Methods and systems for forecasting time-dependent phenomena by combining experimental and digital data

A system for predicting at least one time-dependent phenomenon, the system comprising:

• a central processing unit;
• a first data acquisition unit in communication with a first data generation unit comprising one or more sensors, wherein the first data acquisition unit is executable by the central processing unit to acquire, from the data generation unit, first time-dependent data relating to the phenomenon, the first time-dependent data comprising experimental data of a parameter characterizing the phenomenon, the experimental data being generated by measurements performed by the one or more sensors;
• a second data acquisition unit in communication with a second data generation unit comprising one or more processor, wherein the second data acquisition unit is executable by central processing unit to acquire second time-dependent data relating to the phenomenon, the second time-dependent data comprising digital data of the parameter characterizing the phenomenon, the digital data being obtained by digital simulation;
• and
• a data processing unit, wherein the data processing unit is in communication with the first data acquisition unit and the second data acquisition unit and configured to use the first time-dependent data to calibrate the second time-dependent data, thereby generating a prediction of the time-dependent phenomenon based on the second time-dependent data that was calibrated, wherein the prediction is a higher resolution prediction of the time-dependent phenomenon than at least the first time-dependent data, wherein the data processing unit comprises:
• a first data processing element to transform the first and second time-dependent data from a time domain into a frequency domain;
• a second data processing element to construct POD models relating to a proper orthogonal decomposition;
• a selection element to select, from the POD modes, relevant POD modes;
• a third data processing element to produce calibrated data, based on the selected relevant POD modes, a corresponding POD base, being computed from the digital data, the experimental data being then used to calibrate the POD base to form a complete solution to obtain the prediction of the time-dependent phenomenon;
• and
• a fourth data processing element to transform, in case of reversible transformation, the complete solution from the frequency domain into the time domain to obtain the prediction of the time-dependent phenomenon;
• wherein the first data generation unit and the second data generation unit are separate data generation units;
• wherein the first data acquisition unit and the second data acquisition unit are separate data acquisition units;
• wherein the first data acquisition unit connects to the data processing unit via a first data transmission link and the second data acquisition unit connects to the data processing unit via a second data transmission link that is separate from the first data transmission link;
• and
• wherein relevant POD modes refers to, a number p of first POD modes, p being an integer selected from 3, 4 and 5.

One or more non-transitory computer readable media comprising instructions that, when executed by one or more computers, cause the one or more computers to perform a method of predicting at least one time-dependent phenomenon, the instructions comprising:

• A. acquiring from a first data acquisition unit in communication with the one or more computers first time-dependent data relating to the phenomenon, the first time-dependent data comprising experimental data of a parameter characterizing the phenomenon, the experimental data being generated by measurements performed by a first data generation unit in communication with the first data acquisition unit and comprising one or more sensors and one or more processors, wherein the measurements are performed using the one or more sensors;
• B. acquiring from a second data acquisition unit in communication with the one or more computers second time-dependent data, relating to the phenomenon, the second time-dependent data comprising digital data of the parameter characterizing the phenomenon, the digital data being obtained by digital simulation performed by a second data generation unit in communication with the second data acquisition unit and comprising one or more processors;
• and
• C. generating, by the one or more computers, a prediction of the time-dependent phenomenon by using the first time-dependent data to calibrate the second time-dependent data wherein the prediction is a higher resolution prediction of the time-dependent phenomenon than at least the first time-dependent data, and the prediction is based on the second data that was calibrated;
• C1. transforming the first and second time-dependent data from a time domain into a frequency domain;
• C2. constructing proper orthogonal decomposition (POD) models relating to a POD, the experimental data and the digital data being decomposed respectively into two POD models, the POD models that were constructed containing different POD modes relating to a POD;
• C3. selecting, from the POD modes, relevant POD modes;
• C4. producing calibrated data, based on the selected relevant POD modes, a corresponding base, called POD base, being computed from the digital data, the experimental data being then used to calibrate the POD base to form a complete solution to obtain the prediction of the time-dependent phenomenon;
• and
• C5. in case of reversible transformation in sub-step C1, transforming the complete solution, from a frequency domain into a time domain, to obtain the prediction of the time-dependent phenomenon;
• wherein the first data generation unit and the second data generation unit are separate data generation units;
• wherein the first data acquisition unit and the second data acquisition unit are separate data acquisition units;
• and
• wherein the first data acquisition unit connects to the data processing unit via a first data transmission link and the second data acquisition unit connects to the data processing unit via a second data transmission link that is separate from the first data transmission link;
• and
• wherein sub-step C3 comprises selecting, as relevant POD modes, a number p of first POD modes, p being an integer selected from the group consisting of 3, 4 and 5.