Subroutines to add advection terms to the RHS of a transport equation.

Data Types
type	adv_lin_dealias_t
	Type encapsulating advection routines with dealiasing. More...

Functions/Subroutines
subroutine	init_dealias (this, lxd, coef)
	Constructor.

subroutine	free_dealias (this)
	Destructor.

subroutine	compute_adjoint_advection_dealias (this, vx, vy, vz, vxb, vyb, vzb, fx, fy, fz, xh, coef, n)
	Add the adjoint advection term for the fluid in weak form, i.e. \( \int_\Omega v \cdot u' (\nabla \bar{U})^T u^\dagger d\Omega + \int_\Omega \nabla v \cdot (\bar{U} \otimes u^\dagger) d \Omega \), to the RHS.

subroutine	compute_linear_advection_dealias (this, vx, vy, vz, vxb, vyb, vzb, fx, fy, fz, xh, coef, n)
	Add the linearized advection term for the fluid, i.e. \(u' \cdot \nabla \bar{U} + \bar{U} \cdot \nabla u' \), to the RHS.

Function/Subroutine Documentation

◆ compute_adjoint_advection_dealias()

subroutine adv_lin_dealias::compute_adjoint_advection_dealias	(	class(adv_lin_dealias_t), intent(inout)	this,
		type(field_t), intent(inout)	vx,
		type(field_t), intent(inout)	vy,
		type(field_t), intent(inout)	vz,
		type(field_t), intent(inout)	vxb,
		type(field_t), intent(inout)	vyb,
		type(field_t), intent(inout)	vzb,
		type(field_t), intent(inout)	fx,
		type(field_t), intent(inout)	fy,
		type(field_t), intent(inout)	fz,
		type(space_t), intent(inout)	xh,
		type(coef_t), intent(inout)	coef,
		integer, intent(in)	n
	)

private

Parameters

vx	The x component of adjoint velocity.
vy	The y component of adjoint velocity.
vz	The z component of adjoint velocity.
vxb	The x component of baseflow.
vyb	The y component of baseflow.
vzb	The z component of baseflow.
fx	The x component of source term.
fy	The y component of source term.
fz	The z component of source term.
Xh	The function space.
coef	The coefficients of the (Xh, mesh) pair.
n	Typically the size of the mesh.

Definition at line 235 of file adv_adjoint_dealias.f90.

subroutine adv_lin_dealias::compute_linear_advection_dealias	(	class(adv_lin_dealias_t), intent(inout)	this,
		type(field_t), intent(inout)	vx,
		type(field_t), intent(inout)	vy,
		type(field_t), intent(inout)	vz,
		type(field_t), intent(inout)	vxb,
		type(field_t), intent(inout)	vyb,
		type(field_t), intent(inout)	vzb,
		type(field_t), intent(inout)	fx,
		type(field_t), intent(inout)	fy,
		type(field_t), intent(inout)	fz,
		type(space_t), intent(inout)	xh,
		type(coef_t), intent(inout)	coef,
		integer, intent(in)	n
	)

private

Parameters

vx	The x component of perturbed velocity.
vy	The y component of perturbed velocity.
vz	The z component of perturbed velocity.
vxb	The x component of baseflow.
vyb	The y component of baseflow.
vzb	The z component of baseflow.
fx	The x component of source term.
fy	The y component of source term.
fz	The z component of source term.
Xh	The function space.
coef	The coefficients of the (Xh, mesh) pair.
n	Typically the size of the mesh.

Definition at line 479 of file adv_adjoint_dealias.f90.

subroutine adv_lin_dealias::free_dealias ( class(adv_lin_dealias_t), intent(inout) this )

private

Definition at line 214 of file adv_adjoint_dealias.f90.

subroutine adv_lin_dealias::init_dealias	(	class(adv_lin_dealias_t), intent(inout), target	this,
		integer, intent(in)	lxd,
		type(coef_t), intent(inout), target	coef
	)

Parameters

lxd	The polynomial order of the space used in the dealiasing.
coef	The coefficients of the (space, mesh) pair.

Definition at line 137 of file adv_adjoint_dealias.f90.