Fluid-structure coupled CFD simulation of the left ventricular flow during filling phase

Fluid-structure coupled CFD simulation of the left ventricular flow during filling phase
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DOI:
10.1007/s10439-005-4388-9
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发表时间:
2005-05-01
影响因子:
3.8
通讯作者:
Schenkel, T
Schenkel, T
中科院分区:
工程技术2区
文献类型:
--
作者:
Cheng, YG;Oertel, H;Schenkel, T

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心脏的流固耦合模拟虽然还处于发展阶段,但在心脏功能研究和临床应用方面显示出巨大的前景。本文的目的是验证一个商业软件为基础的流固耦合方案的左心室充盈。该方案采用有限体积法离散的任意拉格朗日-欧拉公式的Navier-Stokes方程的流体,而使用非线性有限元方法来模拟的结构。将流体和结构方程作为一个统一的系统,在每一个时间步同时求解,实现了流体和结构的耦合。基于规定的随时间变化的杨氏模量,模拟了人体心脏的三维椭球薄壁模型几何形状中的左心室充盈流。虽然变形很大,但耦合仍能平稳收敛。分析了模型心室的压力-容积关系、压力的时空分布、瞬时速度矢量以及旋涡模式,定性和定量地与已有数据吻合较好。初步研究验证了该方案的可行性,并显示了通过在模型中加入心肌本构关系和使用更真实的心脏几何形状来以更真实的方式模拟左心室血流的可能性。
The fluid-structure coupled simulation of the heart, though at its developing stage, has shown great prospect in heart function investigations and clinical applications. The purpose of this paper is to verify a commercial software based fluid-structure interaction scheme for the left ventricular filling. The scheme applies the finite volume method to discretize the arbitrary Lagrangian-Eulerian formulation of the Navier-Stokes equations for the fluid while using the nonlinear finite element method to model the structure. The coupling of the fluid and structure is implemented by combining the fluid and structure equations as a unified system and solving it simultaneously at every time step. The left ventricular filling flow in a three-dimensional ellipsoidal thin-wall model geometry of the human heart is simulated, based on a prescribed time-varying Young's modulus. The coupling converges smoothly though the deformation is very large. The pressure-volume relation of the model ventricle, the spatial and temporal distributions of pressure, transient velocity vectors as well as vortex patterns are analyzed, and they agree qualitatively and quantitatively well with the existing data. This preliminary study has verified the feasibility of the scheme and shown the possibility to simulate the left ventricular flow in a more realistic way by adding a myocardial constitutive law into the model and using a more realistic heart geometry.