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############################################################################## |
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# |
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# Copyright (c) 2003-2020 by The University of Queensland |
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# http://www.uq.edu.au |
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# |
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# Primary Business: Queensland, Australia |
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# Licensed under the Apache License, version 2.0 |
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# http://www.apache.org/licenses/LICENSE-2.0 |
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# |
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# Development until 2012 by Earth Systems Science Computational Center (ESSCC) |
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# Development 2012-2013 by School of Earth Sciences |
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# Development from 2014 by Centre for Geoscience Computing (GeoComp) |
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# Development from 2019 by School of Earth and Environmental Sciences |
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# |
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############################################################################## |
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|
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from __future__ import division, print_function |
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|
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__copyright__="""Copyright (c) 2003-2020 by The University of Queensland |
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http://www.uq.edu.au |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Apache License, version 2.0 |
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http://www.apache.org/licenses/LICENSE-2.0""" |
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__url__="https://launchpad.net/escript-finley" |
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|
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from esys.escript import length, wherePositive, whereNegative, exp, inf, sup |
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from esys.escript.modelframe import Model,ParameterSet |
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from esys.escript.linearPDEs import LinearPDE |
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from math import log |
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import numpy |
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|
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class Sequencer(Model): |
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""" |
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Runs through time until t_end is reached. |
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|
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:ivar t_end: model is terminated when t_end is passed, default 1 (in). |
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:type t_end: ``float`` |
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:ivar dt_max: maximum time step size, default `Model.UNDEF_DT` (in) |
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:type dt_max: ``float`` |
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:ivar t: current time stamp (in/out). By default it is initialized with zero. |
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:type t: ``float`` |
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|
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""" |
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def __init__(self,**kwargs): |
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""" |
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""" |
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super(Sequencer,self).__init__(**kwargs) |
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self.declareParameter(t=0., |
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t_end=1., |
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dt_max=Model.UNDEF_DT) |
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|
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def doInitialization(self): |
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""" |
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initialize time integration |
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""" |
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self.__t_old = self.t |
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|
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def doStepPreprocessing(self, dt): |
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self.t = self.__t_old+dt |
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|
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def doStepPostprocessing(self, dt): |
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self.__t_old = self.t |
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|
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def finalize(self): |
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""" |
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returns true when `t` has reached `t_end` |
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""" |
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return self.t >= self.t_end |
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|
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def getSafeTimeStepSize(self, dt): |
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""" |
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returns `dt_max` |
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""" |
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return self.dt_max |
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|
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class GaussianProfile(ParameterSet): |
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""" |
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Generates a Gaussian profile at center x_c, width width and height A |
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over a domain |
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|
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:note: Instance variable domain - domain |
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:note: Instance variable x_c - center of the Gaussian profile (default [0.,0.,0.]) |
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:note: Instance variable A - (in) height of the profile. A maybe a vector. (default 1.) |
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:note: Instance variable width - (in) width of the profile (default 0.1) |
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:note: Instance variable r - (in) radius of the circle (default = 0) |
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|
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In the case that the spatial dimension is two, The third component of |
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x_c is dropped. |
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""" |
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def __init__(self,**kwargs): |
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super(GaussianProfile, self).__init__(**kwargs) |
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self.declareParameter(domain=None, |
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x_c=numpy.zeros([3]), |
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A=1., |
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width=0.1, |
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r=0) |
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|
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def out(self): |
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""" |
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Generate the Gaussian profile |
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|
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Link against this method to get the output of this model. |
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""" |
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x = self.domain.getX() |
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dim = self.domain.getDim() |
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l = length(x-self.x_c[:dim]) |
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m = whereNegative(l-self.r) |
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|
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return (m+(1.-m)*exp(-log(2.)*(l/self.width)**2))*self.A |
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|
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class InterpolateOverBox(ParameterSet): |
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""" |
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Returns values at each time. The values are defined through given values |
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at time node. For two dimensional domains back values are ignored. |
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|
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:note: Instance variable domain - domain |
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:note: Instance variable value_left_bottom_front - (in) value at left,bottom,front corner |
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:note: Instance variable value_right_bottom_front - (in) value at right, bottom, front corner |
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:note: Instance variable value_left_top_front - (in) value at left,top,front corner |
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:note: Instance variable value_right_top_front - (in) value at right,top,front corner |
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:note: Instance variable value_left_bottom_back - (in) value at left,bottom,back corner |
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:note: Instance variable value_right_bottom_back - (in) value at right,bottom,back corner |
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:note: Instance variable value_left_top_back - (in) value at left,top,back corner |
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:note: Instance variable value_right_top_back - (in) value at right,top,back corner |
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""" |
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|
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def __init__(self, **kwargs): |
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super(InterpolateOverBox, self).__init__(self) |
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self.declareParameter(domain=None, |
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value_left_bottom_front=0., |
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value_right_bottom_front=0., |
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value_left_top_front=0., |
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value_right_top_front=0., |
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value_left_bottom_back=0., |
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value_right_bottom_back=0., |
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value_left_top_back=0., |
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value_right_top_back=0.) |
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|
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|
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def out(self): |
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""" |
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values at domain locations by bilinear interpolation of the given values. |
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|
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Link against this method to get the output of this model. |
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""" |
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x = self.domain.getX() |
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if self.domain.getDim() == 2: |
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x0,x1=x[0],x[1] |
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left_bottom_front0,right_top_back0=inf(x0),sup(x0) |
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left_bottom_front1,right_top_back1=inf(x1),sup(x1) |
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f_right = (x0 - left_bottom_front0)/(right_top_back0 -left_bottom_front0) |
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f_left = 1. - f_right |
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f_top = (x1 - left_bottom_front1)/(right_top_back1 - left_bottom_front1) |
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f_bottom = 1. - f_top |
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out = f_left * f_bottom * self.value_left_bottom_front \ |
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+ f_right * f_bottom * self.value_right_bottom_front \ |
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+ f_left * f_top * self.value_left_top_front \ |
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+ f_right * f_top * self.value_right_top_front |
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else: |
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x0,x1,x2=x[0],x[1],x[2] |
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left_bottom_front0,right_top_back0=inf(x0),sup(x0) |
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left_bottom_front1,right_top_back1=inf(x1),sup(x1) |
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left_bottom_front2,right_top_back2=inf(x2),sup(x2) |
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f_right = (x0 - left_bottom_front0)/(right_top_back0 - left_bottom_front0) |
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f_left = 1. - f_right |
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f_top = (x1 - left_bottom_front1)/(right_top_back1 - left_bottom_front1) |
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f_bottom = 1. - f_top |
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f_back = (x2 - left_bottom_front1)/(right_top_back2 - left_bottom_front2) |
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f_front = 1. - f_back |
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out = f_left * f_bottom * f_front * self.value_left_bottom_front\ |
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+ f_right * f_bottom * f_front * self.value_right_bottom_front\ |
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+ f_left * f_top * f_front * self.value_left_top_front\ |
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+ f_right * f_top * f_front * self.value_right_top_front\ |
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+ f_left * f_bottom * f_back * self.value_left_bottom_back\ |
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+ f_right * f_bottom * f_back * self.value_right_bottom_back\ |
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+ f_left * f_top * f_back * self.value_left_top_back\ |
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+ f_right * f_top * f_back * self.value_right_top_back |
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return out |
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|
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|
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class InterpolatedTimeProfile(ParameterSet): |
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""" |
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|
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Returns values at each time. The values are defined through given |
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values at time node. |
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|
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value[i] defines the value at time nodes[i]. Between nodes linear |
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interpolation is used. |
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|
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For time t<nodes[0], value[0] is used and for t>nodes[l], values[l] |
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is used where l=len(nodes)-1. |
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|
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:note: Instance variable t - (in) current time |
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:note: Instance variable node - (in) list of time nodes |
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:note: Instance variable values - (in) list of values at time nodes |
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""" |
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|
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def __init__(self,**kwargs): |
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super( InterpolatedTimeProfile, self).__init__(**kwargs) |
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self.declareParameter(t=0., \ |
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nodes=[0.,1.],\ |
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values=[1.,1.]) |
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def out(self): |
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""" |
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current value |
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|
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Link against this method to get the output of this model. |
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""" |
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l = len(self.nodes) - 1 |
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t = self.t |
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if t <= self.nodes[0]: |
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return self.values[0] |
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else: |
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for i in range(1,l): |
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if t < self.nodes[i]: |
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m = (self.values[i-1] - self.values[i])/\ |
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(self.nodes[i-1] - self.nodes[i]) |
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return m*(t-self.nodes[i-1]) + self.values[i-1] |
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return self.values[l] |
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|
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class ScalarDistributionFromTags(ParameterSet): |
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""" |
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creates a scalar distribution on a domain from tags, If tag_map is given |
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the tags can be given a names and tag_map is used to map it into domain tags. |
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|
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:ivar domain: domain |
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:type domain: `esys.escript.Domain` |
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:ivar default: default value |
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:ivar tag0: tag 0 |
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:type tag0: ``int`` |
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:ivar value0: value for tag 0 |
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:type value0: ``float`` |
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:ivar tag1: tag 1 |
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:type tag1: ``int`` |
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:ivar value1: value for tag 1 |
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:type value1: ``float`` |
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:ivar tag2: tag 2 |
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:type tag2: ``int`` |
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:ivar value2: value for tag 2 |
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:type value2: ``float`` |
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:ivar tag3: tag 3 |
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:type tag3: ``int`` |
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:ivar value3: value for tag 3 |
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:type value3: ``float`` |
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:ivar tag4: tag 4 |
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:type tag4: ``int`` |
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:ivar value4: value for tag 4 |
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:type value4: ``float`` |
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:ivar tag5: tag 5 |
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:type tag5: ``int`` |
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:ivar value5: value for tag 5 |
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:type value5: ``float`` |
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:ivar tag6: tag 6 |
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:type tag6: ``int`` |
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:ivar value6: value for tag 6 |
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:type value6: ``float`` |
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:ivar tag7: tag 7 |
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:type tag7: ``int`` |
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:ivar value7: value for tag 7 |
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:type value7: ``float`` |
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:ivar tag8: tag 8 |
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:type tag8: ``int`` |
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:ivar value8: value for tag 8 |
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:type value8: ``float`` |
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:ivar tag9: tag 9 |
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:type tag9: ``int`` |
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:ivar value9: value for tag 9 |
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:type value9: ``float`` |
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""" |
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def __init__(self,**kwargs): |
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super(ScalarDistributionFromTags, self).__init__(**kwargs) |
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self.declareParameter(domain=None, |
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default=0., |
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tag0=None, |
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value0=0., |
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tag1=None, |
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value1=0., |
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tag2=None, |
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value2=0., |
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tag3=None, |
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value3=0., |
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tag4=None, |
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value4=0., |
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tag5=None, |
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value5=0., |
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tag6=None, |
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value6=0., |
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tag7=None, |
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value7=0., |
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tag8=None, |
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value8=0., |
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tag9=None, |
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value9=0.) |
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|
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|
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def out(self): |
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""" |
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returns a `esys.escript.Data` object |
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Link against this method to get the output of this model. |
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""" |
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d=Scalar(self.default,Function(self.domain)) |
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if not self.tag0 is None: d.setTaggedValue(self.tag0,self.value0) |
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if not self.tag1 is None: d.setTaggedValue(self.tag1,self.value1) |
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if not self.tag2 is None: d.setTaggedValue(self.tag2,self.value2) |
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if not self.tag3 is None: d.setTaggedValue(self.tag3,self.value3) |
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if not self.tag4 is None: d.setTaggedValue(self.tag4,self.value4) |
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if not self.tag5 is None: d.setTaggedValue(self.tag5,self.value5) |
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if not self.tag6 is None: d.setTaggedValue(self.tag6,self.value6) |
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if not self.tag7 is None: d.setTaggedValue(self.tag7,self.value7) |
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if not self.tag8 is None: d.setTaggedValue(self.tag8,self.value8) |
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if not self.tag9 is None: d.setTaggedValue(self.tag9,self.value9) |
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return d |
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|
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class SmoothScalarDistributionFromTags(ParameterSet): |
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""" |
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creates a smooth scalar distribution on a domain from region tags |
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|
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:ivar domain: domain |
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:type domain: `esys.escript.Domain` |
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:ivar default: default value |
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:ivar tag0: tag 0 |
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:type tag0: ``int`` |
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:ivar value0: value for tag 0 |
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:type value0: ``float`` |
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:ivar tag1: tag 1 |
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:type tag1: ``int`` |
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:ivar value1: value for tag 1 |
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:type value1: ``float`` |
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:ivar tag2: tag 2 |
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:type tag2: ``int`` |
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:ivar value2: value for tag 2 |
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:type value2: ``float`` |
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:ivar tag3: tag 3 |
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:type tag3: ``int`` |
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:ivar value3: value for tag 3 |
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:type value3: ``float`` |
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:ivar tag4: tag 4 |
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:type tag4: ``int`` |
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:ivar value4: value for tag 4 |
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:type value4: ``float`` |
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:ivar tag5: tag 5 |
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:type tag5: ``int`` |
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:ivar value5: value for tag 5 |
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:type value5: ``float`` |
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:ivar tag6: tag 6 |
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:type tag6: ``int`` |
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:ivar value6: value for tag 6 |
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:type value6: ``float`` |
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:ivar tag7: tag 7 |
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:type tag7: ``int`` |
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:ivar value7: value for tag 7 |
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:type value7: ``float`` |
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:ivar tag8: tag 8 |
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:type tag8: ``int`` |
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:ivar value8: value for tag 8 |
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:type value8: ``float`` |
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:ivar tag9: tag 9 |
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:type tag9: ``int`` |
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:ivar value9: value for tag 9 |
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:type value9: ``float`` |
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""" |
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def __init__(self,**kwargs): |
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super(SmoothScalarDistributionFromTags, self).__init__(**kwargs) |
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self.declareParameter(domain=None, |
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default=0., |
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tag0=None, |
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value0=0., |
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tag1=None, |
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value1=0., |
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tag2=None, |
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value2=0., |
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tag3=None, |
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value3=0., |
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tag4=None, |
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value4=0., |
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tag5=None, |
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value5=0., |
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tag6=None, |
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value6=0., |
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tag7=None, |
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value7=0., |
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tag8=None, |
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value8=0., |
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tag9=None, |
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value9=0.) |
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|
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|
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def __update(self,tag,tag_value,value): |
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if self.__pde==None: |
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self.__pde=LinearPDE(self.domain,numSolutions=1) |
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mask=Scalar(0.,Function(self.domain)) |
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mask.setTaggedValue(tag,1.) |
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self.__pde.setValue(Y=mask) |
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mask=wherePositive(abs(self.__pde.getRightHandSide())) |
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value*=(1.-mask) |
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value+=tag_value*mask |
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return value |
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|
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def out(self): |
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""" |
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returns a `esys.escript.Data` object |
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Link against this method to get the output of this model. |
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""" |
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d=Scalar(self.default,Solution(self.domain)) |
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self.__pde=None |
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if not self.tag0 is None: d=self.__update(self.tag0,self.value0,d) |
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if not self.tag1 is None: d=self.__update(self.tag1,self.value1,d) |
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if not self.tag2 is None: d=self.__update(self.tag2,self.value2,d) |
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if not self.tag3 is None: d=self.__update(self.tag3,self.value3,d) |
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if not self.tag4 is None: d=self.__update(self.tag4,self.value4,d) |
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if not self.tag5 is None: d=self.__update(self.tag5,self.value5,d) |
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if not self.tag6 is None: d=self.__update(self.tag6,self.value6,d) |
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if not self.tag7 is None: d=self.__update(self.tag7,self.value7,d) |
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if not self.tag8 is None: d=self.__update(self.tag8,self.value8,d) |
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if not self.tag9 is None: d=self.__update(self.tag9,self.value9,d) |
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return d |
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|
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class LinearCombination(ParameterSet): |
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""" |
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Returns a linear combination of the f0*v0+f1*v1+f2*v2+f3*v3+f4*v4 |
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|
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:ivar f0: numerical object or None, default=None (in) |
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:ivar v0: numerical object or None, default=None (in) |
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:ivar f1: numerical object or None, default=None (in) |
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:ivar v1: numerical object or None, default=None (in) |
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:ivar f2: numerical object or None, default=None (in) |
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:ivar v2: numerical object or None, default=None (in) |
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:ivar f3: numerical object or None, default=None (in) |
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:ivar v3: numerical object or None, default=None (in) |
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:ivar f4: numerical object or None, default=None (in) |
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:ivar v4: numerical object or None, default=None (in) |
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""" |
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def __init__(self,**kwargs): |
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super(LinearCombination, self).__init__(**kwargs) |
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self.declareParameter(f0=None, \ |
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v0=None, \ |
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f1=None, \ |
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v1=None, \ |
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f2=None, \ |
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v2=None, \ |
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f3=None, \ |
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v3=None, \ |
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f4=None, \ |
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v4=None) |
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|
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def out(self): |
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""" |
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returns f0*v0+f1*v1+f2*v2+f3*v3+f4*v4. |
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Link against this method to get the output of this model. |
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""" |
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if not self.f0 is None and not self.v0 is None: |
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fv0 = self.f0*self.v0 |
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else: |
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fv0 = None |
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|
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if not self.f1 is None and not self.v1 is None: |
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fv1 = self.f1*self.v1 |
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else: |
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fv1 = None |
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|
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if not self.f2 is None and not self.v2 is None: |
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fv2 = f2*v2 |
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else: |
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fv2 = None |
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|
| 467 |
if not self.f3 is None and not self.v3 is None: |
| 468 |
fv3 = self.f3*self.v3 |
| 469 |
else: |
| 470 |
fv3 = None |
| 471 |
|
| 472 |
if not self.f4 is None and not self.v4 is None: |
| 473 |
fv4 = self.f4*self.v4 |
| 474 |
else: |
| 475 |
fv4 = None |
| 476 |
|
| 477 |
if fv0 is None: |
| 478 |
out = 0. |
| 479 |
else: |
| 480 |
out = fv0 |
| 481 |
if not fv1 is None: |
| 482 |
out += fv1 |
| 483 |
if not fv2 is None: |
| 484 |
out += fv2 |
| 485 |
if not fv3 is None: |
| 486 |
out += fv3 |
| 487 |
return out |
| 488 |
|
| 489 |
class MergeConstraints(ParameterSet): |
| 490 |
""" |
| 491 |
Returns a linear combination of the f0*v0+f1*v1+f2*v2+f3*v3+f4*v4 |
| 492 |
""" |
| 493 |
def __init__(self,**kwargs): |
| 494 |
super(MergeConstraints, self).__init__(**kwargs) |
| 495 |
self.declareParameter(location_of_constraint0=None, \ |
| 496 |
value_of_constraint0=None, \ |
| 497 |
location_of_constraint1=None, \ |
| 498 |
value_of_constraint1=None, \ |
| 499 |
location_of_constraint2=None, \ |
| 500 |
value_of_constraint2=None, \ |
| 501 |
location_of_constraint3=None, \ |
| 502 |
value_of_constraint3=None, \ |
| 503 |
location_of_constraint4=None, \ |
| 504 |
value_of_constraint4=None) |
| 505 |
def location_of_constraint(self): |
| 506 |
""" |
| 507 |
return the values used to constrain a solution |
| 508 |
|
| 509 |
:return: the mask marking the locations of the constraints |
| 510 |
:rtype: `escript.Scalar` |
| 511 |
""" |
| 512 |
out_loc=0 |
| 513 |
if not self.location_of_constraint0 is None: |
| 514 |
out_loc=wherePositive(out_loc+wherePositive(self.location_of_constraint0)) |
| 515 |
if not self.location_of_constraint1 is None: |
| 516 |
out_loc=wherePositive(out_loc+wherePositive(self.location_of_constraint1)) |
| 517 |
if not self.location_of_constraint2 is None: |
| 518 |
out_loc=wherePositive(out_loc+wherePositive(self.location_of_constraint2)) |
| 519 |
if not self.location_of_constraint3 is None: |
| 520 |
out_loc=wherePositive(out_loc+wherePositive(self.location_of_constraint3)) |
| 521 |
return out_loc |
| 522 |
|
| 523 |
def value_of_constraint(self): |
| 524 |
""" |
| 525 |
return the values used to constrain a solution |
| 526 |
|
| 527 |
:return: values to be used at the locations of the constraints. If |
| 528 |
``value`` is not given ``None`` is rerturned. |
| 529 |
:rtype: `escript.Scalar` |
| 530 |
""" |
| 531 |
out_loc=0 |
| 532 |
out=0 |
| 533 |
if not self.location_of_constraint0 is None: |
| 534 |
tmp=wherePositive(self.location_of_constraint0) |
| 535 |
out=out*(1.-tmp)+self.value_of_constraint0*tmp |
| 536 |
out_loc=wherePositive(out_loc+tmp) |
| 537 |
if not self.location_of_constraint1 is None: |
| 538 |
tmp=wherePositive(self.location_of_constraint1) |
| 539 |
out=out*(1.-tmp)+self.value_of_constraint1*tmp |
| 540 |
out_loc=wherePositive(out_loc+tmp) |
| 541 |
if not self.location_of_constraint2 is None: |
| 542 |
tmp=wherePositive(self.location_of_constraint2) |
| 543 |
out=out*(1.-tmp)+self.value_of_constraint2*tmp |
| 544 |
out_loc=wherePositive(out_loc+tmp) |
| 545 |
if not self.location_of_constraint3 is None: |
| 546 |
tmp=wherePositive(self.location_of_constraint3) |
| 547 |
out=out*(1.-tmp)+self.value_of_constraint3*tmp |
| 548 |
out_loc=wherePositive(out_loc+tmp) |
| 549 |
return out |
| 550 |
# vim: expandtab shiftwidth=4: |
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