KADATH
domain_spheric_time_nucleus_ope.cpp
1 /*
2  Copyright 2017 Philippe Grandclement
3 
4  This file is part of Kadath.
5 
6  Kadath is free software: you can redistribute it and/or modify
7  it under the terms of the GNU General Public License as published by
8  the Free Software Foundation, either version 3 of the License, or
9  (at your option) any later version.
10 
11  Kadath is distributed in the hope that it will be useful,
12  but WITHOUT ANY WARRANTY; without even the implied warranty of
13  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14  GNU General Public License for more details.
15 
16  You should have received a copy of the GNU General Public License
17  along with Kadath. If not, see <http://www.gnu.org/licenses/>.
18 */
19 
20 #include "headcpp.hpp"
21 #include "spheric_time.hpp"
22 #include "val_domain.hpp"
23 #include "array_math.hpp"
24 namespace Kadath {
25 int div_x_1d (int, Array<double>&) ;
26 int mult_x_1d (int, Array<double>&) ;
27 
29  so.coef() ;
30  Val_domain res(this) ;
31 
32  res.base= so.base ;
33 
34  res.cf = new Array<double> (so.base.ope_1d(div_x_1d, 0, *so.cf, res.base)) ;
35  res.in_coef = true ;
36  return res ;
37 }
38 
40  so.coef() ;
41  Val_domain res(this) ;
42 
43  res.base= so.base ;
44 
45  res.cf = new Array<double> (so.base.ope_1d(mult_x_1d, 0, *so.cf, res.base)) ;
46  *res.cf *= alpha ;
47  res.in_coef = true ;
48  return res ;
49 }
50 
52  so.coef() ;
53  Val_domain res(this) ;
54 
55  res.base= so.base ;
56 
57  res.cf = new Array<double> (so.base.ope_1d(div_x_1d, 0, *so.cf, res.base)) ;
58  *res.cf /= alpha ;
59  res.in_coef = true ;
60  return res ;
61 }
62 
64  return (so.der_var(1)/alpha) ;
65 }
66 
67 
69  return (div_x(so.der_var(1)) / alpha / alpha) ;
70 }
71 
73  return (so.der_var(2).der_var(2)*4./(tmax-tmin)/(tmax-tmin)) ;
74 }
75 
77  return (so.der_var(2)*2/(tmax-tmin)) ;
78 }
79 
80 
82  if (m!=0) {
83  cerr << "Laplacian only definnd for m=0 for Domain_spheric_nucleus" << endl ;
84  abort() ;
85  }
86  Val_domain dr (so.der_var(1)/alpha) ;
87  Val_domain res (dr.der_var(1)/alpha + div_r(2*dr)) ;
88  return res ;
89 }
90 }
Array< double > ope_1d(int(*function)(int, Array< double > &), int var, const Array< double > &so, Base_spectral &base) const
One-dimensional operator acting in the coefficient space.
Definition: ope_1d.cpp:26
virtual Val_domain dt(const Val_domain &) const
Compute the derivative with respect to of a scalar field.
virtual Val_domain ddt(const Val_domain &) const
Compute the second derivative with respect to of a scalar field.
virtual Val_domain div_x(const Val_domain &) const
Division by .
virtual Val_domain srdr(const Val_domain &) const
Compute the of a scalar field .
double alpha
Relates the numerical to the physical radii.
virtual Val_domain der_r(const Val_domain &) const
Compute the radial derivative of a scalar field.
virtual Val_domain mult_r(const Val_domain &) const
Multiplication by .
virtual Val_domain div_r(const Val_domain &) const
Division by .
virtual Val_domain laplacian(const Val_domain &, int) const
Computes the ordinary flat Laplacian for a scalar field with an harmonic index m.
Class for storing the basis of decompositions of a field and its values on both the configuration and...
Definition: val_domain.hpp:69
Base_spectral base
Spectral basis of the field.
Definition: val_domain.hpp:72
Array< double > * cf
Pointer on the Array of the values in the coefficients space.
Definition: val_domain.hpp:77
bool in_coef
Is the field known in the coefficient space ?
Definition: val_domain.hpp:79
void coef() const
Computes the coefficients.
Definition: val_domain.cpp:622
Val_domain der_var(int i) const
Computes the derivative with respect to a numerical coordinate.
Definition: val_domain.cpp:670