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get_der_quadterm.f90
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get_der_quadterm.f90
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! BSD 2-Clause License
!
! Copyright (c) [2019] [Valeria Barra]
! All rights reserved.
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions are met:
!
! 1. Redistributions of source code must retain the above copyright notice, this
! list of conditions and the following disclaimer.
!
! 2. Redistributions in binary form must reproduce the above copyright notice,
! this list of conditions and the following disclaimer in the documentation
! and/or other materials provided with the distribution.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
! ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
! WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
! DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
! ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
! (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
! LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
! ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
! (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
! SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
SUBROUTINE get_der_quadterm(res,fderquadx0,fderquadxm)
USE nrtype
USE domain_space, ONLY: n, nmmax
USE mobility, ONLY: dquadterm, dmob
USE paras, ONLY: switch_x0, switch_xL
IMPLICIT NONE
!!$ form Jacobian of the nonlinear part for quadratic term times the third order derivative
!!$
!!$ fderquadx0(k): derivative of (fquad at (k-1/2)) w.r.t. res(k)
!!$ fderquadxm(k): derivative of (fquad at (k-1/2)) w.r.t. res(k-1)
REAL(DP), DIMENSION(nmmax), INTENT(IN) :: res
REAL(DP), DIMENSION(nmmax), INTENT(OUT) :: fderquadx0,fderquadxm
INTEGER(I4B) np,nm,k,km
np=n+1
nm=n-1
IF(switch_x0.EQ.1)THEN
fderquadx0(1)=dquadterm(res(1))
fderquadxm(1)=0.0d0
fderquadx0(2)=dquadterm(res(2))/2.0d0
fderquadxm(2)=dquadterm(res(1))/2.0d0
ELSEIF(switch_x0.EQ.2)THEN
fderquadx0(1)=dquadterm(res(1))
fderquadxm(1)=0.0d0
fderquadx0(2)=dquadterm(res(2))/2.0d0
fderquadxm(2)=dquadterm(res(1))/2.0d0
END IF
DO k=3,nm
km=k-1
fderquadx0(k)=dquadterm(res(k))/2.0d0
fderquadxm(k)=dquadterm(res(km))/2.0d0
END DO
IF(switch_xL.EQ.1)THEN
fderquadx0(n)=dquadterm(res(n))/2.0d0
fderquadxm(n)=dquadterm(res(nm))/2.0d0
fderquadx0(np)=0.0d0
fderquadxm(np)=dquadterm(res(n))
ELSEIF(switch_xL.EQ.2)THEN
fderquadx0(n)=dquadterm(res(n))/2.0d0
fderquadxm(n)=dquadterm(res(nm))/2.0d0
fderquadx0(np)=0.0d0
fderquadxm(np)=dquadterm(res(n))
END IF
RETURN
END SUBROUTINE get_der_quadterm