1 | import sys
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2 |
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3 | import numpy as np
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4 |
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5 | from checkfield import checkfield
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6 | from fielddisplay import fielddisplay
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7 | import MatlabFuncs as m
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8 | from project3d import project3d
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9 | from WriteData import WriteData
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10 |
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11 |
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12 | class stressbalance(object):
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13 | """STRESSBALANCE class definition
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14 |
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15 | Usage:
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16 | stressbalance = stressbalance()
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17 | """
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18 |
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19 | def __init__(self): # {{{
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20 | self.spcvx = np.nan
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21 | self.spcvy = np.nan
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22 | self.spcvx_base = np.nan
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23 | self.spcvy_base = np.nan
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24 | self.spcvx_shear = np.nan
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25 | self.spcvy_shear = np.nan
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26 | self.spcvz = np.nan
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27 | self.restol = 0
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28 | self.reltol = 0
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29 | self.abstol = 0
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30 | self.isnewton = 0
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31 | self.FSreconditioning = 0
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32 | self.icefront = np.nan
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33 | self.maxiter = 0
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34 | self.shelf_dampening = 0
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35 | self.vertex_pairing = np.nan
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36 | self.penalty_factor = np.nan
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37 | self.rift_penalty_lock = np.nan
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38 | self.rift_penalty_threshold = 0
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39 | self.referential = np.nan
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40 | self.loadingforce = np.nan
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41 | self.requested_outputs = []
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42 |
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43 | # Set defaults
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44 | self.setdefaultparameters()
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45 |
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46 | # }}}
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47 |
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48 | def __repr__(self): # {{{
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49 | s = ' StressBalance solution parameters:\n'
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50 | s += ' Convergence criteria:\n'
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51 | s += '{}\n'.format(fielddisplay(self, 'restol', 'mechanical equilibrium residual convergence criterion'))
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52 | s += '{}\n'.format(fielddisplay(self, 'reltol', 'velocity relative convergence criterion, NaN: not applied'))
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53 | s += '{}\n'.format(fielddisplay(self, 'abstol', 'velocity absolute convergence criterion, NaN: not applied'))
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54 | s += '{}\n'.format(fielddisplay(self, 'isnewton', '0: Picard\'s fixed point, 1: Newton\'s method, 2: hybrid'))
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55 | s += '{}\n'.format(fielddisplay(self, 'maxiter', 'maximum number of nonlinear iterations'))
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56 | s += ' boundary conditions:\n'
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57 | s += '{}\n'.format(fielddisplay(self, 'spcvx', 'x-axis velocity constraint (NaN means no constraint) [m / yr]'))
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58 | s += '{}\n'.format(fielddisplay(self, 'spcvy', 'y-axis velocity constraint (NaN means no constraint) [m / yr]'))
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59 | s += '{}\n'.format(fielddisplay(self, 'spcvz', 'z-axis velocity constraint (NaN means no constraint) [m / yr]'))
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60 | s += '{}\n'.format(fielddisplay(self, 'icefront', 'segments on ice front list (last column 0: Air, 1: Water, 2: Ice'))
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61 | s += ' MLHO boundary conditions:\n'
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62 | s += '{}\n'.format(fielddisplay(self, 'spcvx_base', 'x-axis basal velocity constraint (NaN means no constraint) [m / yr]'))
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63 | s += '{}\n'.format(fielddisplay(self, 'spcvy_base', 'y-axis basal velocity constraint (NaN means no constraint) [m / yr]'))
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64 | s += '{}\n'.format(fielddisplay(self, 'spcvx_shear', 'x-axis shear velocity constraint (NaN means no constraint) [m / yr]'))
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65 | s += '{}\n'.format(fielddisplay(self, 'spcvy_shear', 'y-axis shear velocity constraint (NaN means no constraint) [m / yr]'))
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66 | s += ' Rift options:\n'
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67 | s += '{}\n'.format(fielddisplay(self, 'rift_penalty_threshold', 'threshold for instability of mechanical constraints'))
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68 | s += '{}\n'.format(fielddisplay(self, 'rift_penalty_lock', 'number of iterations before rift penalties are locked'))
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69 | s += ' Penalty options:\n'
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70 | s += '{}\n'.format(fielddisplay(self, 'penalty_factor', 'offset used by penalties: penalty = Kmax * 10^offset'))
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71 | s += '{}\n'.format(fielddisplay(self, 'vertex_pairing', 'pairs of vertices that are penalized'))
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72 | s += ' Other:\n'
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73 | s += '{}\n'.format(fielddisplay(self, 'shelf_dampening', 'use dampening for floating ice ? Only for FS model'))
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74 | s += '{}\n'.format(fielddisplay(self, 'FSreconditioning', 'multiplier for incompressibility equation. Only for FS model'))
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75 | s += '{}\n'.format(fielddisplay(self, 'referential', 'local referential'))
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76 | s += '{}\n'.format(fielddisplay(self, 'loadingforce', 'loading force applied on each point [N/m^3]'))
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77 | s += '{}\n'.format(fielddisplay(self, 'requested_outputs', 'additional outputs requested'))
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78 | return s
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79 | # }}}
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80 |
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81 | def extrude(self, md): # {{{
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82 | self.spcvx = project3d(md, 'vector', self.spcvx, 'type', 'node')
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83 | self.spcvy = project3d(md, 'vector', self.spcvy, 'type', 'node')
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84 | self.spcvz = project3d(md, 'vector', self.spcvz, 'type', 'node')
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85 | self.referential = project3d(md, 'vector', self.referential, 'type', 'node')
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86 | self.loadingforce = project3d(md, 'vector', self.loadingforce, 'type', 'node')
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87 |
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88 | if md.flowequation.isMLHO:
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89 | self.spcvx_base = project3d(md, 'vector', self.spcvx_base, 'type', 'node')
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90 | self.spcvy_base = project3d(md, 'vector', self.spcvy_base, 'type', 'node')
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91 | self.spcvx_shear = project3d(md, 'vector', self.spcvx_shear, 'type', 'poly', 'degree', 4)
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92 | self.spcvy_shear = project3d(md, 'vector', self.spcvy_shear, 'type', 'poly', 'degree', 4)
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93 |
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94 | return self
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95 | # }}}
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96 |
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97 | def setdefaultparameters(self): # {{{
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98 | # Maximum of non-linear iterations
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99 | self.maxiter = 100
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100 |
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101 | # Convergence criterion: absolute, relative and residual
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102 | self.restol = pow(10, -4)
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103 | self.reltol = 0.01
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104 | self.abstol = 10
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105 |
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106 | self.FSreconditioning = pow(10, 13)
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107 | self.shelf_dampening = 0
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108 |
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109 | # Penalty factor applied kappa = max(stiffness matrix) * 1.0^penalty_factor
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110 | self.penalty_factor = 3
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111 |
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112 | # Stop the iterations of rift if below a threshold
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113 | self.rift_penalty_threshold = 0
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114 |
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115 | # In some solutions, it might be needed to stop a run when only a few
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116 | # constraints remain unstable. For thermal computation, this parameter
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117 | # is often used.
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118 | self.rift_penalty_lock = 10
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119 |
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120 | # Output default
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121 | self.requested_outputs = ['default']
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122 | return self
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123 | # }}}
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124 |
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125 | def defaultoutputs(self, md): # {{{
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126 | if md.mesh.dimension() == 3:
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127 | list = ['Vx', 'Vy', 'Vz', 'Vel', 'Pressure']
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128 | else:
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129 | list = ['Vx', 'Vy', 'Vel', 'Pressure']
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130 | return list
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131 | # }}}
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132 |
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133 | def checkconsistency(self, md, solution, analyses): # {{{
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134 | # Early return
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135 | if 'StressbalanceAnalysis' not in analyses:
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136 | return md
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137 | if solution == 'TransientSolution' and not md.transient.isstressbalance:
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138 | return md
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139 |
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140 | md = checkfield(md, 'fieldname', 'stressbalance.spcvx', 'Inf', 1, 'timeseries', 1)
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141 | md = checkfield(md, 'fieldname', 'stressbalance.spcvy', 'Inf', 1, 'timeseries', 1)
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142 | if m.strcmp(md.mesh.domaintype(), '3D'):
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143 | md = checkfield(md, 'fieldname', 'stressbalance.spcvz', 'Inf', 1, 'timeseries', 1)
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144 | md = checkfield(md, 'fieldname', 'stressbalance.restol', 'size', [1], '>', 0)
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145 | md = checkfield(md, 'fieldname', 'stressbalance.reltol', 'size', [1])
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146 | md = checkfield(md, 'fieldname', 'stressbalance.abstol', 'size', [1])
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147 | md = checkfield(md, 'fieldname', 'stressbalance.isnewton', 'numel', [1], 'values', [0, 1, 2])
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148 | md = checkfield(md, 'fieldname', 'stressbalance.FSreconditioning', 'size', [1], 'NaN', 1, 'Inf', 1)
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149 | md = checkfield(md, 'fieldname', 'stressbalance.maxiter', 'size', [1], '>=', 1)
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150 | md = checkfield(md, 'fieldname', 'stressbalance.referential', 'size', [md.mesh.numberofvertices, 6])
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151 | md = checkfield(md, 'fieldname', 'stressbalance.loadingforce', 'size', [md.mesh.numberofvertices, 3])
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152 | md = checkfield(md, 'fieldname', 'stressbalance.requested_outputs', 'stringrow', 1)
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153 | if not np.any(np.isnan(self.vertex_pairing)) and len(self.vertex_pairing) > 0:
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154 | md = checkfield(md, 'fieldname', 'stressbalance.vertex_pairing', '>', 0)
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155 | # Singular solution
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156 | # if ~any((~isnan(md.stressbalance.spcvx) + ~isnan(md.stressbalance.spcvy)) == 2),
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157 | if (not np.any(np.logical_or(np.logical_not(np.isnan(md.stressbalance.spcvx)), np.logical_not(np.isnan(md.stressbalance.spcvy))))) & (not np.any(md.mask.ocean_levelset>0)):
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158 | print("\n !!! Warning: no spc applied, model might not be well posed if no basal friction is applied, check for solution crash\n")
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159 | # CHECK THAT EACH LINES CONTAINS ONLY NAN VALUES OR NO NAN VALUES
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160 | # if any(sum(isnan(md.stressbalance.referential), 2)~=0 & sum(isnan(md.stressbalance.referential), 2)~=6),
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161 | if np.any(np.logical_and(np.sum(np.isnan(md.stressbalance.referential), axis=1) != 0, np.sum(np.isnan(md.stressbalance.referential), axis=1) != 6)):
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162 | md.checkmessage("Each line of stressbalance.referential should contain either only NaN values or no NaN values")
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163 | # CHECK THAT THE TWO VECTORS PROVIDED ARE ORTHOGONAL
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164 | # if any(sum(isnan(md.stressbalance.referential), 2) == 0),
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165 | if np.any(np.sum(np.isnan(md.stressbalance.referential), axis=1) == 0):
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166 | pos = [i for i, item in enumerate(np.sum(np.isnan(md.stressbalance.referential), axis=1)) if item == 0]
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167 | # np.inner (and np.dot) calculate all the dot product permutations, resulting in a full matrix multiply
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168 | # if np.any(np.abs(np.inner(md.stressbalance.referential[pos, 0:2], md.stressbalance.referential[pos, 3:5]).diagonal()) > sys.float_info.epsilon):
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169 | # md.checkmessage("Vectors in stressbalance.referential (columns 1 to 3 and 4 to 6) must be orthogonal")
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170 | for item in md.stressbalance.referential[pos, :]:
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171 | if np.abs(np.inner(item[0:2], item[3:5])) > sys.float_info.epsilon:
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172 | md.checkmessage("Vectors in stressbalance.referential (columns 1 to 3 and 4 to 6) must be orthogonal")
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173 | # CHECK THAT NO rotation specified for FS Grounded ice at base
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174 | if m.strcmp(md.mesh.domaintype(), '3D') and md.flowequation.isFS:
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175 | pos = np.nonzero(np.logical_and(md.mask.ocean_levelset, md.mesh.vertexonbase))
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176 | if np.any(np.logical_not(np.isnan(md.stressbalance.referential[pos, :]))):
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177 | md.checkmessage("no referential should be specified for basal vertices of grounded ice")
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178 | if md.flowequation.isMLHO:
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179 | md = checkfield(md, 'fieldname', 'stressbalance.spcvx_base', 'Inf', 1, 'timeseries', 1)
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180 | md = checkfield(md, 'fieldname', 'stressbalance.spcvy_base', 'Inf', 1, 'timeseries', 1)
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181 | md = checkfield(md, 'fieldname', 'stressbalance.spcvx_shear', 'Inf', 1, 'timeseries', 1)
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182 | md = checkfield(md, 'fieldname', 'stressbalance.spcvy_shear', 'Inf', 1, 'timeseries', 1)
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183 | return md
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184 | # }}}
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185 |
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186 | def marshall(self, prefix, md, fid): # {{{
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187 |
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188 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'vertex_pairing', 'format', 'DoubleMat', 'mattype', 3)
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189 |
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190 | yts = md.constants.yts
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191 |
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192 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvx', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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193 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvy', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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194 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvz', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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195 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'restol', 'format', 'Double')
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196 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'reltol', 'format', 'Double')
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197 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'abstol', 'format', 'Double', 'scale', 1. / yts)
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198 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'isnewton', 'format', 'Integer')
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199 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'FSreconditioning', 'format', 'Double')
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200 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'maxiter', 'format', 'Integer')
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201 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'shelf_dampening', 'format', 'Integer')
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202 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'penalty_factor', 'format', 'Double')
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203 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'rift_penalty_lock', 'format', 'Integer')
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204 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'rift_penalty_threshold', 'format', 'Integer')
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205 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'referential', 'format', 'DoubleMat', 'mattype', 1)
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206 | if isinstance(self.loadingforce, (list, tuple, np.ndarray)) and np.size(self.loadingforce, 1) == 3:
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207 | WriteData(fid, prefix, 'data', self.loadingforce[:, 0], 'format', 'DoubleMat', 'mattype', 1, 'name', 'md.stressbalance.loadingforcex')
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208 | WriteData(fid, prefix, 'data', self.loadingforce[:, 1], 'format', 'DoubleMat', 'mattype', 1, 'name', 'md.stressbalance.loadingforcey')
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209 | WriteData(fid, prefix, 'data', self.loadingforce[:, 2], 'format', 'DoubleMat', 'mattype', 1, 'name', 'md.stressbalance.loadingforcez')
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210 | # Process requested outputs
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211 | outputs = self.requested_outputs
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212 | indices = [i for i, x in enumerate(outputs) if x == 'default']
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213 | if len(indices) > 0:
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214 | outputscopy = outputs[0:max(0, indices[0] - 1)] + self.defaultoutputs(md) + outputs[indices[0] + 1:]
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215 | outputs = outputscopy
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216 | WriteData(fid, prefix, 'data', outputs, 'name', 'md.stressbalance.requested_outputs', 'format', 'StringArray')
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217 | # MLHO
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218 | if md.flowequation.isMLHO:
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219 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvx_base', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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220 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvy_base', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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221 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvx_shear', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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222 | WriteData(fid, prefix, 'object', self, 'class', 'stressbalance', 'fieldname', 'spcvy_shear', 'format', 'DoubleMat', 'mattype', 1, 'scale', 1. / yts, 'timeserieslength', md.mesh.numberofvertices + 1, 'yts', yts)
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223 | # }}}
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