MeltPoolDG::Heat Namespace Reference

Namespaces
namespace	internal

Classes
class	ApparentCapacity
	Apparent capacity model for latent heat release/absorption during phase change. More...
class	GaussProjectionIntensityProfile
class	GaussVolumetricIntensityProfile
class	GusarovIntensityProfile
class	HeatCutOperation
class	HeatCutOperator
struct	HeatData
class	HeatDiffuseMultiPhaseOperator
class	HeatDiffuseOperation
class	HeatOperationBase
class	HeatTransferApplication
class	HeatTransferCase
struct	HeatTransferCaseParameters
class	LaserAnalyticalTemperatureField
struct	LaserData
class	LaserHeatSourceProjectionBased
class	LaserHeatSourceVolumetric
class	LaserOperation
struct	QLQParameters
class	UniformIntensityProfile

Typedefs
template<typename Evaluation >
using	VelocityType = typename FECellIntegrator< Evaluation::dimension, Evaluation::dimension, typename Evaluation::ScalarNumber >::value_type

Functions
	BETTER_ENUM (LaserModelType, char, not_initialized, analytical_temperature, volumetric, interface_projection_regularized, interface_projection_sharp, interface_projection_sharp_conforming, RTE) BETTER_ENUM(LaserIntensityProfileType
template<int dim, typename number >
number	compute_projection_factor (const dealii::Tensor< 1, dim, number > &laser_direction, const dealii::Tensor< 1, dim, number > &normal_vector)
template<int dim, typename number >
number	compute_distance_to_line (const dealii::Point< dim, number > &p, const dealii::Point< dim, number > &line_base, const dealii::Tensor< 1, dim, number > &line_direction)
template<typename number >
number	unit_poly4_bell (const number x)
template<typename number >
number	unit_poly4_bell_derivative (const number x)
template<typename number >
number	qlq_zero_slope (const number x, const number x1, const number x2, const number y1, const number y2, const number delta)
template<typename number >
number	qlq_zero_slope_derivative (const number x, const number x1, const number x2, const number y1, const number y2, const number delta)
template<int dim, typename number >
std::map< dealii::types::boundary_id, std::shared_ptr< dealii::Function< dim > > >	construct_dirichlet_bc_map (const bool two_phase, const std::map< dealii::types::boundary_id, std::shared_ptr< dealii::Function< dim > > > &dirichlet_bc)

Variables
	char
	uniform
	Gauss
static constexpr dealii::EvaluationFlags::EvaluationFlags	evaluate_values
static constexpr dealii::EvaluationFlags::EvaluationFlags	evaluate_gradients

Typedef Documentation

VelocityType

template<typename Evaluation >

using MeltPoolDG::Heat::VelocityType = typedef typename FECellIntegrator<Evaluation::dimension, Evaluation::dimension, typename Evaluation::ScalarNumber>::value_type

Function Documentation

BETTER_ENUM()

MeltPoolDG::Heat::BETTER_ENUM	(	LaserModelType	,
		char	,
		not_initialized	,
		analytical_temperature	,
		volumetric	,
		interface_projection_regularized	,
		interface_projection_sharp	,
		interface_projection_sharp_conforming	,
		RTE
	)

compute_distance_to_line()

template<int dim, typename number >

number MeltPoolDG::Heat::compute_distance_to_line ( const dealii::Point< dim, number > &  p, const dealii::Point< dim, number > &  line_base, const dealii::Tensor< 1, dim, number > &  line_direction  )

inline

Computes the minimum distance between the point

Parameters

p	and the infinite line that is defined by the
line_base	and the
line_direction,which	must be a unit vector.

compute_projection_factor()

template<int dim, typename number >

number MeltPoolDG::Heat::compute_projection_factor ( const dealii::Tensor< 1, dim, number > &  laser_direction, const dealii::Tensor< 1, dim, number > &  normal_vector  )

inline

Computes the projection factor for angled laser interface interactions.

Parameters

normal_vector

the unit normal vector pointing inside the liquid domain

construct_dirichlet_bc_map()

template<int dim, typename number >

std::map< dealii::types::boundary_id, std::shared_ptr< dealii::Function< dim > > > MeltPoolDG::Heat::construct_dirichlet_bc_map	(	const bool	two_phase,
		const std::map< dealii::types::boundary_id, std::shared_ptr< dealii::Function< dim > > > &	dirichlet_bc
	)

qlq_zero_slope()

template<typename number >

number MeltPoolDG::Heat::qlq_zero_slope	(	const number	x,
		const number	x1,
		const number	x2,
		const number	y1,
		const number	y2,
		const number	delta
	)

Evaluate a quadratic-linear-quadratic interpolation with zero slope at the interval endpoints.

The function constructs a piecewise curve on the interval x1 to x2. Close to the endpoints, quadratic segments are used so that the derivative vanishes at x1 and x2. In the center of the interval, a linear segment connects both quadratic parts. The transition width is controlled by delta.

The resulting function satisfies:

• \( f(x_1) = y_1 \)
• \( f(x_2) = y_2 \)
• \( f'(x_1) = 0 \)
• \( f'(x_2) = 0 \)

Template Parameters

number

Scalar type used for the interpolation.

Parameters

x	Evaluation point.
x1	Left interval endpoint.
x2	Right interval endpoint.
y1	Function value at the left endpoint x1.
y2	Function value at the right endpoint x2.
delta	Width of the quadratic transition regions near both endpoints.

Returns

Interpolated function value at x.

qlq_zero_slope_derivative()

template<typename number >

number MeltPoolDG::Heat::qlq_zero_slope_derivative	(	const number	x,
		const number	x1,
		const number	x2,
		const number	y1,
		const number	y2,
		const number	delta
	)

Evaluate the derivative of qlq_zero_slope().

This function returns the derivative of the piecewise quadratic-linear-quadratic interpolation constructed by qlq_zero_slope(). The derivative is zero at the interval endpoints x1 and x2, linear in the quadratic transition regions, and constant in the central linear region.

Template Parameters

number

Scalar type used for the interpolation.

Parameters

x	Evaluation point.
x1	Left interval endpoint.
x2	Right interval endpoint.
y1	Function value at the left endpoint x1.
y2	Function value at the right endpoint x2.
delta	Width of the quadratic transition regions near both endpoints.

Returns

Derivative of the interpolated function at x.

unit_poly4_bell()

template<typename number >

number MeltPoolDG::Heat::unit_poly4_bell

(

const number

x

)

Unit bell curve function with a polynomial degree 4

returns f(x) = 15/16*x^4 - 15/8*x^2 + 15/16

This curve satisfies the following statements: f(1) = 0 f(-1) = 0 f'(1) = 0 f'(-1) = 0 int_{-1}^1 f(x) dx = 1

unit_poly4_bell_derivative()

template<typename number >

number MeltPoolDG::Heat::unit_poly4_bell_derivative

(

const number

x

)

Derivative of unit bell curve function unit_poly4_bell

returns f(x) = 15/4*x^3 - 15/4*x

Variable Documentation

char

MeltPoolDG::Heat::char

evaluate_gradients

constexpr dealii::EvaluationFlags::EvaluationFlags MeltPoolDG::Heat::evaluate_gradients

staticconstexpr

Initial value:

=
    dealii::EvaluationFlags::gradients

evaluate_values

constexpr dealii::EvaluationFlags::EvaluationFlags MeltPoolDG::Heat::evaluate_values

staticconstexpr

Initial value:

=
    dealii::EvaluationFlags::values

Gauss

MeltPoolDG::Heat::Gauss

uniform

MeltPoolDG::Heat::uniform