| 1 | """Simple water flow example using ANUGA |
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| 2 | |
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| 3 | Water flowing down a channel with more complex topography |
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| 4 | """ |
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| 5 | |
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| 6 | #------------------------------------------------------------------------------ |
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| 7 | # Import necessary modules |
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| 8 | #------------------------------------------------------------------------------ |
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| 9 | import anuga |
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| 10 | |
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| 11 | #------------------------------------------------------------------------------ |
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| 12 | # Setup computational domain |
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| 13 | #------------------------------------------------------------------------------ |
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| 14 | length = 40. |
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| 15 | width = 5. |
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| 16 | dx = dy = .1 # Resolution: Length of subdivisions on both axes |
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| 17 | |
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| 18 | points, vertices, boundary = anuga.rectangular_cross(int(length/dx), |
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| 19 | int(width/dy), len1=length, len2=width) |
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| 20 | domain = anuga.Domain(points, vertices, boundary) |
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| 21 | domain.set_name('channel3') # Output name |
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| 22 | print domain.statistics() |
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| 23 | |
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| 24 | #------------------------------------------------------------------------------ |
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| 25 | # Setup initial conditions |
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| 26 | #------------------------------------------------------------------------------ |
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| 27 | def topography(x,y): |
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| 28 | """Complex topography defined by a function of vectors x and y.""" |
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| 29 | |
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| 30 | z = -x/10 |
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| 31 | |
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| 32 | N = len(x) |
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| 33 | for i in range(N): |
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| 34 | # Step |
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| 35 | if 10 < x[i] < 12: |
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| 36 | z[i] += 0.4 - 0.05*y[i] |
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| 37 | |
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| 38 | # Constriction |
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| 39 | if 27 < x[i] < 29 and y[i] > 3: |
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| 40 | z[i] += 2 |
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| 41 | |
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| 42 | # Pole |
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| 43 | if (x[i] - 34)**2 + (y[i] - 2)**2 < 0.4**2: |
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| 44 | z[i] += 2 |
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| 45 | |
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| 46 | return z |
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| 47 | |
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| 48 | domain.set_quantity('elevation', topography) # elevation is a function |
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| 49 | domain.set_quantity('friction', 0.01) # Constant friction |
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| 50 | domain.set_quantity('stage', expression='elevation') # Dry initial condition |
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| 51 | |
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| 52 | #------------------------------------------------------------------------------ |
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| 53 | # Setup boundary conditions |
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| 54 | #------------------------------------------------------------------------------ |
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| 55 | Bi = anuga.Dirichlet_boundary([0.4, 0, 0]) # Inflow |
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| 56 | Br = anuga.Reflective_boundary(domain) # Solid reflective wall |
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| 57 | Bo = anuga.Dirichlet_boundary([-5, 0, 0]) # Outflow |
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| 58 | |
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| 59 | domain.set_boundary({'left': Bi, 'right': Bo, 'top': Br, 'bottom': Br}) |
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| 60 | |
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| 61 | #------------------------------------------------------------------------------ |
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| 62 | # Evolve system through time |
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| 63 | #------------------------------------------------------------------------------ |
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| 64 | for t in domain.evolve(yieldstep=0.1, finaltime=16.0): |
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| 65 | print domain.timestepping_statistics() |
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| 66 | |
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| 67 | if domain.get_quantity('stage').\ |
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| 68 | get_values(interpolation_points=[[10, 2.5]]) > 0: |
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| 69 | print 'Stage > 0: Changing to outflow boundary' |
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| 70 | domain.set_boundary({'right': Bo}) |
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| 71 | |
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