_quantity('stage', height)
#domain.set_quantity('stage', 0.0)            

#-----------------------------------------------------------------------------
# Setup boundary conditions
#------------------------------------------------------------------------------
from math import sin, pi, exp
Br = Reflective_boundary(domain)      # Solid reflective wall
Bt = Transmissive_boundary(domain)    # Continue all values on boundary 
Bd = Dirichlet_boundary([1,0.,0.]) # Constant boundary values
amplitude = 1
#Bw = Transmissive_Momentum_Set_Stage_boundary(domain=domain,
Bw = Time_boundary(domain=domain,     # Time dependent boundary  
## Sine wave
#                   f=lambda t: [(-amplitude*sin((1./300.)*t*2*pi)), 0.0, 0.0])
## Single wave
                   f=lambda t: [h0, 0.0, 0.0])
## Sawtooth?
#                   f=lambda t: [(-8.0*(sin((1./180.)*t*2*pi))+(1./2.)*sin((2./180.)*t*2*pi)+(1./3.)*sin((3./180.)*t*2*pi)), 0.0, 0.0])
## Sharp rise, linear fall
#                   f=lambda t: [(5.0*(-((t-0.)/300.)*(t<300.)-cos((t-300.)*2.*pi*(1./240.))*(t>=300. and t<420.)+(1.-(t-420.)/300.)*(t>=420. and t <720.))), 0.0, 0.0])
#                   f=lambda t: [amplitude*(1.-2.*(pi*(1./720.)*(t-720.))**2)/exp((pi*(1./720.)*(t-720.))**2) , 0.0, 0.0])
#                   f=lambda t: [(-8.0*sin((1./720.)*t*2*pi))*((t<720.)-0.5*(t<360.)), 0.0, 0.0])

# Associate boundary tags with boundary objects
domain.set_boundary({'left': Bw, 'right': Bt, 'top': Br, 'bottom': Br})


#===============================================================================
from anuga.visualiser import RealtimeVisualiser
vis = RealtimeVisualiser(domain)
#vis.render_quantity_height("elevation", zScale=1, offset = 5.0, dynamic=False)
vis.render_quantity_height("stage", zScale =10000, dynamic=True)
#vis.colour_height_quantity('stage', (lambda q:q['stage'], -1.0, 1.0))
vis.colour_height_quantity('stage', (1.0, 0.5, 0.5))
vis.start()
#===============================================================================


#------------------------------------------------------------------------------
# Evolve system through time
#------------------------------------------------------------------------------

for t in domain.evolve(yieldstep = 50.0, finaltime = 10*40*60.):
    domain.write_time()
    vis.update()
    
vis.evolveFinished()