Module for routines and datatypes of MOdal Discontinuous Galerkin (MODG) scheme for the 1D Euler equation. This scheme is a spectral scheme for linear, purley hyperbolic partial differential equation systems.
Calculate the physical flux for the MODG scheme and Euler equation with constant characteristic (mask function) in the element.
Type | Intent | Optional | Attributes | Name | ||
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type(atl_Equations_type) | :: | equation |
The equation you solve. |
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type(ply_poly_project_type), | intent(inout) | :: | poly_proj |
Parameters for projection |
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real(kind=rk), | intent(inout) | :: | res(:,:) |
The physical flux result to be stored in |
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real(kind=rk), | intent(in) | :: | pointVal(:,:) |
Nodal representation of the polynomial with in each cell. |
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real(kind=rk), | intent(in) | :: | penalty_char |
Characteristic (mask) function of the material penalization. |
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real(kind=rk), | intent(in) | :: | U_o |
Obstacle velocity |
Calculate the physical flux for the MODG scheme and Euler equation with variable characteristic (mask function) in the element.
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
type(atl_Equations_type) | :: | equation |
The equation you solve. |
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type(ply_poly_project_type), | intent(inout) | :: | poly_proj |
Parameters for projection |
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real(kind=rk), | intent(inout) | :: | res(:,:) |
The physical flux result to be stored in |
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real(kind=rk), | intent(in) | :: | pointVal(:,:) |
Nodal representation of the polynomial with in each cell. |
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real(kind=rk), | intent(in) | :: | penalty_char(:) |
Characteristic (mask) function of the material penalization. |
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real(kind=rk), | intent(in) | :: | U_o(:) |
Calculate the numerical flux for Euler equation and MODG scheme
Type | Intent | Optional | Attributes | Name | ||
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type(atl_Equations_type), | intent(in) | :: | equation |
The equation you solve. |
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type(atl_facedata_type), | intent(inout) | :: | facedata |
The face representation of the state. |
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type(atl_material_type), | intent(in) | :: | material |
Material description for the faces on the current level |
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
type(atl_Equations_type), | intent(in) | :: | equation |
The equation you solve. |
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type(ply_poly_project_type), | intent(inout) | :: | poly_proj |
Poly project |
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real(kind=rk), | intent(in), | optional | :: | nodal_data(:,:) |
The state in nodal form |
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type(atl_scheme_type), | intent(inout) | :: | scheme_min |
The scheme information |
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type(atl_penalizationData_type), | intent(inout) | :: | penalizationData |
The penalization data |
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integer, | intent(in) | :: | iElem |
The current Element |
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type(atl_material_type), | intent(in) | :: | material |
Material description for the faces on the current level |
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
type(atl_Equations_type), | intent(in) | :: | equation |
The equation you solve. |
||
type(ply_poly_project_type), | intent(inout) | :: | poly_proj |
Poly project |
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real(kind=rk), | intent(in), | optional | :: | nodal_data(:,:) |
The state in nodal form |
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type(atl_scheme_type), | intent(inout) | :: | scheme_min |
The scheme information |
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type(atl_penalizationData_type), | intent(inout) | :: | penalizationData |
The penalization data |
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integer, | intent(in) | :: | iElem |
The current Element |
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type(atl_material_type), | intent(in) | :: | material |
Material description for the faces on the current level |
Numerical flux calculation for Euler equation across the faces in a single spatial direction.
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
type(atl_Equations_type), | intent(in) | :: | equation |
The equation you solve. |
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type(atl_facedata_type), | intent(inout) | :: | facedata |
The face state if the equation |
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type(tem_faceIterator_type), | intent(in) | :: | faces |
The faces to calculate the fluxes for. |
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type(atl_faceMaterialData_type), | intent(in) | :: | material |
The penalization material left and right of the face |