1 | """Simple water flow example using ANUGA |
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2 | |
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3 | Water flowing down a channel |
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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 | from anuga.abstract_2d_finite_volumes.mesh_factory import rectangular_cross |
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10 | from anuga.shallow_water import Domain |
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11 | from anuga.shallow_water import Reflective_boundary |
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12 | from anuga.shallow_water import Dirichlet_boundary |
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13 | from anuga.shallow_water import Time_boundary |
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14 | |
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15 | |
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16 | #------------------------------------------------------------------------------ |
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17 | # Setup computational domain |
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18 | #------------------------------------------------------------------------------ |
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19 | length = 40. |
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20 | width = 5. |
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21 | dx = dy = 1 # Resolution: Length of subdivisions on both axes |
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22 | |
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23 | points, vertices, boundary = rectangular_cross(int(length/dx), int(width/dy), len1=length, len2=width) |
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24 | domain = Domain(points, vertices, boundary) |
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25 | domain.set_name('channel_3') # Output name |
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26 | |
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27 | |
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28 | #------------------------------------------------------------------------------ |
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29 | # Setup initial conditions |
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30 | #------------------------------------------------------------------------------ |
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31 | def topography(x,y): |
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32 | z = -x/10 # linear bed slope |
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33 | |
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34 | N = len(x) |
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35 | for i in range(N): |
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36 | |
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37 | #Step |
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38 | if 10 < x[i] < 12: |
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39 | z[i] += 0.4 - 0.05*y[i] |
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40 | |
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41 | #Constriction |
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42 | if 27 < x[i] < 29 and y[i] > 3: |
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43 | z[i] += 2 |
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44 | |
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45 | # Pole |
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46 | if (x[i] - 34)**2 + (y[i] - 2)**2 < 0.4**2: |
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47 | z[i] += 2 |
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48 | |
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49 | return z |
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50 | |
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51 | |
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52 | domain.set_quantity('elevation', topography) # Use function for elevation |
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53 | domain.set_quantity('friction', 0.01) # Constant friction |
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54 | domain.set_quantity('stage', expression='elevation') # Dry |
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55 | |
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56 | |
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57 | #------------------------------------------------------------------------------ |
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58 | # Setup boundary conditions |
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59 | #------------------------------------------------------------------------------ |
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60 | Bi = Dirichlet_boundary([0.4, 0, 0]) # Inflow |
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61 | Br = Reflective_boundary(domain) # Solid reflective wall |
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62 | Bo = Dirichlet_boundary([-5, 0, 0]) # Outflow |
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63 | |
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64 | domain.set_boundary({'left': Bi, 'right': Bo, 'top': Br, 'bottom': Br}) |
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65 | |
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66 | |
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67 | #------------------------------------------------------------------------------ |
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68 | # Evolve system through time |
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69 | #------------------------------------------------------------------------------ |
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70 | for t in domain.evolve(yieldstep = 0.2, finaltime = 16.0): |
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71 | domain.write_time() |
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72 | |
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73 | |
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