[195] | 1 | """boundary.py - Classes for implementing boundary conditions |
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| 2 | """ |
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| 3 | |
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| 4 | |
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| 5 | class Boundary: |
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| 6 | """Base class for boundary conditions. |
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| 7 | Specific boundary conditions must provide values for |
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| 8 | the conserved_quantities |
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| 9 | |
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| 10 | A boundary object has one neighbour; the one it |
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| 11 | serves. |
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| 12 | """ |
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| 13 | |
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| 14 | def __init__(self): |
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| 15 | pass |
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| 16 | |
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| 17 | def evaluate(self, vol_id=None, edge_id=None): |
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| 18 | msg = 'Generic class Boundary must be subclassed' |
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| 19 | raise msg |
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| 20 | |
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| 21 | |
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| 22 | class Transmissive_boundary(Boundary): |
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| 23 | """Transmissive boundary returns same conserved quantities as |
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| 24 | those present in its neighbour volume. |
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| 25 | |
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| 26 | Underlying domain must be specified when boundary is instantiated |
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| 27 | """ |
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| 28 | |
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| 29 | def __init__(self, domain = None): |
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| 30 | Boundary.__init__(self) |
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| 31 | |
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| 32 | if domain is None: |
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| 33 | msg = 'Domain must be specified for transmissive boundary' |
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| 34 | raise msg |
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| 35 | |
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| 36 | self.domain = domain |
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| 37 | |
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| 38 | def __repr__(self): |
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| 39 | return 'Transmissive_boundary(%s)' %self.domain |
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| 40 | |
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| 41 | def evaluate(self, vol_id, edge_id): |
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| 42 | """Transmissive boundaries return the edge values |
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| 43 | of the volume they serve. |
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| 44 | """ |
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| 45 | |
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| 46 | q = self.domain.get_conserved_quantities(vol_id, edge = edge_id) |
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| 47 | return q |
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| 48 | |
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| 49 | |
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| 50 | class Dirichlet_boundary(Boundary): |
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| 51 | """Dirichlet boundary returns constant values for the |
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| 52 | conserved quantities |
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| 53 | """ |
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| 54 | |
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| 55 | |
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| 56 | def __init__(self, conserved_quantities=None): |
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| 57 | Boundary.__init__(self) |
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| 58 | |
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| 59 | if conserved_quantities is None: |
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| 60 | msg = 'Must specify one value for each conserved quantity' |
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| 61 | raise msg |
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| 62 | |
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| 63 | from Numeric import array, Float |
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| 64 | self.conserved_quantities=array(conserved_quantities).astype(Float) |
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| 65 | |
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| 66 | def __repr__(self): |
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| 67 | return 'Dirichlet boundary (%s)' %self.conserved_quantities |
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| 68 | |
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| 69 | def evaluate(self, vol_id=None, edge_id=None): |
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| 70 | return self.conserved_quantities |
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| 71 | |
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| 72 | |
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| 73 | |
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| 74 | class Time_boundary(Boundary): |
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| 75 | """Time dependent boundary returns values for the |
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| 76 | conserved quantities as a function of time. |
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| 77 | Must specify domain to get access to model time and a function f(t) |
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| 78 | which must return conserved quantities as a function time |
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| 79 | """ |
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| 80 | |
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| 81 | |
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| 82 | def __init__(self, domain = None, f=None): |
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| 83 | Boundary.__init__(self) |
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| 84 | |
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| 85 | try: |
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| 86 | q = f(0.0) |
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[232] | 87 | except Exception, e: |
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| 88 | msg = 'Function for time boundary could not be executed:\n%s' %e |
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| 89 | raise msg |
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| 90 | |
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[195] | 91 | |
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| 92 | from Numeric import array, Float |
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| 93 | try: |
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| 94 | q = array(q).astype(Float) |
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| 95 | except: |
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| 96 | msg = 'Return value from time boundary function could ' |
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| 97 | msg += 'not be converted into a Numeric array of floats.\n' |
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| 98 | msg += 'Specified function should return either list or array.' |
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| 99 | raise msg |
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| 100 | |
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| 101 | msg = 'ERROR: Time boundary function must return a 1d list or array ' |
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| 102 | assert len(q.shape) == 1, msg |
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| 103 | |
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| 104 | d = len(domain.conserved_quantities) |
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| 105 | msg = 'Return value for f must be a list or an array of length %d' %d |
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| 106 | assert len(q) == d, msg |
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| 107 | |
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| 108 | self.f = f |
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| 109 | self.domain = domain |
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| 110 | |
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| 111 | def __repr__(self): |
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| 112 | return 'Time boundary' |
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| 113 | |
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| 114 | def evaluate(self, vol_id=None, edge_id=None): |
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| 115 | return self.f(self.domain.time) |
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| 116 | |
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| 117 | |
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| 118 | |
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| 119 | #THIS FAR (10/8/4) |
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| 120 | class Connective_boundary(Boundary): |
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| 121 | """Connective boundary returns values for the |
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| 122 | conserved quantities from a volume as defined by a connection table |
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| 123 | mapping between tuples of (volume id, face id) for volumes that |
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| 124 | have their boundaries connected. |
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| 125 | |
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| 126 | FIXME: Perhaps include possibility of mapping between |
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| 127 | different domains as well |
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| 128 | |
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| 129 | FIXME: In case of shallow water we may want to have a |
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| 130 | special version that casts this in terms of height rather than stage |
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| 131 | """ |
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| 132 | |
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| 133 | |
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| 134 | def __init__(self, table): |
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| 135 | from domain import Volume |
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| 136 | |
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| 137 | Boundary.__init__(self) |
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| 138 | |
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| 139 | self.connection_table = table |
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| 140 | self.Volume = Volume |
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| 141 | |
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| 142 | def __repr__(self): |
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| 143 | return 'Connective boundary' |
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| 144 | |
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| 145 | #FIXME: IF we ever need to get field_values from connected volume, |
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| 146 | #that method could be overridden here (using same idea as in |
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| 147 | #get_conserved_quantities |
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| 148 | #def get_field_values() |
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| 149 | |
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| 150 | def get_conserved_quantities(self, volume, face=0): |
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| 151 | |
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| 152 | id = volume.id |
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| 153 | if self.connection_table.has_key((id, face)): |
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| 154 | other_id, other_face = self.connection_table[(id, face)] |
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| 155 | |
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| 156 | other_volume = self.Volume.instances[other_id] |
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| 157 | cmd = 'q = other_volume.conserved_quantities_face%d' %face; |
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| 158 | exec(cmd) |
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| 159 | return q |
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| 160 | else: |
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| 161 | msg = 'Volume, face tuple ($d, %d) has not been mapped'\ |
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| 162 | %(id, face) |
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| 163 | raise msg |
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| 164 | |
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| 165 | |
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| 166 | |
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| 167 | |
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| 168 | |
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| 169 | #FIXME: Add a boundary with a general function of x,y, and t |
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| 170 | |
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| 171 | #FIXME: Add periodic boundaries e.g.: |
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| 172 | # Attempt at periodic conditions from advection_spik. Remember this |
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| 173 | # |
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| 174 | #first = 2*(N-1)*N |
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| 175 | #for i in range(1,2*N+1,2): |
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| 176 | # k = first + i-1# |
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| 177 | # |
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| 178 | # print i,k |
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| 179 | # |
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| 180 | # domain[i].faces[2].neighbour = domain[k].faces[1] |
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| 181 | # domain[k].faces[1].neighbour = domain[i].faces[2] |
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| 182 | |
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| 183 | |
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| 184 | |
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| 185 | class General_boundary(Boundary): |
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| 186 | """General boundary which can compute conserved quantities based on |
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| 187 | their previous value, conserved quantities of its neighbour and model time. |
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| 188 | |
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| 189 | Must specify initial conserved quantities, |
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| 190 | neighbour, |
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| 191 | domain to get access to model time |
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| 192 | a function f(q_old, neighbours_q, t) which must return |
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| 193 | new conserved quantities q as a function time |
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| 194 | |
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| 195 | FIXME: COMPLETE UNTESTED - JUST AN IDEA |
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| 196 | """ |
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| 197 | |
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| 198 | def __init__(self, neighbour=None, conserved_quantities=None, domain=None, f=None): |
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| 199 | Boundary.__init__(self, neighbour=neighbour, conserved_quantities=conserved_quantities) |
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| 200 | |
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| 201 | self.f = f |
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| 202 | self.domain = domain |
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| 203 | |
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| 204 | |
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| 205 | def get_conserved_quantities(self, volume=None, face=0): |
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| 206 | return self.f(self.conserved_quantities, |
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| 207 | neighbour.conserved_quantities, |
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| 208 | self.domain.time) |
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| 209 | |
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| 210 | |
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| 211 | |
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| 212 | |
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