UPDATE_DAMPING_TENSOR.f90

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!    Copyright (C) 2012 The SPEED FOUNDATION
!    Author: Ilario Mazzieri
!
!    This file is part of SPEED.
!
!    SPEED is free software; you can redistribute it and/or modify it
!    under the terms of the GNU Affero General Public License as
!    published by the Free Software Foundation, either version 3 of the
!    License, or (at your option) any later version.
!
!    SPEED 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
!    Affero General Public License for more details.
!
!    You should have received a copy of the GNU Affero General Public License
!    along with SPEED.  If not, see <http://www.gnu.org/licenses/>.
 
 
 
      subroutine update_damping_tensor(nnod_loc, N_SLS, frequency_range, &
                                  strain_visc, strain, deltat)
 
      
      implicit none
                                                
 
      integer*4 :: nnod_loc, N_SLS, i
                         
      
      real*8 :: deltat, frequency_range(n_sls), strain_visc(6*nnod_loc,n_sls), &
                strain(6*nnod_loc), temp(6*nnod_loc, n_sls)
 
 
      
      do i = 1, n_sls
         !EXPLICIT EULER
         !temp(:,i) = strain_visc(:,i) + deltat*frequency_range(i)*(strain - strain_visc(:,i))
         !EXPLICIT HEUN
         temp(:,i) = strain_visc(:,i) + &
                     (deltat*frequency_range(i) - 0.5*(deltat*frequency_range(i))**2)*(strain - strain_visc(:,i))
         
 
      enddo
      
      strain_visc = temp;
 
 
      return
      
      end subroutine update_damping_tensor