dallaston2015_melt_mod

Provides an implementation of abstract_melt_relationship which mimics the simple model used by Dallaston, Hewitt, and Wells (2015) for an ice shelf melting into a vertically integrated plume.

Uses

Help
Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.

Used by

Help
Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.

Functions

constructor dallaston2015_heat dallaston2015_salt dallaston2015_melt_rate dallaston2015_has_heat dallaston2015_has_salt

Interfaces

public interface dallaston2015_melt

private pure function constructor(beta, melt_conversion, salinity_denom) result(this)

Arguments

Type	Intent	Optional		Name
real(kind=r8),	intent(in)		::	beta	The inverse stefan number, $\frac{c(T_a - T_m)}{L}$
real(kind=r8),	intent(in)		::	melt_conversion	The factor to convert between the scale for melt used by Dallaston et al. (2015) and that used in ISOFT, $\frac{m_0x_0}{D_0U_0},$ where $m_0$ is the melt scale used by Dalalston et al.
real(kind=r8),	intent(in),	optional	::	salinity_denom	The factor which, when used to divide the `melt_conversion` term, produces a conversion factor for the melt-terms in the salinity equation of Dallaston et al. (2015). It has the form $\frac{Q_{g0}}{D_0U_0},$ where $Q_{g0}$ is the subglacial discharge across the grounding line.

Return Value type(dallaston2015_melt)

The newly created object representing the melt relationship.

Derived Types

type, public, extends(abstract_melt_relationship) :: dallaston2015_melt

A parameterisation of melting into a plume which comes from heavily simplifying the 3 equation model. It is taken from Dallaston, Hewitt, and Wells (2015). The melt rate, as well as effect on termperature and salinity, are calculated by calling solve_for_melt and then accessed using melt_rate, heat_equation_terms, salt_equation_terms.

Components

Type	Visibility	Attributes		Name		Initial
class(scalar_field),	public,	allocatable	::	melt_values			Stores the resulting melt rate
real(kind=r8),	public		::	coef	=	1449.29936	The coefficient by which the melt rate is multiplied in order to determine the contribution to the heat equation.
real(kind=r8),	public		::	melt_conversion	=	6.9e-4_r8	The factor to convert between the scale for melt used by Dallaston et al. (2015) and that used in ISOFT, $\frac{m_0x_0}{D_0U_0},$ where $m_0$ is the melt scale used by Dalalston et al.
real(kind=r8),	public		::	salinity_denom	=	1e100_r8

Constructor

private pure function constructor(beta, melt_conversion, salinity_denom)

Type-Bound Procedures

procedure, public :: solve_for_melt => dallaston2015_solve
procedure, public :: heat_equation_terms => dallaston2015_heat	Returns the terms this melt formulation contributes to the heat equation, after they have been solved for using solve_for_melt.
procedure, public :: salt_equation_terms => dallaston2015_salt	Returns the terms this melt formulation contributes to the salt equation, after they have been solved for using solve_for_melt.
procedure, public :: melt_rate => dallaston2015_melt_rate	Returns the melt rate calculated using this formulation, after it has been solved for using solve_for_melt.
procedure, public :: has_heat_terms => dallaston2015_has_heat	Whether this formulation of melting contributes any terms to a plume's heat equation.
procedure, public :: has_salt_terms => dallaston2015_has_salt	Whether this formulation of melting contributes any terms to a plume's salinity equation.

Functions

private pure function constructor(beta, melt_conversion, salinity_denom) result(this)

Arguments

Type	Intent	Optional		Name
real(kind=r8),	intent(in)		::	beta	The inverse stefan number, $\frac{c(T_a - T_m)}{L}$
real(kind=r8),	intent(in)		::	melt_conversion	The factor to convert between the scale for melt used by Dallaston et al. (2015) and that used in ISOFT, $\frac{m_0x_0}{D_0U_0},$ where $m_0$ is the melt scale used by Dalalston et al.
real(kind=r8),	intent(in),	optional	::	salinity_denom	The factor which, when used to divide the `melt_conversion` term, produces a conversion factor for the melt-terms in the salinity equation of Dallaston et al. (2015). It has the form $\frac{Q_{g0}}{D_0U_0},$ where $Q_{g0}$ is the subglacial discharge across the grounding line.

Return Value type(dallaston2015_melt)

The newly created object representing the melt relationship.

private function dallaston2015_heat(this) result(heat)

Arguments

Type	Intent	Optional	Attributes		Name
class(dallaston2015_melt),	intent(in)			::	this

Return Value class(scalar_field), pointer

The value of the contribution made by melting/thermal transfer to the heat equation for a plume

private function dallaston2015_salt(this) result(salt)

Arguments

Type	Intent	Optional	Attributes		Name
class(dallaston2015_melt),	intent(in)			::	this

Return Value class(scalar_field), pointer

The value of the contribution made by melting/thermal transfer to the salt equation for a plume

private function dallaston2015_melt_rate(this) result(melt)

Arguments

Type	Intent	Optional	Attributes		Name
class(dallaston2015_melt),	intent(in)			::	this

Return Value class(scalar_field), pointer

The melt rate from the ice into the plume water.

private pure function dallaston2015_has_heat(this) result(has_heat)

Arguments

Type	Intent	Optional	Attributes		Name
class(dallaston2015_melt),	intent(in)			::	this

Return Value logical

Whether this formulation of melting contributes terms to the heat equation of the plume.

private pure function dallaston2015_has_salt(this) result(has_salt)

Arguments

Type	Intent	Optional	Attributes		Name
class(dallaston2015_melt),	intent(in)			::	this

Return Value logical

Whether this formulation of melting contributes terms to the salinity equation of the plume.

Subroutines

private subroutine dallaston2015_solve(this, velocity, pressure, temperature, salinity, plume_thickness, time)

Arguments

Type	Intent	Optional		Name
class(dallaston2015_melt),	intent(inout)		::	this
class(vector_field),	intent(in)		::	velocity	The velocity field of the plume into which fluid is melting.
class(scalar_field),	intent(in)		::	pressure	The water pressure at the interface where the melting occurs.
class(scalar_field),	intent(in)		::	temperature	The temperature of the plume into which fluid is melting.
class(scalar_field),	intent(in)		::	salinity	The salinity of the plume into which fluid is melting.
class(scalar_field),	intent(in)		::	plume_thickness	The thickness of the plume into which fluid is melting.
real(kind=r8),	intent(in),	optional	::	time	The time at which the melting is being solved for. If not present then assumed to be same as previous value passed.

dallaston2015_melt_mod Module

Contents

Uses

Used by

Contents

Interfaces

public interface dallaston2015_melt

private pure function constructor(beta, melt_conversion, salinity_denom) result(this)

Arguments

Return Value type(dallaston2015_melt)

Derived Types

type, public, extends(abstract_melt_relationship) :: dallaston2015_melt

Components

Constructor

Type-Bound Procedures

Functions

private pure function constructor(beta, melt_conversion, salinity_denom) result(this)

Arguments

Return Value type(dallaston2015_melt)

private function dallaston2015_heat(this) result(heat)

Arguments

Return Value class(scalar_field), pointer

private function dallaston2015_salt(this) result(salt)

Arguments

Return Value class(scalar_field), pointer

private function dallaston2015_melt_rate(this) result(melt)

Arguments

Return Value class(scalar_field), pointer

private pure function dallaston2015_has_heat(this) result(has_heat)

Arguments

Return Value logical

private pure function dallaston2015_has_salt(this) result(has_salt)

Arguments

Return Value logical

Subroutines

private subroutine dallaston2015_solve(this, velocity, pressure, temperature, salinity, plume_thickness, time)

Arguments