论文标题

用于血液动力学问题的非侵入性数据驱动ROM框架

A non-intrusive data-driven ROM framework for hemodynamics problems

论文作者

Girfoglio, M., Scandurra, L., Ballarin, F., Infantino, G., Nicolò, F., Montalto, A., Rozza, G., Scrofani, R., Comisso, M., Musumeci, F.

论文摘要

降低的顺序建模(ROM)技术是数值方法,通过正确组合了几种配置获得的问题的高效率解决方案,即用于表征该问题表征问题的几个正确选择的物理/地质参数的值的问题,即通过正确组合获得几种配置的问题的高效率解决方案来近似于参数偏微分方程(PDE)。在这项贡献中,我们提出了一个有效的非侵入数据驱动框架,该框架涉及用于血液动力学应用的计算流体动力学(CFD)中的ROM技术。从与参数的某些值相关的高保真解决方案数据库开始,我们将适当的正交分解使用插值(PODI),然后重建参数新值的感兴趣变量,即与数据库中包含的值不同的值。此外,我们提出了一个初步的Web应用程序,可以通过该应用程序以非常用户友好的方法运行ROM,而无需在数值分析和科学计算领域中拥有专业知识。我们选择的案例研究是在改变泵流速时,在存在左心室辅助装置(LVAD)的情况下,在存在左心室辅助装置(LVAD)的情况下,主动脉血流模式表示了我们选择的案例研究。

Reduced order modeling (ROM) techniques are numerical methods that approximate the solution of parametric partial differential equation (PDE) 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. In this contribution, we propose an efficient non-intrusive data-driven framework involving ROM techniques in computational fluid dynamics (CFD) for hemodynamics applications. 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 Assist Device (LVAD) when varying the pump flow rate.

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