A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle

被引：10

作者：

Danilov, Alexander ^{[1
,2
]}

Lozovskiy, Alexander ^{[1
]}

Olshanskii, Maxim ^{[3
]}

Vassilevski, Yuri ^{[1
,2
]}

机构：

[1] RAS, Inst Numer Math, Moscow 119333, Russia

[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Region, Russia

[3] Univ Houston, Dept Math, Houston, TX 77204 USA

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2017年 / 32卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Fluid-structure interaction; semi-implicit scheme; monolithic approach; blood flow; numerical stability; finite element method; SPACE; SIMULATION; FLOWS;

D O I：

10.1515/rnam-2017-0021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper introduces a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method is based on a quasi-Lagrangian formulation of the problem and handling the geometry in a time-explicit way. We prove that numerical solution satisfies a discrete analogue of the fundamental energy estimate. This stability estimate does not require a CFL time-step restriction. The method is further applied to simulation of a flow in a model of the left ventricle of a human heart, where the ventricle wall dynamics is reconstructed from a sequence of contrast enhanced Computed Tomography images.

引用

页码：225 / 236

页数：12

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