1 | """Class Domain - 1D domains for finite-volume computations of |
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2 | the shallow water wave equation |
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3 | |
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4 | |
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5 | Copyright 2004 |
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6 | Ole Nielsen, Stephen Roberts, Duncan Gray, Christopher Zoppou |
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7 | Geoscience Australia |
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8 | """ |
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9 | |
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10 | class Domain: |
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11 | |
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12 | def __init__(self, coordinates, conserved_quantities = None, |
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13 | other_quantities = None): |
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14 | """ |
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15 | Build 1D elements from x coordinates |
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16 | """ |
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17 | |
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18 | from Numeric import array, zeros, Float, Int |
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19 | |
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20 | self.beta = 1.0 |
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21 | #Store Points |
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22 | self.coordinates = array(coordinates) |
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23 | |
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24 | #Register number of Elements |
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25 | self.number_of_elements = N = len(self.coordinates)-1 |
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26 | |
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27 | |
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28 | #Allocate space for geometric quantities |
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29 | self.vertices = zeros((N, 2), Float) |
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30 | self.centroids = zeros(N, Float) |
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31 | self.areas = zeros(N, Float) |
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32 | for i in range(N): |
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33 | xl = self.coordinates[i] |
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34 | xr = self.coordinates[i+1] |
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35 | self.vertices[i,0] = xl |
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36 | self.vertices[i,1] = xr |
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37 | |
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38 | centroid = (xl+xr)/2 |
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39 | self.centroids[i] = centroid |
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40 | |
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41 | msg = 'Coordinates should be ordered, smallest to largest' |
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42 | assert xr>xl, msg |
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43 | |
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44 | self.areas[i] = (xr-xl) |
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45 | |
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46 | ## print 'N', N |
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47 | ## print 'Centroid', self.centroids |
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48 | ## print 'Areas', self.areas |
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49 | ## print 'Vertex_Coordinates', self.vertices |
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50 | |
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51 | def get_centroids(self): |
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52 | """Return all coordinates of centroids |
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53 | Return x coordinate of centroid for each element as a N array |
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54 | """ |
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55 | |
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56 | return self.centroids |
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57 | |
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58 | def get_vertices(self): |
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59 | """Return all coordinates of centroids |
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60 | Return x coordinate of centroid for each element as a N array |
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61 | """ |
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62 | |
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63 | return self.vertices |
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64 | |
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65 | def get_coordinate(self, elem_id, vertex=None): |
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66 | """Return coordinate of centroid, |
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67 | or left or right vertex. |
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68 | Left vertex (vertex=0). Right vertex (vertex=1) |
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69 | """ |
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70 | |
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71 | if vertex is None: |
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72 | return self.centroids[elem_id] |
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73 | else: |
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74 | return self.vertices[elem_id,vertex] |
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75 | |
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76 | def get_area(self, elem_id): |
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77 | """Return area of element id |
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78 | """ |
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79 | |
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80 | return self.areas[elem_id] |
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81 | |
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82 | |
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83 | if __name__ == "__main__": |
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84 | |
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85 | points1 = [0.0, 1.0, 2.0, 3.0] |
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86 | D1 = Domain(points1) |
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87 | |
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88 | print D1.get_coordinate(0) |
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89 | print D1.get_coordinate(0,1) |
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90 | |
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91 | try: |
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92 | print D1.get_coordinate(3) |
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93 | except: |
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94 | pass |
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95 | else: |
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96 | msg = 'Should have raised an out of bounds exception' |
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97 | raise msg |
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98 | |
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99 | #points2 = [0.0, 1.0, 2.0, 3.0, 2.5] |
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100 | #D2 = Domain(points2) |
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101 | |
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102 | |
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103 | |
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104 | |
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105 | |
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106 | |
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107 | |
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