A Borrvall & Petersson mapping of coefficients This is the material interpolation described by Borrvall & Petersson https://doi.org/10.1002/fld.426. More...
Public Member Functions | |
| procedure, pass(this) | init (this, json, coef) |
| Constructor from json. | |
| procedure, pass(this) | init_from_attributes (this, coef, f_min, f_max, q) |
| Actual constructor. | |
| procedure, pass(this) | free (this) |
| Destructor. | |
| procedure, pass(this) | forward_mapping (this, x_out, x_in) |
| Apply the forward mapping. | |
| procedure, pass(this) | backward_mapping (this, sens_out, sens_in, x_in) |
| Apply the adjoint mapping. | |
| procedure, pass(this) | init_base (this, json, coef, fld_name) |
| Constructor for the mapping_t class. | |
| procedure, pass(this) | free_base (this) |
| Destructor for the mapping_t (base) class. | |
| procedure, pass(this) | apply_forward (this, x_out, x_in) |
| Apply the forward mapping. | |
| procedure, pass(this) | apply_backward (this, sens_out, sens_in) |
| Apply the backward mapping (ie, chain rule) | |
| procedure(mapping_init), deferred, pass | init (this, json, coef) |
| The common constructor using a JSON dictionary. | |
| procedure(mapping_free), deferred, pass | free (this) |
| Destructor. | |
| procedure(mapping_forward_mapping), deferred, pass | forward_mapping (this, x_out, x_in) |
| forward mapping to be computed | |
| procedure(mapping_backward_mapping), deferred, pass | backward_mapping (this, sens_out, sens_in, x_in) |
| Backward mapping to be computed. | |
Public Attributes | |
| real(kind=rp) | f_min |
| minimum value (the fluid-side value) | |
| real(kind=rp) | f_max |
| maximum value (the solid-side value) | |
| real(kind=rp) | q |
| penalty parameter | |
| type(coef_t), pointer | coef => null() |
| Coefficients for the SEM. | |
| type(field_t), pointer | x_in => null() |
| A copy of the unmapped field (often used for chain rule) | |
| character(len=80) | fld_name = "" |
| A name for the field. | |
Detailed Description
It reuses the shape function \(S(x) = x \frac{q + 1}{x + q}\) (with \(S(0)=0\), \(S(1)=1\)), assembled so that the mapping is decreasing:
\(f(x) = f_{max} + (f_{min} - f_{max}) S(x)\)
with \(f(0) = f_{max}\) (solid) and \(f(1) = f_{min}\) (fluid), steepest near \(x \to 0\), for the convention x=0: solid, x=1: fluid. This is the converse of the ordinary RAMP mapping.
|. | . | . | .. | ... |_________
The shape function is identical to the historic RAMP "convex up" form; only the assembly of f_min/f_max is corrected. This is realised by calling the (unmodified) kernel entry points with f_min and f_max swapped at the call site (see forward/backward mapping below).
Definition at line 81 of file Borrvall_Petersson_mapping.f90.
Member Function/Subroutine Documentation
◆ apply_backward()
|
inherited |
- Parameters
-
this The mapping object sens_in sensitivity wrt to the mapped field ( \(\frac{\partial F}{\partial \tilde{\rho}}\)) sens_out sensitivity wrt to the unmapped field ( \(\frac{\partial F}{\partial \rho}\))
Definition at line 63 of file mapping.f90.
◆ apply_forward()
|
inherited |
- Parameters
-
this The mapping object X_out The mapped field ( \(\tilde{\rho}\)) X_in The unmapped field ( \(\rho\))
Definition at line 61 of file mapping.f90.
◆ backward_mapping() [1/2]
| procedure, pass(this) borrvall_petersson_mapping::borrvall_petersson_mapping_t::backward_mapping | ( | class(borrvall_petersson_mapping_t), intent(inout) | this, |
| type(field_t), intent(inout) | sens_out, | ||
| type(field_t), intent(in) | sens_in, | ||
| type(field_t), intent(in) | x_in | ||
| ) |
- Parameters
-
this mapping sens_out is the sensitivity with respect to the unfiltered design sens_in is the sensitivity with respect to the filtered design X_in unmapped field
Definition at line 101 of file Borrvall_Petersson_mapping.f90.
◆ backward_mapping() [2/2]
|
pure virtualinherited |
Definition at line 71 of file mapping.f90.
◆ forward_mapping() [1/2]
| procedure, pass(this) borrvall_petersson_mapping::borrvall_petersson_mapping_t::forward_mapping | ( | class(borrvall_petersson_mapping_t), intent(inout) | this, |
| type(field_t), intent(inout) | x_out, | ||
| type(field_t), intent(in) | x_in | ||
| ) |
- Parameters
-
this mapping X_out mapped field X_in unmapped field
Definition at line 98 of file Borrvall_Petersson_mapping.f90.
◆ forward_mapping() [2/2]
|
pure virtualinherited |
Definition at line 69 of file mapping.f90.
◆ free() [1/2]
| procedure, pass(this) borrvall_petersson_mapping::borrvall_petersson_mapping_t::free | ( | class(borrvall_petersson_mapping_t), intent(inout) | this | ) |
Definition at line 96 of file Borrvall_Petersson_mapping.f90.
◆ free() [2/2]
|
pure virtualinherited |
Definition at line 67 of file mapping.f90.
◆ free_base()
|
inherited |
Definition at line 59 of file mapping.f90.
◆ init() [1/2]
| procedure, pass(this) borrvall_petersson_mapping::borrvall_petersson_mapping_t::init | ( | class(borrvall_petersson_mapping_t), intent(inout) | this, |
| type(json_file), intent(inout) | json, | ||
| type(coef_t), intent(inout) | coef | ||
| ) |
Definition at line 91 of file Borrvall_Petersson_mapping.f90.
◆ init() [2/2]
|
pure virtualinherited |
Definition at line 65 of file mapping.f90.
◆ init_base()
|
inherited |
Definition at line 57 of file mapping.f90.
◆ init_from_attributes()
| procedure, pass(this) borrvall_petersson_mapping::borrvall_petersson_mapping_t::init_from_attributes | ( | class(borrvall_petersson_mapping_t), intent(inout) | this, |
| type(coef_t), intent(inout) | coef, | ||
| real(kind=rp), intent(in) | f_min, | ||
| real(kind=rp), intent(in) | f_max, | ||
| real(kind=rp), intent(in) | q | ||
| ) |
Definition at line 93 of file Borrvall_Petersson_mapping.f90.
Member Data Documentation
◆ coef
Definition at line 49 of file mapping.f90.
◆ f_max
Definition at line 85 of file Borrvall_Petersson_mapping.f90.
◆ f_min
Definition at line 83 of file Borrvall_Petersson_mapping.f90.
◆ fld_name
Definition at line 53 of file mapping.f90.
◆ q
Definition at line 87 of file Borrvall_Petersson_mapping.f90.
◆ x_in
Definition at line 51 of file mapping.f90.
The documentation for this type was generated from the following file:
- /home/runner/work/neko-top/neko-top/sources/mapping_functions/Borrvall_Petersson_mapping.f90
