Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology
Computational reduction strategies for the detection of steady bifurcations in incompressible fluid-dynamics: Applications to Coanda effect in cardiology
复制标题
用于检测不可压缩流体动力学中稳定分叉的计算简化策略：在心脏病学中柯恩达效应的应用
DOI：
10.1016/j.jcp.2017.05.010
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
G. Rozza
中科院分区：
文献类型：
--
作者：
G. Pitton;A. Quaini;G. Rozza
We focus on reducing the computational costs associated with the hydrodynamic stability of solutions of the incompressible Navier–Stokes equations for a Newtonian and viscous fluid in contraction–expansion channels. In particular, we are interested in studying steady bifurcations, occurring when non-unique stable solutions appear as physical and/or geometric control parameters are varied. The formulation of the stability problem requires solving an eigenvalue problem for a partial differential operator. An alternative to this approach is the direct simulation of the flow to characterize the asymptotic behavior of the solution. Both approaches can be extremely expensive in terms of computational time. We propose to apply Reduced Order Modeling (ROM) techniques to reduce the demanding computational costs associated with the detection of a type of steady bifurcations in fluid dynamics. The application that motivated the present study is the onset of asymmetries (i.e., symmetry breaking bifurcation) in blood flow through a regurgitant mitral valve, depending on the Reynolds number and the regurgitant mitral valve orifice shape.
康达效应对彩色多普勒射流面积和颜色编码的影响。
影响因子：
37.8
作者：
Chao,K;Moises,VA;Shandas,R;Elkadi,T;Sahn,DJ;Weintraub,R
通讯作者：
Weintraub,R