genericROM.Containers.Loadings.Temperature

class Temperature(solutionName, set)[source]

Bases: Mordicus.Containers.Loadings.LoadingBase.LoadingBase

Class containing a Loading of type temperature for mechanical problems.

fieldsMapTimes

time values on which filed maps values are provided

Type: np.ndarray or list of floats

fieldsMapValues

filed maps values at the corresponding time values

Type: np.ndarray or list of str

fields

dictionary with temperature vectors tags (str) keys and temperature vectors (np.ndarray of size (numberOfNodes,)) at integration points as values

Type: dict

fieldsAtReducedIntegrationPoints

dictionary with temperature vectors tags (str) keys and temperature vectors (np.ndarray of size (numberOfReducedIntegPoints,)) at reduced integration points as values

Type: dict

phiAtReducedIntegPoint

of size (numberOfReducedIntegPoints,numberOfNodes) containing the finite element basis functions evaluated at the reduced integration points, so that the temperature fields at reduced integration points are obtained by phiAtReducedIntegPoint.dot(field)

Type: scipy.sparse matrix

ComputeContributionToReducedExternalForces(time)[source]

Computes and returns the reduced external forces contribution of the loading, which is zero for temperature loadings

Parameters

time (float) –

Return type

GetTemperatureAtReducedIntegrationPointsAtTime(time)[source]

Computes and returns the temperature at reduced integration points and at time, using PieceWiseLinearInterpolation

Parameters: time (float) –
Returns: of size (numberOfReducedIntegPoints,), temperature at reduced integration points and at time
Return type: np.ndarray

GetTemperatureAtTime(time)[source]

Computes and returns the temperature at time, using PieceWiseLinearInterpolation

Parameters: time (float) –
Returns: of size (numberOfNodes,), temperature at nodes and at time
Return type: np.ndarray

PreReduceLoading(mesh, operatorCompressionData)[source]

Prepares ReduceLoading by setting phiAtReducedIntegPoint

Parameters

mesh (BasicTools.Containers.UnstructuredMesh) – mesh of the high-fidelity model
operatorCompressionData (OperatorCompressionDataMechanical) – data structure generated by the operator compression for Mechanical problems

ReduceLoading(mesh=None, problemData=None, reducedOrderBases=None, operatorCompressionData=None)[source]

Computes and sets the reduced representation of the loading

Parameters

mesh (BasicTools.Containers.UnstructuredMesh) – mesh of the high-fidelity model
problemData (ProblemData) – problemData containing the loading
reducedOrderBases (dict(str: np.ndarray)) – dictionary with solutionNames (str) as keys and reducedOrderBases (np.ndarray of size (numberOfModes, numberOfDOFs)) as values
operatorCompressionData (dict(str: custom_data_structure)) – dictionary with solutionNames (str) as keys and data structure generated by the operator compression step as values

SetFields(fields)[source]

Sets fields

Parameters: fields (dict) – dictionary with temperature vectors tags (str) keys and temperature vectors (np.ndarray of size (numberOfNodes,)) at integration points as values

SetFieldsMap(fieldsMapTimes, fieldsMapValues)[source]

Sets fieldsMapTimes and fieldsMapValues

Parameters: fieldsMapTimes (np.ndarray or list of floats) – time values on which filed maps values are provided fieldsMapValues : np.ndarray or list of str filed maps values at the corresponding time values

UpdateLoading(loading)[source]

Update the high-dimensional data of the temperature loading, from another temperature loading

Parameters: loading (Temperature) –