Abstract
Reduced order modeling (ROM) techniques are numerical methods that approximate the solution of parametric partial differential equation (PED) by properly combining the high-fidelity solutions of the problem obtained for several configurations, i.e. for several properly chosen values of the physical/geometrical parameters characterizing the problem. By starting from a database of high-fidelity solutions related to a certain values of the parameters, we apply the proper orthogonal decomposition with interpolation (PODI) and then reconstruct the variables of interest for new values of the parameters, i.e. different values from the ones included in the database. Furthermore, we present a preliminary web application through which one can run the ROM with a very user-friendly approach, without the need of having expertise in the numerical analysis and scientific computing field. The case study we have chosen to test the efficiency of our algorithm is represented by the aortic blood flow pattern in presence of a left ventricular (LVAD) assist device when varying the pump flow rate.
Highlights
Reduced order modeling (ROM) is a wellspread technique used both in academia and in industry
The benchmark we have chosen to test the efficiency of our algorithm is represented by the aortic blood flow pattern in presence of a left ventricular assist device (LVAD) when varying the pump flow rate
In order to test the performance of the presented computational pipeline, we investigate the aortic blood flow pattern in presence of an LVAD when varying the pump flow rate
Summary
Reduced order modeling (ROM) (see, e.g., [1]) is a wellspread technique used both in academia and in industry. The aim of this work is the development of an efficient non-intrusive data-driven reduced order model to be used within hemodynamics framework. We highlight that the online evaluation of the datadriven approach used here is based only on data and does not require knowledge about the governing equations that describe the system It is non-intrusive, i.e. no modification of the simulation software is carried out. It is expected that the ATLAS project [10] will collect all cardiovascular applications In this framework, we present a preliminary web application through which one can run the ROM by using a very user-friendly GUI interface.
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