source: anuga_work/development/anuga_1d/dam_h_elevation.py @ 6454

import os
from math import sqrt, sin, cos, pi, exp
from shallow_water_domain import *
from Numeric import zeros, Float
#from analytic_dam_sudi import AnalyticDam

h0=5.0
h1=10.0

#analytical_sol=AnalyticDam(h0,h1)

"""
def newLinePlot(title='Simple Plot'):
    import Gnuplot
    gg=Gnuplot.Gnuplot(persist=0)
    gg.title(title)
    gg('set data style linespoints')
    gg.xlabel('x')
    gg.ylabel('y')
    return gg

def linePlot(gg, x1, y1, x2, y2):
    import Gnuplot
    plot1=Gnuplot.PlotItems.Data(x1.flat, y1.flat, with="linespoints")
    plot2=Gnuplot.PlotItems.Data(x2.flat, y2.flat, with="lines 3")
    gg.plot(plot1, plot2)
"""


print "TEST 1D-SOLUTION I"

L=2000.0
N=50

cell_len=L/N

points=zeros(N+1, Float)
for i in range(N+1):
    points[i]=i*cell_len

domain=Domain(points)

domain.order = 2
domain.set_timestepping_method('rk2')
#domain.default_time_order = 2
domain.cfl = 1.0
#domain.limiter = "vanleer"



def stage(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if x[i]<=1000.0:
            y[i]=10.0
        else:
            y[i]=5.0
    return y

def stage_perturb(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if 800.0 <= x[i] <=1200.0:
            y[i]=10.0
        else:
            y[i]=5.0
    return y

def stage_sincos(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        y[i] = 5+exp(cos(pi*x[i]*0.001))+sin(pi*x[i]*0.0005)*sin(pi*x[i]*0.0005)
    return y


def elevation_box(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if 500.0 <= x[i] <= 1500.0:
            y[i] = 2.5
        else:
            y[i] = 0.0
    return y

def elevation_parabol(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        if 1400.0 <= x[i] <= 1600.0:
            y[i] = 1.25*(1+cos(0.01*pi*(x[i]-500)))
        else:
            y[i] = 0.0
    return y


def elevation_sincos(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        y[i] = sin(pi*x[i]*0.0005)*sin(pi*x[i]*0.0005)
    return y



def xmom_sincos(x):
    y=zeros(len(x), Float)
    for i in range(len(x)):
        y[i] = sin(cos(pi*x[i]*0.001))
    return y

domain.set_quantity('stage',stage_perturb)
domain.set_quantity('elevation', elevation_box)
#domain.set_quantity('xmomentum', xmom_sincos)
#domain.order=domain.default_order
print "domain order", domain.order

domain.set_boundary({'exterior':Reflective_boundary(domain)})

X=domain.vertices
C=domain.centroids
#plot1x=newLinePlot("Height")
#plot2x=newLinePlot("Momentum")


import time
t0=time.time()
yieldstep=10.0 #30.0
finaltime=10.0 #20.0
print "integral", domain.quantities['stage'].get_integral()
for t in domain.evolve(yieldstep=yieldstep, finaltime=finaltime):
    domain.write_time()
    print "integral", domain.quantities['stage'].get_integral()
    if t>0.0:
        HeightQ=domain.quantities['stage'].vertex_values
        MomentumQ=domain.quantities['xmomentum'].vertex_values
        ElevationQ=domain.quantities['elevation'].vertex_values
        #h, uh=analytical_sol(X.flat, domain.time)
        #linePlot(plot1x, X, HeightQ, X, h)
        #linePlot(plot2x, X, MomentumQ, X, uh)
        #print "press return"
        #pass
    
        from pylab import clf,plot,title,xlabel,ylabel,legend,savefig,show,hold,subplot,ion
        #print 'Test1'
        ion()
        hold(False)
        #clf()
        #print 'test 2'
        plot1 = subplot(211)
        #print 'test 3'
    
        
        #print 'Test4'

        plot(X,ElevationQ,X,HeightQ)
        plot1.set_ylim([-1.0,11.0])
        xlabel('Position')
        ylabel('Stage')
        #legend( ('Bed Elevation', 'Numerical Solution'),
        #   'upper right', shadow=False)

        
        #legend(('Analytical Solution', 'Numerical Solution'),
        #   'lower right', shadow=False)
        plot2 = subplot(212)
        plot(X,MomentumQ)
        #plot2.set_ylim([-1,1])
        
        #legend( ('Numerical Solution', 'for momentum'),
        #   'upper right', shadow=False)
    
        xlabel('Position')
        ylabel('Xmomentum')
        
        file = "dam_h_"
        #file += str(number_of_cells[i])
        file += ".eps"
        #savefig(file)
        #show()
        
print 'That took %.2f seconds'%(time.time()-t0)

raw_input("Press any key")