Compute properties of materials

Compute local properties of materials (density, viscosity, etc.) from geometry, equation of state and reference properties of materials. More...

Namespaces
module	mod_linearized_enthalpy_functions
	Temperature-Enthalpy functions for the Linearized Enthalpy method.
module	mod_material_properties_boundary_conditions
	Boundary conditions related routines for materials.
module	fields_material_properties
	Local properties of material defined on cells or faces.
module	mod_temperature_enthalpy_functions
	Temperature-Enthalpy functions for the Apparent Heat Capacity method.
module	variables_material_properties
	Declaration of local properties of the materials involved in the simulation (density, conductivity, viscosity, etc.)

Classes
type	type_material_reference_properties::material_reference_properties
	Definition of the reference properties of a material. More...

Enumerations
enum	{ type_material_reference_properties::rheology_fluid , type_material_reference_properties::rheology_solid , type_material_reference_properties::rheology_porous_medium }
	Enumaration associated to the rheology of a material. More...
enum	{   type_material_reference_properties::eos_constant , type_material_reference_properties::eos_perfect_gas , type_material_reference_properties::eos_peng_robinson , type_material_reference_properties::eos_linear_acoustic ,   type_material_reference_properties::eos_linear_temperature , type_material_reference_properties::eos_linear_concentration , type_material_reference_properties::eos_linear_temperature_concentration }
	Enumaration associated to the equation of stage. More...

Functions
subroutine, public	mod_compute_material_properties::compute_material_properties ()
	Compute local material properties.
subroutine	mod_predict_material_properties::predict_material_properties ()
	Compute time extrapolation of material properties.

Detailed Description

Introduction

Compute local properties of materials (density, viscosity, etc.) from geometry, equation of state and reference properties of materials.

                         ┌───────────────┐
                         │  Temperature  │
                         │ Concentration │
                         │      etc.     │
                         └───────────────┘
                                 ↓
┌───────────────┐         ┏━━━━━━━━━━━━━┓          ┌──────────────┐
│   Reference   │         ┃ Equation of ┃          │   Geometry   │
│ properties of │ ───────>┃    state    ┃ <─────── │ (e.g. volume │
│   materials   │         ┃    (EoS)    ┃          │   faction)   │
└───────────────┘         ┗━━━━━━━━━━━━━┛          └──────────────┘
                                 ↓
                         ┌───────────────┐
                         │     Local     │
                         │ properties of │
                         │   materials   │
                         └───────────────┘

Non-exhaustive list of reference properties:

• Density \( \rho_0 \)
• Viscosity \( \mu \)
• Thermal expansion \( \beta_{T} \)
• Specific heat capacity \( C_{p} \)

1-fluid model

When multiple materials are involved in the simulation, the properties ( \( \rho, \mu, C_{p}, \lambda, etc.) \) are locally computed from the volume fraction of materials \( f_i \) (possibly smoothed) according to the following formula:

\[ \phi = \sum_{i=1}^{n} \phi_{i} f_{i} \]

where \( \phi_{i} \) denotes any property of material \( i \) such as density or conductivity.

Depending on the modeling, density may vary linearly with temperature and species concentration \( C_i \):

\[ \rho = \rho_0(1 - \beta_T(T - T_0) + \sum_{i=1}^{m} \beta_{C_i} (C_i - C_{i_0})) \]

When driving pressure is considered (defined as \( \nabla p^* = \nabla p - \rho_0 \bf{g} \)), previous equation reads:

\[ \rho = \rho_0(- \beta_T(T - T_0) + \sum_{i=1}^{m} \beta_{C_i} (C_i - C_{i_0})) \]

Enumeration Type Documentation

anonymous enum

anonymous enum

Enumerator
rheology_fluid	The material is a fluid.
rheology_solid	The material is a solid.
rheology_porous_medium	The material is a porous medium.

anonymous enum

anonymous enum

Enumerator
eos_constant	Thermodynamic variables are constant.
eos_perfect_gas	Perfect gaz.
eos_peng_robinson	Peng-Robinson.
eos_linear_acoustic	Linear acoustic.
eos_linear_temperature	Linear temperature (Boussinesq)
eos_linear_concentration	Linear concentration (Boussinesq)
eos_linear_temperature_concentration	Linear temperature concentration (Boussinesq)