tem_spatial_module

Spatial functions let you describe functions that may vary in space. The are needed for initial conditions and volumetric information like source terms. A space-time function that depends also on time can be constructed by the space-time function of kind combined, see the tem_spacetime_fun_module.

The spatial functions may be constants, various predefined functions, or arbitrary Lua functions that depend on the three space coordinates. In the Lua script, the spatial function is either a constant scalar number, a Lua function, or a table.

If it is a table, it either is a constant definition for a vector value, for example a velocity definition, or it is a table that contains a definition of either a fun, const or predefined key. Here, fun would in turn need to be a Lua function, and const the definition of constant values (either a scalar, or a vector in a table). The predefined key signals the use of one of the available predefined functions and further parameters for their definition depend on the respective functions.

Available predefined functions are:

'crvpx' load_ic_2dcrvp
'crvpy' load_ic_2dcrvp
'crvppressure' load_ic_2dcrvp
'cylindricalwave' tem_cylindricalWave_module
'gausspulse' load_ic_gausspulse
'heaviside_gibbs' tem_load_heaviside_gibbs
'miescatter_magneticfieldx' tem_load_miescatter
'miescatter_magneticfieldy' tem_load_miescatter
'parabol' load_spatial_parabol
'pml' tem_pmlLayer_module
'polygon_material' tem_polygon_material_module
'polygon_material_3d' tem_polygon_material_module
'random' load_spatial_random
'rectangular'
'spongelayer_plane' tem_spongeLayer_module
'spongelayer_plane_1d' tem_spongeLayer_module
'viscous_spongelayer_radial' tem_load_spongeLayer_radial
'viscous_spongelayer_radial_2d' tem_load_spongeLayer_radial
'viscous_spongelayer_box' tem_load_spongeLayer_box
'viscous_spongelayer_box_2d' tem_load_spongeLayer_box
'spongelayer_box' tem_load_spongeLayer_box
'spongelayer_box' tem_load_spongeLayer_box
'spongelayer_box_2d' tem_load_spongeLayer_box
'spongelayer_radial' tem_load_spongeLayer_radial
'tgv_p' load_ic_tgv
'tgv_ux' load_ic_tgv
'tgv_uy' load_ic_tgv
'tgv_sxx' load_ic_tgv
'tgv_sxz' load_ic_tgv
'tgv_syy' load_ic_tgv
'tgv_syz' load_ic_tgv

The simplest spatial function definition is just a constant scalar number:

  spatial = 1.0

Similarly the definition of a spatial function by a Lua function can simply be written as

  spatial = fun(x,y,z)
    return x*y*z
  end fun

The Lua function needs to take 3 arguments, representing the three spatial coordinates.

An example for the definition of a predefined function can take the following form:

  spatial = {
    predefined = 'random',
    min = 0,
    max = 1
  }

Uses

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Used by

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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.

Variables

ref_amp

Variables

Type	Visibility	Attributes		Name		Initial
real(kind=rk),	private		::	ref_amp	=	1.0_rk

Interfaces

public interface tem_spatial_lua_for

private function tem_spatial_lua_for_treeIds(fun_ref, conf, treeIds, tree, n) result(res)

This function invokes the Lua function, in which the barycentric coordinates are computed from treeIds of an element.

Lua function defined in the script is connected to the conf handle and return the result of the function. The Lua function takes barycentric coordinate as input argument i.e fun_name(x,y,z)

Arguments

Type	Intent		Name
integer,	intent(in)	::	fun_ref	Lua reference to the function to evaluate.
type(flu_State)		::	conf	lua state
integer(kind=long_k),	intent(in)	::	treeIds(n)	treeIds of elements in given level
type(treelmesh_type),	intent(in)	::	tree	global treelm mesh
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value

private function tem_spatial_lua_for_coord(fun_ref, conf, coord, n) result(res)

This function invokes the Lua function, which takes barycentric coordinates of an element.

Lua function defined in the script is connected to the conf handle and return the result of the function. The Lua function takes barycentric coordinate as input argument i.e fun_name(x,y,z)

Arguments

Type	Intent		Name
integer,	intent(in)	::	fun_ref	Lua reference to the function to evaluate.
type(flu_State)		::	conf	lua state
real(kind=rk),	intent(in)	::	coord(n,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value

private function tem_spatial_lua_for_index(fun_ref, conf, grwPnt, idx, nVals) result(res)

This function invokes the Lua function, which takes tem_grwPoints_type and evaluate a function at a point of given idx in grwPnt.

Lua function defined in the script is connected to the conf handle and return the result of the function. The Lua function takes barycentric coordinate as input argument i.e fun_name(x,y,z)

Arguments

Type	Intent		Name
integer,	intent(in)	::	fun_ref	Lua reference to the function to evaluate.
type(flu_State)		::	conf	lua state
type(tem_grwPoints_type),	intent(in)	::	grwPnt	growing array of all spatial point of a variable
integer,	intent(in)	::	idx(nVals)	Index position to return a pre-store value or to compute
integer,	intent(in)	::	nVals	number of return values

Return Value real(kind=rk), (nVals)

return value

private function tem_spatial_lua_vector_for_treeIds(fun_ref, conf, treeIds, tree, n, ncomp) result(res)

This function invokes the vectorial Lua function, in which the barycentric coordinates are computed from treeIds of an element.

Lua function defined in the script is connected to the conf handle and return the result of the function. The Lua function takes barycentric coordinate as input argument i.e fun_name(x,y,z)

Arguments

Type	Intent		Name
integer,	intent(in)	::	fun_ref	Lua reference to the function to evaluate.
type(flu_State)		::	conf	lua state
integer(kind=long_k),	intent(in)	::	treeIds(n)	treeIds of elements in given level
type(treelmesh_type),	intent(in)	::	tree	global treelm mesh
integer,	intent(in)	::	n	number of return values
integer,	intent(in)	::	ncomp	Number of components in each returned value

Return Value real(kind=rk), (n,ncomp)

return value

private function tem_spatial_lua_vector_for_coord(fun_ref, conf, coord, n, ncomp) result(res)

This function invokes the vectorial Lua function, which takes barycentric coordinates of an element.

Lua function defined in the script is connected to the conf handle and return the result of the function. The Lua function takes barycentric coordinate as input argument i.e fun_name(x,y,z)

Arguments

Type	Intent	Optional		Name
integer,	intent(in)		::	fun_ref	Lua reference to the function to evaluate.
type(flu_State),		optional	::	conf	lua state
real(kind=rk),	intent(in)		::	coord(n,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)		::	n	number of return values
integer,	intent(in)		::	ncomp	number of components in the resulting vector

Return Value real(kind=rk), (n,ncomp)

return value

private function tem_spatial_lua_vector_for_index(fun_ref, conf, grwPnt, idx, nVals, nComps) result(res)

This function invokes the vectorial Lua function, which takes tem_grwPoints_type and evaluate a function at a point of given idx in grwPnt.

Lua function defined in the script is connected to the conf handle and return the result of the function. The Lua function takes barycentric coordinate as input argument i.e fun_name(x,y,z)

Arguments

Type	Intent		Name
integer,	intent(in)	::	fun_ref	Lua reference to the function to evaluate.
type(flu_State)		::	conf	lua state
type(tem_grwPoints_type),	intent(in)	::	grwPnt	growing array of all spatial point of a variable
integer,	intent(in)	::	idx(nVals)	Index position to return a pre-store value or to compute
integer,	intent(in)	::	nVals	number of return values
integer,	intent(in)	::	nComps	number of components per returned value

Return Value real(kind=rk), (nVals,nComps)

return value

public interface tem_spatial_parabol2d_for

private function tem_spatial_parabol2d_for_treeIds(me, treeIds, tree, n) result(res)

This function computes 2d parabola profile from treeIds of elements

This profile is defined by element barycentric coordinate and 2d parabola parameters. 2D parabola profile at given plane is computed in the following way:

Project barycentric coordinate vector in a given plane via $alpha = ((baryCoord - center) \cdot vecA)/\sqrt(vecA\cdot vecA)$
Compute spatial value using $res = (1+alpha)*(1-alpha)$ Actual parabola 2d formula: \f$ (y-y_0) = a(x-x_0)^2 ) parabola open towards opposite x and with vertex at (1,0) is given by $y = (1-x)^2$

Arguments

Type	Intent		Name
type(tem_canonicalND_type)		::	me	contains parameters for 2d parabola
integer(kind=long_k),	intent(in)	::	treeIds(n)	treeIds of elements in given level
type(treelmesh_type),	intent(in)	::	tree	global treelm mesh
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value of a function

private function tem_spatial_parabol2d_for_coord(me, coord, n) result(res)

This function computes 2d parabola profile from coord of elements

This profile is defined by element barycentric coordinate and 2d parabola parameters. 2D parabola profile at given plane is computed in the following way:

Project barycentric coordinate vector in a given plane via $alpha = ((baryCoord - center) \cdot vecA)/\sqrt(vecA\cdot vecA)$
Compute spatial value using $res = (1+alpha)*(1-alpha)$

Arguments

Type	Intent		Name
type(tem_canonicalND_type)		::	me	contains line parameters for 2d parabola
real(kind=rk),	intent(in)	::	coord(n,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value of a function

public interface tem_spatial_parabol3d_for

private function tem_spatial_parabol3d_for_treeIds(me, treeIds, tree, n) result(res)

This function computes 3d parabola profile from treeIDs of an element.

This profile is defined by element barycentric coordinate and 3d parabola parameters. 3D parabola profile at given plane is computed in the following way:

Project barycentric coordinate vector in a given plane via $\alpha = ((baryCoord - center) \cdot vecA)/\sqrt{ vecA\cdot vecA }$
Compute spatial value using $res = (1+\alpha)*(1-\alpha)*(1+\beta)*(1-\beta)$ Example: Parabolic 3D profile at channel inlet.

parabolic3d

Arguments

Type	Intent		Name
type(tem_canonicalND_type)		::	me	contains plane parameter for 3d parabola
integer(kind=long_k),	intent(in)	::	treeIds(n)	treeIds of elements in given level
type(treelmesh_type),	intent(in)	::	tree	global treelm mesh
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value of a function

private function tem_spatial_parabol3d_for_coord(me, coord, n) result(res)

This function computes 3d parabola profile from coord of an element.

This profile is defined by element barycentric coordinate and 3d parabola parameters. 3D parabola profile at given plane is computed in the following way:

Project barycentric coordinate vector in a given plane via $\alpha = ((baryCoord - center) \cdot vecA)/\sqrt{ vecA\cdot vecA }$
Compute spatial value using $res = (1+\alpha)*(1-\alpha)*(1+\beta)*(1-\beta)$ Example: Parabolic 3D profile at channel inlet.

Todo

use projection of point on line and point on plane

Arguments

Type	Intent		Name
type(tem_canonicalND_type)		::	me	contains parameter for 3d parabola
real(kind=rk),	intent(in)	::	coord(n,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	n	the number of return values

Return Value real(kind=rk), (n)

return value of a function

public interface tem_spatial_for

private function tem_spatial_for_treeIDs(me, treeIds, tree, n) result(res)

This function invokes different spatial boundary kinds like constant, lua function or predefined Fortran function for given treeIDs

If a spatial block is not defined, default value is set to 1.0 or default value passed while loading tem_load_spatial. If both spatial and temporal block are not defined in the lua file, the return value = 1.0_rk. based spatial_kind(kind).

const - set constant value
lua_fun - lua function
gausspulse - fortran gauss pulse function
2dcrvp - fortran spinning vortex function
parabol - fotran parabolic function

Arguments

Type	Intent		Name
type(tem_spatial_type)		::	me	spatial type for given boundary state
integer(kind=long_k),	intent(in)	::	treeIds(n)	treeIds of elements in given level
type(treelmesh_type),	intent(in)	::	tree	global treelm mesh
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value of a function

private function tem_spatial_for_coord(me, coord, n) result(res)

This function invokes different spatial boundary kinds like constant, lua function or predefined Fortran function for given coord

If a spatial block is not defined and a temporal block is defined in the lua file, the return value is either 1.0 or default value provided in tem_load_spatial. If both spatial and temporal block are not defined in the lua file, the return value = 1.0_rk. based spatial_kind(kind).

const - set constant value
lua_fun - lua function
gausspulse - fortran gauss pulse function
2dcrvp - fortran spinning vortex function
parabol - fotran parabolic function

Arguments

Type	Intent		Name
type(tem_spatial_type),	intent(in)	::	me	spatial type for given boundary state
real(kind=rk),	intent(in)	::	coord(n,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	n	number of return values

Return Value real(kind=rk), (n)

return value of a function

private function tem_spatial_vector_for_treeIDs(me, treeIds, tree, n, ncomp) result(res)

Arguments

Type	Intent		Name
type(tem_spatial_type)		::	me	spatial type for given boundary state
integer(kind=long_k),	intent(in)	::	treeIds(n)	treeIds of elements in given level
type(treelmesh_type),	intent(in)	::	tree	global treelm mesh
integer,	intent(in)	::	n	number of return values
integer,	intent(in)	::	ncomp	number of components in the resulting vector

Return Value real(kind=rk), (n,ncomp)

return value of a function

private function tem_spatial_vector_for_coord(me, coord, n, ncomp) result(res)

This function invokes different spatial boundary kinds like constant, lua function or predefined Fortran function for given coord

If a spatial block is not defined and a temporal block is defined in the lua file, the return value = ref_value. If both spatial and temporal block are not defined in the lua file, the return value = 1.0_rk. based spatial_kind(kind).

const - set constant value
lua_fun - lua function
gausspulse - fortran gauss pulse function
2dcrvp - fortran spinning vortex function
parabol - fotran parabolic function

Arguments

Type	Intent		Name
type(tem_spatial_type)		::	me	spatial type for given boundary state
real(kind=rk),	intent(in)	::	coord(n,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	n	number of return values
integer,	intent(in)	::	ncomp	number of components per returned value

Return Value real(kind=rk), (n,ncomp)

return value of a function

private function tem_spatial_scalar_for_index(me, grwPnt, idx, nVals, iLevel) result(res)

This function returns pre-stored value at given idx or evaluate a spatial function for a point at given idx in growing array of points. Return value is a scalar.

Arguments

Type	Intent		Name
type(tem_spatial_type),	intent(in)	::	me	spatial type
type(tem_grwPoints_type),	intent(in)	::	grwPnt	growing array of all spatial point of a variable
integer,	intent(in)	::	idx(nVals)	Index position to return a pre-store value or to compute
integer,	intent(in)	::	nVals	number of return values
integer,	intent(in)	::	iLevel	Level to which the evaluated values to be returned

Return Value real(kind=rk), (nVals)

return value of a function

private function tem_spatial_vector_for_index(me, grwPnt, idx, nVals, iLevel, nComps) result(res)

This function returns pre-stored value at given idx or evaluate a spatial function for a point at given idx. Return value is a vector.

Arguments

Type	Intent		Name
type(tem_spatial_type),	intent(in)	::	me	spatial type
type(tem_grwPoints_type),	intent(in)	::	grwPnt	growing array of all spatial point of a variable
integer,	intent(in)	::	idx(nVals)	Index position to return a pre-store value or to compute
integer,	intent(in)	::	nVals	number of return values
integer,	intent(in)	::	iLevel	Level to which the evaluated values to be returned
integer,	intent(in)	::	nComps	number of components per returned value

Return Value real(kind=rk), (nVals,nComps)

return value of a function

public interface tem_spatial_storeVal

private subroutine tem_spatial_scalar_storeVal(me, coord, nVals, iLevel)

This routine evaluate scalar spatial function and store its value in growing array

Arguments

Type	Intent		Name
type(tem_spatial_type),	intent(inout)	::	me	spatial type for given boundary state
real(kind=rk),	intent(in)	::	coord(nVals,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	nVals	number of return values
integer,	intent(in)	::	iLevel	Level to which the evaluated values to be stored

private subroutine tem_spatial_vector_storeVal(me, coord, nVals, iLevel, nComps)

This routine evaluate vector spatial function and store its value in growing array with access Array Of Structure pattern (iVal-1)*nComps + iComp

Arguments

Type	Intent		Name
type(tem_spatial_type),	intent(inout)	::	me	spatial type for given boundary state
real(kind=rk),	intent(in)	::	coord(nVals,3)	barycentric Ids of an elements. 1st index goes over number of elements and 2nd index goes over x,y,z coordinates
integer,	intent(in)	::	nVals	number of return values
integer,	intent(in)	::	iLevel	Level to which the evaluated values to be stored
integer,	intent(in)	::	nComps	number of components per returned value

Derived Types

type, public :: tem_spatial_type

contains spatial state information

Components

Type	Visibility	Attributes		Name		Initial
character(len=LabelLen),	public		::	kind			Read more…
real(kind=rk),	public,	allocatable	::	const(:)			constant spatial value for nComponents
integer,	public		::	lua_fun_ref	=	0	Reference to the Lua function if the spatial function is defined as a Lua function.
type(flu_State),	public		::	conf
type(ic_gausspulse_type),	public		::	gausspulse			defines gausspulse
type(ic_2dcrvp_type),	public		::	crvp			2d co-rotating vortex pair
type(ic_tgv_type),	public		::	tgv			Taylor-Green vortex type
type(spatial_parabol_type),	public		::	parabol			Parabol type
type(spatial_random_type),	public		::	random			Random type
type(spatial_hopf_type),	public		::	hopf			Hopf Fibration type
type(tem_miescatter_field_type),	public		::	mie_fun			Spatial function for Mie-series solution of electrodynamic scattering at dielectric sphere.
type(tem_heaviside_gibbs_type),	public		::	heaviside_gibbs_fun			Spatial function for Heaviside function including Gibbs oscillations.
type(spatial_value_type),	public		::	valOnLvl(globalMaxLevels)			store spatial value on each level
type(tem_spongeLayer_plane_type),	public		::	spongePlane			type for the plane sponge layer
type(tem_spongeLayer_box_type),	public		::	spongeBox			type for the box sponge layer
type(tem_spongeLayer_radial_type),	public		::	spongeRadial			type for the radial sponge layer
type(tem_pmlLayer_type),	public		::	pml			type for the pml damping medium
type(tem_cylindricalWave_type),	public		::	cylindricalWave			type for a scalar cylindrical wave.
type(tem_polygon_material_type),	public		::	polygon_material			Description of a material definition by a polygon.
real(kind=rk),	public		::	rect_ly			range of x and y dimention for rectangular function
real(kind=rk),	public		::	rect_lz
logical,	public		::	isStored	=	.false.	to store spatial values during initialization

type, private :: spatial_value_type

stores values of spatial term during initialization to reduce computations during main loop.

Components

Type	Visibility	Attributes		Name		Initial
type(grw_realarray_type),	public		::	evalVal			Evaluated variable value on each point. For vectorial variable, the values are stored as (iVal-1)*nComp + iComp

type, private :: spatial_parabol_type

defines parabola functions shape kind defines 2d or 3d parabola

Components

Type	Visibility	Attributes		Name		Initial
type(tem_shape_type),	public		::	geometry			define point, line or plane spatial profile
real(kind=rk),	public,	allocatable	::	amplitude(:)			magnitude of the spatial value

type, private :: spatial_random_type

Defines a random spatial distribution within a given interval.

Components

Type	Visibility		Name
real(kind=rk),	public	::	val_min	Minimal value to produce
real(kind=rk),	public	::	val_max	Maximal value to produce
real(kind=rk),	public	::	val_range	Length of the value interval

type, private :: spatial_hopf_type

Defines a stationary solution of the Euler equation by the Hopf Fibration.

Components

Type	Visibility	Attributes		Name		Initial
real(kind=rk),	public		::	radius			Minimal value to produce
real(kind=rk),	public		::	p0			Maximal value to produce

Functions

private function tem_spatial_parabol3d_for_treeIds(me, treeIds, tree, n) result(res)

This function computes 3d parabola profile from treeIDs of an element.

Type	Intent	Optional	Attributes		Name
type(spatial_random_type),	intent(in)			::	me	Interval definition to get the random values from.
integer,	intent(in)			::	n	number of return values

Type	Intent	Optional		Name
type(tem_spatial_type),	intent(out)		::	me	spatial boundary state type
type(flu_State)			::	conf	lua state type
integer,	intent(in)		::	parent	aotus parent handle
character(len=*),	intent(in),	optional	::	key	state variable key string defined in lua
real(kind=rk),	intent(in),	optional	::	defaultValue	What should be set s a default value for the quantities if no quantity was given in the lua file
integer,	intent(in),	optional	::	nComp	number of components of the variable
integer,	intent(out),	optional	::	errCode	Error code from lua loading

Type	Intent		Name
type(tem_spatial_type),	intent(inout)	::	me	spatial fun information
type(flu_State)		::	conf	lua state type
integer,	intent(in)	::	thandle	spatial function handle
integer,	intent(in)	::	nComp	Number of components

Type	Intent		Name
type(spatial_parabol_type),	intent(out)	::	me	parabola3d spatial datas
type(flu_State)		::	conf	lua state type
integer,	intent(in)	::	thandle	aotus parent handle
integer,	intent(in)	::	nComp	Number of components

Type	Intent		Name
type(spatial_random_type),	intent(out)	::	me	random spatial specification
type(flu_State)		::	conf	lua state type
integer,	intent(in)	::	thandle	aotus parent handle

tem_spatial_module Module

Contents

Uses

Used by

Contents

Variables

Interfaces

public interface tem_spatial_lua_for

private function tem_spatial_lua_for_treeIds(fun_ref, conf, treeIds, tree, n) result(res)

Arguments

Return Value real(kind=rk), (n)

private function tem_spatial_lua_for_coord(fun_ref, conf, coord, n) result(res)

Arguments

Return Value real(kind=rk), (n)

private function tem_spatial_lua_for_index(fun_ref, conf, grwPnt, idx, nVals) result(res)

Arguments

Return Value real(kind=rk), (nVals)

private function tem_spatial_lua_vector_for_treeIds(fun_ref, conf, treeIds, tree, n, ncomp) result(res)

Arguments

Return Value real(kind=rk), (n,ncomp)

private function tem_spatial_lua_vector_for_coord(fun_ref, conf, coord, n, ncomp) result(res)

Arguments

Return Value real(kind=rk), (n,ncomp)

private function tem_spatial_lua_vector_for_index(fun_ref, conf, grwPnt, idx, nVals, nComps) result(res)

Arguments

Return Value real(kind=rk), (nVals,nComps)

public interface tem_spatial_parabol2d_for

private function tem_spatial_parabol2d_for_treeIds(me, treeIds, tree, n) result(res)

Arguments

Return Value real(kind=rk), (n)

private function tem_spatial_parabol2d_for_coord(me, coord, n) result(res)

Arguments

Return Value real(kind=rk), (n)

public interface tem_spatial_parabol3d_for

private function tem_spatial_parabol3d_for_treeIds(me, treeIds, tree, n) result(res)

Arguments

Return Value real(kind=rk), (n)

private function tem_spatial_parabol3d_for_coord(me, coord, n) result(res)

Todo

Arguments

Return Value real(kind=rk), (n)

public interface tem_spatial_for

private function tem_spatial_for_treeIDs(me, treeIds, tree, n) result(res)

Arguments

Return Value real(kind=rk), (n)

private function tem_spatial_for_coord(me, coord, n) result(res)

Arguments

Return Value real(kind=rk), (n)

private function tem_spatial_vector_for_treeIDs(me, treeIds, tree, n, ncomp) result(res)

Arguments

Return Value real(kind=rk), (n,ncomp)

private function tem_spatial_vector_for_coord(me, coord, n, ncomp) result(res)

Arguments

Return Value real(kind=rk), (n,ncomp)

private function tem_spatial_scalar_for_index(me, grwPnt, idx, nVals, iLevel) result(res)

Arguments

Return Value real(kind=rk), (nVals)

private function tem_spatial_vector_for_index(me, grwPnt, idx, nVals, iLevel, nComps) result(res)

Arguments

Return Value real(kind=rk), (nVals,nComps)

public interface tem_spatial_storeVal

private subroutine tem_spatial_scalar_storeVal(me, coord, nVals, iLevel)

Arguments

private subroutine tem_spatial_vector_storeVal(me, coord, nVals, iLevel, nComps)

Arguments

Derived Types

type, public :: tem_spatial_type

Components

type, private :: spatial_value_type

Components

type, private :: spatial_parabol_type

Components

type, private :: spatial_random_type

Components

type, private :: spatial_hopf_type

Components

Functions

private function tem_spatial_parabol3d_for_treeIds(me, treeIds, tree, n) result(res)

Arguments

Return Value real(kind=rk), (n)