1 | """Example of shallow water wave equation. |
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2 | |
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3 | Specific methods pertaining to the 2D shallow water equation |
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4 | are imported from shallow_water |
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5 | for use with the generic finite volume framework |
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6 | |
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7 | Conserved quantities are h, uh and vh stored as elements 0, 1 and 2 in the |
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8 | numerical vector named conserved_quantities. |
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9 | """ |
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10 | |
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11 | ###################### |
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12 | # Module imports |
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13 | # |
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14 | from shallow_water import Domain, Reflective_boundary, Dirichlet_boundary,\ |
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15 | Transmissive_boundary, Time_boundary, Constant_height, Weir |
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16 | |
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17 | from mesh_factory import rectangular |
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18 | from pmesh2domain import pmesh_to_domain |
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19 | |
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20 | from Numeric import array |
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21 | |
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22 | ###################### |
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23 | # Domain |
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24 | |
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25 | import sys |
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26 | if len(sys.argv) > 1: |
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27 | filename = sys.argv[1] |
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28 | else: |
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29 | filename = 'weir_domain_refined.tsh' |
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30 | |
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31 | print 'Creating domain from', filename |
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32 | domain_list = pmesh_to_domain(filename) |
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33 | vertex_coordinates = domain_list[0] |
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34 | volumes = domain_list[1] |
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35 | marker_dict = domain_list[2] |
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36 | vertex_quantity_dict = domain_list[3] |
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37 | |
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38 | domain = Domain(vertex_coordinates, volumes, marker_dict) |
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39 | print "Number of triangles = ", len(domain) |
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40 | |
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41 | domain.store = False #True |
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42 | domain.format = 'sww' |
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43 | domain.filename = 'weir' |
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44 | domain.checkpoint = False #True |
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45 | domain.visualise = True #False |
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46 | domain.default_order = 2 |
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47 | |
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48 | #Set bed-slope and friction |
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49 | inflow_stage = 0.15 |
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50 | manning = 0.07 |
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51 | W = Weir(inflow_stage) |
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52 | |
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53 | print 'Field values' |
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54 | |
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55 | domain.set_quantity('elevation', W) |
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56 | domain.set_quantity('friction', manning) |
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57 | |
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58 | |
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59 | |
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60 | ###################### |
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61 | # Boundary conditions |
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62 | # |
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63 | print 'Boundaries' |
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64 | Br = Reflective_boundary(domain) |
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65 | Bt = Transmissive_boundary(domain) |
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66 | |
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67 | #Constant inflow |
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68 | Bd = Dirichlet_boundary(array([inflow_stage, 0.0, 0.0])) |
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69 | |
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70 | #Time dependent inflow |
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71 | from math import sin, pi |
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72 | Bw = Time_boundary(domain=domain, |
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73 | f=lambda x: array([(1 + sin(x*pi/4))*\ |
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74 | (inflow_stage*(sin(2.5*x*pi)+0.7)),0,0])) |
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75 | |
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76 | |
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77 | print 'Available boundary tags are', domain.get_boundary_tags() |
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78 | |
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79 | #Set boundary conditions |
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80 | domain.set_boundary({'left': Bw, '0': Br, '1':Bw, 'external':Br}) |
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81 | |
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82 | |
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83 | #print domain.quantities['elevation'].vertex_values |
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84 | #print domain.quantities['stage'].vertex_values |
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85 | |
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86 | ###################### |
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87 | #Initial condition |
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88 | print 'Initial condition' |
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89 | domain.set_quantity('stage', Constant_height(W, 0.)) |
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90 | domain.check_integrity() |
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91 | |
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92 | ###################### |
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93 | #Evolution |
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94 | for t in domain.evolve(yieldstep = 0.01, finaltime = 5): |
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95 | domain.write_time() |
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96 | |
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97 | print 'Done' |
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98 | |
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99 | |
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