MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number > Class Template Reference

#include <delta_approximation_phase_weighted.hpp>

Inheritance diagram for MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >:

Collaboration diagram for MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >:

Public Member Functions
	DeltaApproximationHeavisideTimesHeavisidePhaseWeighted (const DeltaApproximationPhaseWeightedData< number > &data)
number	compute_weight (const number level_set_heaviside) const override
dealii::VectorizedArray< number >	compute_weight (const dealii::VectorizedArray< number > &level_set_heaviside) const override
Public Member Functions inherited from MeltPoolDG::LevelSet::DeltaApproximationBase< number >
virtual	~DeltaApproximationBase ()=default

Private Member Functions
template<typename value_type >
value_type	compute_weight_internal (const value_type &level_set_heaviside) const

Private Attributes
const number	w_1g
const number	w_1h
const number	w_2g
const number	w_2h
const number	correction_factor

Detailed Description

template<typename number>
class MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >

Asymmetric, double phase weighted Dirac delta approximation function.

This function can be used to approximate the Dirac delta function for diffuse interfaces. The approximation is asymmetric and you can choose two weights for each phase individually. The function is defined as

δ_w(φ) = δ(φ) * W(φ).

with the heaviside representation of the level set φ (=indicator). The symmetric delta function δ(φ) is defined as

δ = ||∇φ||.

The weight function W(φ) is defined as

    6 ( (1 - φ) w_1g + φ w_2h ) ( (1 - φ) w_2g + φ w_2h )

W(φ) = ----------------------------------------------------— , 2 w_1g w_2g + w_1g w_2h + w_1h w_2g + 2 w_1h w_2h

where w_1g and w_2g are the weights of the gaseous phase (at level set = -1) and w_1h and w_2h are the weights of the heavy phase (at level set = 1). The weights can be chosen arbitrarily, as long as 2 w_1g w_2g + w_1g w_2h + w_1h w_2g + 2 w_1h w_2h != 0.

Constructor & Destructor Documentation

DeltaApproximationHeavisideTimesHeavisidePhaseWeighted()

template<typename number >

MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted ( const DeltaApproximationPhaseWeightedData< number > &  data )

inline

Member Function Documentation

compute_weight() [1/2]

template<typename number >

dealii::VectorizedArray< number > MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::compute_weight ( const dealii::VectorizedArray< number > &  level_set_heaviside ) const

inlineoverridevirtual

Implements MeltPoolDG::LevelSet::DeltaApproximationBase< number >.

compute_weight() [2/2]

template<typename number >

number MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::compute_weight ( const number  level_set_heaviside ) const

inlineoverridevirtual

Implements MeltPoolDG::LevelSet::DeltaApproximationBase< number >.

compute_weight_internal()

template<typename number >

template<typename value_type >

value_type MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::compute_weight_internal ( const value_type &  level_set_heaviside ) const

inlineprivate

This function calculates the quadratic asymmetric weight function

    6 ( (1 - φ) w_1g + φ w_2h ) ( (1 - φ) w_2g + φ w_2h )

W(φ) = ----------------------------------------------------— 2 w_1g w_2g + w_1g w_2h + w_1h w_2g + 2 w_1h w_2h

Member Data Documentation

correction_factor

template<typename number >

const number MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::correction_factor

private

w_1g

template<typename number >

const number MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::w_1g

private

w_1h

template<typename number >

const number MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::w_1h

private

w_2g

template<typename number >

const number MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::w_2g

private

w_2h

template<typename number >

const number MeltPoolDG::LevelSet::DeltaApproximationHeavisideTimesHeavisidePhaseWeighted< number >::w_2h

private

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The documentation for this class was generated from the following file:

• include/meltpooldg/level_set/delta_approximation_phase_weighted.hpp