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version 0.6.0
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version 0.6.0
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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_compute_material_properties::compute_property_sutherland_law (temperature, material_law, local_field) |
| Compute a material property \( X \) according to a sutherland law of the temperature : More... | |
| subroutine | mod_compute_material_properties::compute_property_polynomial_temperature_law (temperature, material_law, local_field) |
| Compute a material property \( X \) according to a polynomial law of the temperature : More... | |
| subroutine | mod_compute_material_properties::compute_property_neural_network (pressure, temperature, material_law, reference_pressure, local_field) |
| Compute a material property \( X \) according to a neural_network function of the pressure and the temperature : More... | |
| subroutine | mod_predict_material_properties::predict_material_properties () |
| Compute time extrapolation of material properties. | |
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:
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:
\[ \rho = \rho_0(- \beta_T(T - T_0) + \sum_{i=1}^{m} \beta_{C_i} (C_i - C_{i_0})) \]
| anonymous enum |
| anonymous enum |
| subroutine mod_compute_material_properties::compute_property_neural_network | ( | double precision, dimension(:,:,:), intent(in), allocatable | pressure, |
| double precision, dimension(:,:,:), intent(in), allocatable | temperature, | ||
| type(t_material_law), intent(in) | material_law, | ||
| double precision, intent(in) | reference_pressure, | ||
| double precision, dimension(:,:,:), intent(inout), allocatable | local_field | ||
| ) |
\[ X^{*,n+1}(p^*,T^*) =\alpha(w^n \cdot X^{*,n} + b^n) \]
with \( \alpha \) the activation function (could be sigmoid or tanh), \( X^*, p^*,T^* \) respectively the dimensional computed field, pressure and temperature, \( w^n, X^{*,n}, b^n \) the weights, dimensionless field and bias at neural network layer \( n \).
| subroutine mod_compute_material_properties::compute_property_polynomial_temperature_law | ( | double precision, dimension(:,:,:), intent(in), allocatable | temperature, |
| type(t_material_law), intent(in) | material_law, | ||
| double precision, dimension(:,:,:), intent(inout), allocatable | local_field | ||
| ) |
\[ X(T) =\sum_{i=0}^{p-1} a_i T^i \]
with \( p \) the degree of the polynom and \( T \) the temperature field.
| subroutine mod_compute_material_properties::compute_property_sutherland_law | ( | double precision, dimension(:,:,:), intent(in), allocatable | temperature, |
| type(t_material_law), intent(in) | material_law, | ||
| double precision, dimension(:,:,:), intent(inout), allocatable | local_field | ||
| ) |
\[ X(T) = X^* \Big( \frac{T}{T^*} \Big)^{3/2} \frac{T^* + S}{T + S} \]
with \( X^* \), \( T^* \), \( S \), the coefficients of the law material_lawcoef = [ \( X^* \), \( T^* \), \( S \)]
1.9.5