px_F_three_phases Subroutine

private subroutine px_F_three_phases(model, z0, zi, T, Xvars, ns, S, F, df)

Function to solve at each point of a three phase envelope.

The vector of variables X corresponds to:

While the equations are:

Arguments

Type IntentOptional Attributes Name
class(ArModel), intent(in) :: model
real(kind=pr), intent(in) :: z0(:)
real(kind=pr), intent(in) :: zi(:)
real(kind=pr), intent(in) :: T
real(kind=pr), intent(in) :: Xvars(:)

Vector of variables

integer, intent(in) :: ns

Number of specification

real(kind=pr), intent(in) :: S

Specification value

real(kind=pr), intent(out) :: F(size(Xvars))

Vector of functions valuated

real(kind=pr), intent(out) :: df(size(Xvars),size(Xvars))

Jacobian matrix


Variables

Type Visibility Attributes Name Initial
real(kind=pr), private :: Kx(size(z0))
real(kind=pr), private :: Ky(size(z0))
real(kind=pr), private :: P
real(kind=pr), private :: Vw
real(kind=pr), private :: Vx
real(kind=pr), private :: Vy
real(kind=pr), private :: alpha
real(kind=pr), private :: beta
real(kind=pr), private, dimension(size(z0), size(z0)) :: dlnphi_dn_w
real(kind=pr), private, dimension(size(z0), size(z0)) :: dlnphi_dn_x
real(kind=pr), private, dimension(size(z0), size(z0)) :: dlnphi_dn_y
real(kind=pr), private, dimension(size(z0)) :: dlnphi_dp_w
real(kind=pr), private, dimension(size(z0)) :: dlnphi_dp_x
real(kind=pr), private, dimension(size(z0)) :: dlnphi_dp_y
real(kind=pr), private, dimension(size(z0)) :: dlnphi_dt_w
real(kind=pr), private, dimension(size(z0)) :: dlnphi_dt_x
real(kind=pr), private, dimension(size(z0)) :: dlnphi_dt_y
real(kind=pr), private :: dwdKx(size(z0))
real(kind=pr), private :: dwdKy(size(z0))
real(kind=pr), private :: dwda(size(z0))
real(kind=pr), private :: dwdb(size(z0))
real(kind=pr), private :: dxdKx(size(z0))
real(kind=pr), private :: dxdKy(size(z0))
real(kind=pr), private :: dydKx(size(z0))
real(kind=pr), private :: dydKy(size(z0))
real(kind=pr), private :: dzda(size(z0))
integer, private :: i
integer, private :: j
real(kind=pr), private, dimension(size(z0)) :: lnphi_w
real(kind=pr), private, dimension(size(z0)) :: lnphi_x
real(kind=pr), private, dimension(size(z0)) :: lnphi_y
integer, private :: nc
real(kind=pr), private, dimension(size(z0)) :: w
real(kind=pr), private, dimension(size(z0)) :: x
real(kind=pr), private, dimension(size(z0)) :: y
real(kind=pr), private :: z(size(z0))