Model reduction techniques for fast blood flow simulation in parametrized geometries
Model reduction techniques for fast blood flow simulation in parametrized geometries
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DOI：
10.1002/cnm.1465
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发表时间：
2012-06
影响因子：
2.1
通讯作者：
A. Manzoni;A. Quarteroni;G. Rozza
中科院分区：
文献类型：
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作者：
A. Manzoni;A. Quarteroni;G. Rozza
在本文中，我们提出了一种新的模型降阶技术，旨在对给定的动脉血管几何形状进行实时血流模拟。我们的方法是基于计算域的低维形状参数化和降基方法相结合的方法来求解相关的参数化流动方程。我们建议对一组动脉血管几何形状进行初步分析，通过径向基函数参数化来描述。为了考虑患者特定的动脉构型，我们通过解决合适的参数识别问题来重建后者。因此，通过减基方法在每个重建的参数化几何图形上执行血液流动的实时模拟。通过使用Navier-Stokes方程对血流进行建模，并测量诸如粘性能量耗散或涡度等分布输出，我们专注于一类参数化的颈动脉分支。后者是可能与病理风险评估相关的指标。本文所提出的方法可以应用于各种与几何/形状变化有关的(不同)流动问题，例如与形状敏感性分析、参数探索和形状设计有关的问题。版权所有©2011 John Wiley&Sons，Ltd.
In this paper, we propose a new model reduction technique aimed at real‐time blood flow simulations on a given family of geometrical shapes of arterial vessels. Our approach is based on the combination of a low‐dimensional shape parametrization of the computational domain and the reduced basis method to solve the associated parametrized flow equations. We propose a preliminary analysis carried on a set of arterial vessel geometries, described by means of a radial basis functions parametrization. In order to account for patient‐specific arterial configurations, we reconstruct the latter by solving a suitable parameter identification problem. Real‐time simulation of blood flows are thus performed on each reconstructed parametrized geometry, by means of the reduced basis method. We focus on a family of parametrized carotid artery bifurcations, by modelling blood flows using Navier–Stokes equations and measuring distributed outputs such as viscous energy dissipation or vorticity. The latter are indexes that might be correlated with the assessment of pathological risks. The approach advocated here can be applied to a broad variety of (different) flow problems related with geometry/shape variation, for instance related with shape sensitivity analysis, parametric exploration and shape design. Copyright © 2011 John Wiley & Sons, Ltd.