source: anuga_work/development/MISG_2008/sensitivity_study.py @ 6823

"""Simple water flow example using ANUGA

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

Test case for MISG 2008, University of Wollongong
"""


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

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.pmesh.mesh_interface import create_mesh_from_regions

from Numeric import zeros, Float
from RandomArray import normal, seed

seed(13, 17) # Ensure random number sequence is reproducible

#------------------------------------------------------------------------------
# Setup computational domain
#------------------------------------------------------------------------------
y_extent=2000.0
bounding_polygon = [[0,0],[2000,0],[2000,2000],[0,2000]]
beach_polygon = [[5,900],[225,900],[225,1100],[5,1100]]
interior_regions = [[beach_polygon, 50]]
create_mesh_from_regions(bounding_polygon,
                         boundary_tags={'bottom':[0],
                                        'right':[1],
                                        'top':[2],
                                        'left':[3]},
                         maximum_triangle_area=2000,
                         interior_regions= interior_regions,
                         filename='misg.msh',
                         use_cache=False,
                         verbose=True)
domain = Domain('misg.msh',use_cache=False, verbose=True)


domain.set_name('sensitivity')              # Output to file runup.sww
domain.set_datadir('.')                     # Use current directory for output
domain.set_minimum_storable_height(0.01)

print 'number of elements: ', len(domain)

#------------------------------------------------------------------------------
# Setup initial conditions
#------------------------------------------------------------------------------

def topography(x,y):

    N = len(x)
    z = zeros(N, Float)
    
    for i in range(N):
        if x[i] <= (depth-c)/m:
            z[i] = m*x[i]+c
        else:
        # linear bed slope           
            #z[i] = slope*x[i] + depth-(slope)*(depth-c)/m
            z[i] = slope*x[i] + depth-(slope)*(depth-c)/m + 1.0*sin((x[i]-(depth-c)/m)/T) + 1.0*sin((y[i]-(depth-c)/m)/T)

            # IID noise
            #z[i] += normal(-100.0, 5.0)
        
    return z

#------------------------------------------------------------------------------
# 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([-0.2,0.,0.]) # Constant boundary values
Bw = Time_boundary(domain=domain,     # Time dependent boundary  
                   f=lambda t: [0.0, 0.0, 0.0])

from Numeric import zeros, Float, arange
start=-1.0/40.0
finish=-1.8/40.0
n_vec=arange(start,finish,-2.0/400.0)
N=len(n_vec)
#N=1 # use for 2.5% and 5% change tests
max0=zeros(N, Float)
max1=zeros(N, Float)
max2=zeros(N, Float)
max3=zeros(N, Float)
mmax0=zeros(N, Float)
mmax1=zeros(N, Float)
mmax2=zeros(N, Float)
mmax3=zeros(N, Float)
output_file ='misg_influence_data.csv'
domain.store=True
fid_out = open(output_file, 'w')
s = 'variable, h0, h1, h2, h3, v0, v1, v2, v3\n'
fid_out.write(s)

for i in range(N):
    manning = 0.01*1.0
    A=1.0*1.0
    w=1.0/100.0
    m=-1.0/20.0
    depth=-10.0
    c=10.0
    T=100.0*1.0
    #slope=-1.0/40.0*1.0
    slope = n_vec[i]

    var = slope
    domain.set_quantity('elevation', topography) # Use function for elevation
    domain.set_quantity('friction', manning)
    domain.set_quantity('stage', 0.0)            # Constant negative initial stage
    domain.set_quantity('xmomentum', 0.0) # Use function for elevation
    domain.set_quantity('ymomentum', 0.0) # Use function for elevation
    swwname = 'sensitivity_2d_wavey_bottom'#+str(i)
    domain.set_name(swwname)
    Btd = Transmissive_Momentum_Set_Stage_boundary(domain=domain,
                                                   function=lambda t: [(0<t<pi/w)*A*sin(w*t), 0.0, 0.0])
    domain.set_boundary({'left': Br, 'right': Btd, 'top': Br, 'bottom': Br})

    # locations to record wave height and velocity
    tri_id0 = domain.get_triangle_containing_point([-c/m,y_extent*0.5])
    tri_id1 = domain.get_triangle_containing_point([-c/m-10,y_extent*0.5])
    tri_id2 = domain.get_triangle_containing_point([-c/m-20,y_extent*0.5])
    tri_id3 = domain.get_triangle_containing_point([-c/m+50,y_extent*0.5])

    print 'hello', -c/m, -c/m-10, -c/m-20, -c/m+50
    
    stage_centroid     = domain.quantities['stage'].centroid_values
    xmom_centroid      = domain.quantities['xmomentum'].centroid_values
    elevation_centroid = domain.quantities['elevation'].centroid_values
    
    elev0 = elevation_centroid[tri_id0]
    elev1 = elevation_centroid[tri_id1]
    elev2 = elevation_centroid[tri_id2]
    elev3 = elevation_centroid[tri_id3]

    print 'hello again', elev0, elev1, elev2, elev3
    import time
    t0 = time.time()
    #------------------------------------------------------------------------------
    # Evolve system through time
    #------------------------------------------------------------------------------
    domain.time=0.0
    finaltime=4.0 #pi/w+150.0
    max=0
    for t in domain.evolve(yieldstep = 1.0, finaltime = finaltime):

        if  stage_centroid[tri_id0]-elev0>max0[i]: 
            max0[i]=stage_centroid[tri_id0]-elev0
        if  stage_centroid[tri_id1]-elev1>max1[i]:
            max1[i]=stage_centroid[tri_id1]-elev1
        if  stage_centroid[tri_id2]-elev2>max2[i]:
            max2[i]=stage_centroid[tri_id2]-elev2
        if  stage_centroid[tri_id3]-elev3>max3[i]:
            max3[i]=stage_centroid[tri_id3]-elev3
            
        if  abs(xmom_centroid[tri_id0])>mmax0[i]: 
            mmax0[i]=abs(xmom_centroid[tri_id0])
        if  abs(xmom_centroid[tri_id1])>mmax1[i]:
            mmax1[i]=abs(xmom_centroid[tri_id1])
        if  abs(xmom_centroid[tri_id2])>mmax2[i]:
            mmax2[i]=abs(xmom_centroid[tri_id2])
        if  abs(xmom_centroid[tri_id3])>mmax3[i]:
            mmax3[i]=abs(xmom_centroid[tri_id3])

    print 'finished cycle: ', i
    print 'That took %.2f seconds' %(time.time()-t0)


    s = '%.6f, %.6f, %.6f, %.6f, %.6f, %.6f, %.6f, %.6f, %.6f\n' %(var, max0[i], max1[i], max2[i], max3[i], mmax0[i], mmax1[i], mmax2[i], mmax3[i])
    fid_out.write(s)    

from pylab import plot, ion, savefig, xlabel, ylabel, title, close, legend,hist,subplot
ion()
plot(n_vec,max2,'bo-',n_vec,max1,'go-',n_vec,max0,'ro-',n_vec,max3,'co-')
title('MISG testing: varying slope')
xlabel('slope')
ylabel('depth (m)')
#legend(['loc2','loc1','loc0','loc3'])
name='bed_slope'
savefig(name)
'''
#title('MISG testing: varying slope PDF')
subplot(2,2,1)
[h0,bins,patches]=hist(max0,10)
subplot(2,2,2)
[h1,bins,pa3ches]=hist(max1,10)
subplot(2,2,3)
[h2,bins,patches]=hist(max2,10)
subplot(2,2,4)
[h3,bins,patches]=hist(max3,10)
#plot(bins,h0,'bo-',bins,h1,'ro-',bins,h2,'go-',bins,h3,'co-')
xlabel('Runup')
ylabel('Frequency')
name='bed_slope_PDF'
savefig(name)
'''

close('all')