[cig-commits] [commit] master: ... (51a5459)

cig_noreply at geodynamics.org cig_noreply at geodynamics.org
Tue May 20 12:20:12 PDT 2014


Repository : https://github.com/geodynamics/aspect

On branch  : master
Link       : https://github.com/geodynamics/aspect/compare/a21aaa79d75b89a3d50d5c865e7dc51d309da9b9...b2eaff9e459f8351633e8b4b43c1284c90373873

>---------------------------------------------------------------

commit 51a54593e7c14a707aa732a2195634b4f81a0954
Author: Siqi Zhang <siqi.zhang at mq.edu.au>
Date:   Mon May 19 12:25:32 2014 -0500

    ...


>---------------------------------------------------------------

51a54593e7c14a707aa732a2195634b4f81a0954
 source/initial_conditions/solidus.cc | 252 +++++++++++++++++++++++++++++++++++
 1 file changed, 252 insertions(+)

diff --git a/source/initial_conditions/solidus.cc b/source/initial_conditions/solidus.cc
new file mode 100644
index 0000000..50f039b
--- /dev/null
+++ b/source/initial_conditions/solidus.cc
@@ -0,0 +1,252 @@
+/*
+  Copyright (C) 2011, 2012 by the authors of the ASPECT code.
+
+  This file is part of ASPECT.
+
+  ASPECT is free software; you can redistribute it and/or modify
+  it under the terms of the GNU General Public License as published by
+  the Free Software Foundation; either version 2, or (at your option)
+  any later version.
+
+  ASPECT is distributed in the hope that it will be useful,
+  but WITHOUT ANY WARRANTY; without even the implied warranty of
+  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+  GNU General Public License for more details.
+
+  You should have received a copy of the GNU General Public License
+  along with ASPECT; see the file doc/COPYING.  If not see
+  <http://www.gnu.org/licenses/>.
+*/
+/*  $Id: function.cc 1389 2012-11-28 14:08:16Z bangerth $  */
+
+//#define _USE_MATH_DEFINES
+#include <cmath>
+#include <aspect/initial_conditions/solidus.h>
+#include <aspect/geometry_model/spherical_shell.h>
+#include <aspect/boundary_temperature/interface.h>
+#include <boost/math/special_functions/spherical_harmonic.hpp>
+
+namespace aspect
+{
+    namespace melting
+    {
+        Melting_curve::Melting_curve(const std::string &filename)
+        {
+            read(filename);
+        }
+        void Melting_curve::read(const std::string &filename)
+        {
+            std::ifstream in(filename.c_str(), std::ios::in);
+            char temp[256];
+            std::string T_Unit,P_Unit;
+          	        Num_points=0;
+            if(in.fail())return;
+            in.getline(temp,256);
+            in>>T_Unit>>P_Unit;
+            in.getline(temp,256);
+          	while(!in.eof())
+          	{
+                double T,p;
+                in>>T>>p;
+                if(!in.fail())
+                {
+                    //Unit switching
+                    if(T_Unit=="C")    T+=273.15; // Degree C to K
+                    if(P_Unit=="kbar") p*=1.e8;   // kbar to Pa
+                    if(P_Unit=="GPa")  p*=1.e9;   // GPa to Pa
+                    is_radius=false;              // Second column is pressure
+                    if(P_Unit=="km")
+                    {
+                        is_radius=true;           // Second column in radius instead of pressure
+                        p*=1.e3;                  // km to meters
+                    }
+                    T_array.push_back(T);
+                    P_array.push_back(p);
+                    Num_points++;
+              	}
+                in.getline(temp,256);
+          	}
+      	}
+        
+        double Melting_curve::T(const double p, const double radius) const
+        {
+            double T_value,P_value=is_radius?radius:p;
+            if(T_array.size()==0)return(0.);
+            for(unsigned i=1;i<Num_points;i++)
+            {
+                if(     (i==Num_points-1) || 
+                        (is_radius && P_value>P_array[i]) ||
+                        (!is_radius && P_value<P_array[i]) )
+                {
+                    T_value=T_array[i-1]+(T_array[i]-T_array[i-1])/(P_array[i]-P_array[i-1])*(P_value-P_array[i-1]);
+                    break;
+                }
+            }
+            return(T_value);
+        }
+        
+    }
+
+  namespace InitialConditions
+  {
+    template <int dim>
+    Solidus<dim>::Solidus ()
+    {}
+
+    template <int dim>
+    double
+    Solidus<dim>::
+    initial_temperature (const Point<dim> &position) const
+    {
+        double T_min,T_litho;
+        double T_solidus,T_perturbation;
+        double litho_thick_theta;
+		double lateral_perturbation;
+        double Depth=this->geometry_model->depth(position);
+        static melting::Melting_curve Solidus_curve(solidus_filename);
+
+        AssertThrow(Solidus_curve.is_radius==true,ExcMessage("The solidus curve has to be depth dependent."));
+        AssertThrow(Solidus_curve.Num_points!=0,ExcMessage("Error eading solidus file."));
+        const GeometryModel::SphericalShell<dim> *spherical_geometry_model=
+			dynamic_cast< const GeometryModel::SphericalShell<dim> *>(this->geometry_model);
+		AssertThrow(spherical_geometry_model!=0,
+                ExcMessage("This initial condition can only be work with sphereical shell geometry model."));
+        T_min=(this->get_boundary_temperature()).minimal_temperature();
+
+        // In case of spherical shell calculate spherical coordinates
+		const Tensor<1,dim> scoord = spherical_surface_coordinates(position);
+		if(dim==2)
+		{
+           // Use a sine as lateral perturbation that is scaled to the opening angle of the geometry.
+           // This way the perturbation is alway 0 at the model boundaries.
+           const double opening_angle = spherical_geometry_model->opening_angle()*numbers::PI/180.0;
+           lateral_perturbation = std::sin(lateral_wave_number_1*scoord[1]*numbers::PI/opening_angle);	
+		}
+		else if(dim==3)
+		{
+			// Spherical harmonics are only defined for order <= degree
+            // and degree >= 0. Verify that it is indeed.
+			Assert ( std::abs(lateral_wave_number_2) <= lateral_wave_number_1,
+                       ExcMessage ("Spherical harmonics can only be computed for "
+                                   "order <= degree."));
+            Assert ( lateral_wave_number_1 >= 0,
+                       ExcMessage ("Spherical harmonics can only be computed for "
+                                   "degree >= 0."));
+            // use a spherical harmonic function as lateral perturbation
+            lateral_perturbation = boost::math::spherical_harmonic_r(lateral_wave_number_1,lateral_wave_number_2,scoord[2],scoord[1]);
+		}
+        litho_thick_theta=litho_thick-Magnitude_lith*lateral_perturbation;
+        T_litho=Solidus_curve.T(0,spherical_geometry_model->R1-litho_thick_theta)+deltaT;
+        
+        if(litho_thick_theta>0 && Depth<litho_thick_theta)
+            T_solidus=T_min+(T_litho-T_min)*(Depth/litho_thick_theta);
+        else
+            T_solidus=Solidus_curve.T(0,sqrt(position.square()))+deltaT;
+
+        T_perturbation=Depth/( this->geometry_model->maximal_depth() )*Magnitude_T*lateral_perturbation;
+        return T_solidus+T_perturbation;
+    }
+    template <int dim>
+    const Tensor<1,dim>
+    Solidus<dim>::
+    spherical_surface_coordinates(const Tensor<1,dim> &position) const
+    {
+      Tensor<1,dim> scoord;
+
+      scoord[0] = std::sqrt(position.norm_square()); // R
+      scoord[1] = std::atan2(position[1],position[0]); // Phi
+      if (scoord[1] < 0.0) scoord[1] = 2*numbers::PI + scoord[1]; // correct phi to [0,2*pi]
+      if (dim==3)
+        scoord[2] = std::acos(position[2]/std::sqrt(position.norm_square())); // Theta
+
+      return scoord;
+    }
+
+    template <int dim>
+    void
+    Solidus<dim>::declare_parameters (ParameterHandler &prm)
+    {
+      prm.enter_subsection("Initial conditions");
+      {
+        prm.declare_entry ("Supersolidus","0e0",
+                           Patterns::Double (),
+                           "The difference from solidus.");
+        prm.declare_entry ("Lithosphere thickness","0",
+                           Patterns::Double (0),
+                           "The thickness of lithosphere thickness. Unit: m");        
+        prm.enter_subsection("Perturbation");
+        {
+            prm.declare_entry ("Temperature amplitude", "0e0",
+                               Patterns::Double (0),
+                               "The amplitude of the initial spherical temperature perturbation in (K)");
+            prm.declare_entry ("Lithosphere thickness amplitude", "0e0",
+                               Patterns::Double (),
+                               "The amplitude of the initial lithosphere thickness perturbation in (m)");
+            prm.declare_entry ("Lateral wave number one","3",
+                               Patterns::Integer(),
+                               "Doubled first lateral wave number of the harmonic perturbation. "
+                               "Equals the spherical harmonic degree in 3D spherical shells. "
+                               "In all other cases one equals half of a sine period over "
+                               "the model domain. This allows for single up-/downswings. "
+                               "Negative numbers reverse the sign of the perturbation but are "
+                               "not allowed for the spherical harmonic case.");
+            prm.declare_entry ("Lateral wave number two", "2",
+                               Patterns::Integer (),
+                               "Doubled second lateral wave number of the harmonic perturbation. "
+                               "Equals the spherical harmonic order in 3D spherical shells. "
+                               "In all other cases one equals half of a sine period over "
+                               "the model domain. This allows for single up-/downswings. "
+                               "Negative numbers reverse the sign of the perturbation.");
+        }
+        prm.leave_subsection();
+        prm.enter_subsection ("Data");
+        {
+            prm.declare_entry ("Solidus filename", "",
+                               Patterns::Anything(),
+                               "The solidus filename.");
+      	}
+        prm.leave_subsection();
+      }
+      prm.leave_subsection();
+    }
+
+
+    template <int dim>
+    void
+    Solidus<dim>::parse_parameters (ParameterHandler &prm)
+    {
+      prm.enter_subsection("Initial conditions");
+      {
+        deltaT=prm.get_double("Supersolidus");
+        litho_thick=prm.get_double("Lithosphere thickness");
+        prm.enter_subsection("Perturbation");
+        {
+            Magnitude_T    = prm.get_double("Temperature amplitude");
+            Magnitude_lith = prm.get_double("Lithosphere thickness amplitude");
+            lateral_wave_number_1 = prm.get_integer ("Lateral wave number one");
+            lateral_wave_number_2 = prm.get_integer ("Lateral wave number two");
+        }
+        prm.leave_subsection();
+        prm.enter_subsection("Data");
+        {
+            solidus_filename=prm.get ("Solidus filename");
+        }
+        prm.leave_subsection();
+      }
+      prm.leave_subsection();
+    }
+
+  }
+}
+
+// explicit instantiations
+namespace aspect
+{
+  namespace InitialConditions
+  {
+    ASPECT_REGISTER_INITIAL_CONDITIONS(Solidus,
+                                       "solidus",
+                                       "Temperature initial condition as solidus," 
+                                       "with perturbation as sin() funciton.");
+  }
+}



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