domain_spheric_time_compact_ope.cpp

/*
    Copyright 2017 Philippe Grandclement
 
    This file is part of Kadath.
 
    Kadath 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 3 of the License, or
    (at your option) any later version.
 
    Kadath 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 Kadath.  If not, see <http://www.gnu.org/licenses/>.
*/
 
#include "headcpp.hpp"
#include "spheric_time.hpp"
#include "val_domain.hpp"
#include "array_math.hpp"
 
namespace Kadath {
int div_xm1_1d (int, Array<double>&) ;
int mult_xm1_1d (int, Array<double>&) ;
 
 
Val_domain Domain_spheric_time_compact::mult_xm1 (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(this) ;
 
    res.base= so.base ;
    
    res.cf = new Array<double> (so.base.ope_1d(mult_xm1_1d, 0, *so.cf, res.base)) ;
    res.in_coef = true ;
    return res ;
}
 
Val_domain Domain_spheric_time_compact::div_xm1 (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(this) ;
 
    res.base = so.base ;    
    
    res.cf = new Array<double> (so.base.ope_1d(div_xm1_1d, 0, *so.cf, res.base)) ;
    res.in_coef = true ;
    return res ;
}
 
Val_domain Domain_spheric_time_compact::mult_r (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(div_xm1(so)) ;
    res /= alpha ;
    return res ;
}
 
Val_domain Domain_spheric_time_compact::div_r (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(mult_xm1(so)) ;
    res *= alpha ;
    return res ;
}
 
Val_domain Domain_spheric_time_compact::der_r (const Val_domain& so) const {
  return (-alpha*so.der_var(1).mult_xm1().mult_xm1()) ;
}
 
 
Val_domain Domain_spheric_time_compact::ddt (const Val_domain& so) const {
  return (so.der_var(2).der_var(2)*4./(tmax-tmin)/(tmax-tmin)) ;
}
 
Val_domain Domain_spheric_time_compact::dt (const Val_domain& so) const {
  return (so.der_var(2)*2/(tmax-tmin)) ;
}
 
 
Val_domain Domain_spheric_time_compact::laplacian (const Val_domain& so, int m) const {
  if (m!=0) {
      cerr << "Laplacian only definnd for m=0 for Domain_spheric_compact" << endl ;
      abort() ;
  }
  Val_domain dr (so.der_var(1)/alpha) ;
  Val_domain res (dr.der_var(1)/alpha + div_r(2*dr)) ;
  return res ;
}
}