[5509] | 1 | """Simple water flow example using ANUGA |
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| 2 | |
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| 3 | Benchmark problem from teh third International Workshop on Long-Wave |
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| 4 | Runup Models |
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| 5 | http://www.cee.cornell.edu/longwave/index.cfm?page=benchmark&problem=3 |
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| 6 | |
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| 7 | """ |
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| 8 | |
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| 9 | |
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| 10 | #------------------------------------------------------------------------------ |
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| 11 | # Import necessary modules |
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| 12 | #------------------------------------------------------------------------------ |
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| 13 | |
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| 14 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular |
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| 15 | from anuga.shallow_water import Domain |
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| 16 | from anuga.shallow_water import Reflective_boundary |
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| 17 | from anuga.shallow_water import Dirichlet_boundary |
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| 18 | from anuga.shallow_water import Time_boundary |
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| 19 | from anuga.shallow_water import Transmissive_boundary |
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| 20 | |
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| 21 | |
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| 22 | #------------------------------------------------------------------------------ |
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| 23 | # Setup computational domain |
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| 24 | #------------------------------------------------------------------------------ |
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| 25 | from anuga.pmesh.mesh_interface import create_mesh_from_regions |
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| 26 | bounding_polygon = [[0,10],[10,10],[10,0],[0,0]] |
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| 27 | remainder_res = 0.25 |
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| 28 | meshname = 'test.msh' |
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| 29 | create_mesh_from_regions(bounding_polygon, |
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| 30 | boundary_tags={'top': [0], |
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| 31 | 'right': [1], |
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| 32 | 'bottom': [2], |
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| 33 | 'left': [3]}, |
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| 34 | maximum_triangle_area=remainder_res, |
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| 35 | filename=meshname, |
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| 36 | #interior_regions=interior_regions, |
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| 37 | use_cache=False, |
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| 38 | verbose=True) |
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| 39 | |
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| 40 | from anuga.abstract_2d_finite_volumes.pmesh2domain import pmesh_to_domain_instance |
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| 41 | from anuga.caching import cache |
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| 42 | |
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| 43 | domain = cache(pmesh_to_domain_instance, |
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| 44 | (meshname, Domain), |
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| 45 | dependencies = [meshname]) # Create domain |
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| 46 | domain.set_name('slide') # Output to file runup.sww |
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| 47 | domain.set_datadir('.') # Use current directory for output |
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| 48 | domain.set_quantities_to_be_stored(['stage',# Store all conserved quantities |
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| 49 | 'xmomentum', |
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| 50 | 'ymomentum']) |
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| 51 | |
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| 52 | |
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| 53 | #------------------------------------------------------------------------------ |
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| 54 | # Setup initial conditions |
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| 55 | #------------------------------------------------------------------------------ |
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| 56 | |
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| 57 | from math import tan, radians |
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| 58 | beta = radians(5.7) |
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| 59 | delta = 1. |
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| 60 | mu = 0.01 |
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| 61 | g = 9.81 |
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| 62 | |
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| 63 | def topography(x,y): |
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| 64 | return x*tan(beta) # H(x) = x tan(beta) |
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| 65 | |
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| 66 | domain.set_quantity('elevation', topography) # Use function for elevation |
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| 67 | domain.set_quantity('friction', 0.1) # Constant friction |
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| 68 | domain.set_quantity('stage', 0.0) # Constant negative initial stage |
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| 69 | |
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| 70 | from Numeric import sqrt, exp |
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| 71 | t = 0 |
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| 72 | def ho(x,y): |
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| 73 | return delta*exp(x) |
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| 74 | |
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| 75 | #return delta*( -(2*sqrt(x*mu*mu/(delta*tan(beta))) - sqrt(g/delta)*mu*t)**2) |
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| 76 | #------------------------------------------------------------------------------ |
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| 77 | # Setup boundary conditions |
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| 78 | #------------------------------------------------------------------------------ |
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| 79 | |
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| 80 | from math import sin, pi, exp |
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| 81 | Br = Reflective_boundary(domain) # Solid reflective wall |
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| 82 | Bt = Transmissive_boundary(domain) # Continue all values on boundary |
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| 83 | Bd = Dirichlet_boundary([-0.2,0.,0.]) # Constant boundary values |
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| 84 | Bw = Time_boundary(domain=domain, # Time dependent boundary |
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| 85 | f=lambda t: [(.1*sin(t*2*pi)-0.3) * exp(-t), 0.0, 0.0]) |
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| 86 | |
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| 87 | # Associate boundary tags with boundary objects |
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| 88 | domain.set_boundary({'left': Br, 'right': Bw, 'top': Br, 'bottom': Br}) |
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| 89 | |
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| 90 | |
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| 91 | #------------------------------------------------------------------------------ |
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| 92 | # Evolve system through time |
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| 93 | #------------------------------------------------------------------------------ |
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| 94 | |
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| 95 | for t in domain.evolve(yieldstep = 0.1, finaltime = 10.0): |
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| 96 | t1 = domain.get_time() |
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| 97 | t = t1 |
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| 98 | domain.set_quantity('elevation', ho) |
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| 99 | domain.write_time() |
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| 100 | |
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| 101 | |
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| 102 | |
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