MeltPoolDG::Flow::DarcyDampingModel< number > Class Template Reference

This class computes the Darcy damping coefficient \( K \) given by the Kozeny-Carman equation: More...

#include <darcy_damping_model.hpp>

Public Member Functions
	DarcyDampingModel (const DarcyDampingData< number > &data_in)
	Constructor.
template<typename number2 >
number2	compute_darcy_damping_coefficient (const number2 &solid_fraction) const
	Compute the Darcy damping coefficient based on a given solid_fraction.

Private Attributes
const number	mushy_zone_morphology
	Morphological constant C.
const number	avoid_div_zero_constant
	Small constant b to avoid division by zero.

Detailed Description

template<typename number>
class MeltPoolDG::Flow::DarcyDampingModel< number >

This class computes the Darcy damping coefficient \( K \) given by the Kozeny-Carman equation:

\( K= -C \frac{f_s^2}{(1-f_s)^3 + b} \)

with the solid fraction \( f_s \in [0, 1] \), the morphology of the mushy zone \( C \) and the parameter \( b \) to avoid division by zero.

Note

The regularization constant \( b \) must be greater than zero.

Voller, V. R., & Prakash, C. (1987). A fixed grid numerical modelling methodology for convection-diffusion mushy region phase-change problems. International Journal of Heat and Mass Transfer, 30(8), 1709–1719. https://doi.org/10.1016/0017-9310(87)90317-6

Template Parameters

number

Floating-point type

Constructor & Destructor Documentation

DarcyDampingModel()

template<typename number >

MeltPoolDG::Flow::DarcyDampingModel< number >::DarcyDampingModel ( const DarcyDampingData< number > &  data_in )

explicit

Constructor.

Parameters

data_in

Input parameters related to darcy damping.

Member Function Documentation

compute_darcy_damping_coefficient()

template<typename number >

template<typename number2 >

template dealii::VectorizedArray< double > MeltPoolDG::Flow::DarcyDampingModel< number >::compute_darcy_damping_coefficient< dealii::VectorizedArray< double > >

(

const number2 &

solid_fraction

)

const

Compute the Darcy damping coefficient based on a given solid_fraction.

Template Parameters

number2

Enables both scalar and vectorized computations.

Parameters

solid_fraction

Volume fraction of solid phase between 0 and 1.

Returns

Darcy damping coefficient.

Member Data Documentation

avoid_div_zero_constant

template<typename number >

const number MeltPoolDG::Flow::DarcyDampingModel< number >::avoid_div_zero_constant

private

Small constant b to avoid division by zero.

mushy_zone_morphology

template<typename number >

const number MeltPoolDG::Flow::DarcyDampingModel< number >::mushy_zone_morphology

private

Morphological constant C.

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

• include/meltpooldg/flow/darcy_damping_model.hpp
• source/flow/darcy_damping_model.cpp