Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves

作者：

Highlights：

• Hemodynamics in full aorta and aortic sinuses coupled with highly deformable valve.

• An exact Lagrange multiplier technique couples the dynamics of valve and flow.

• A damped-Newton strategy allows more stability for relatively large Reynolds numbers.

• Numerical examples in 2D and 3D with healthy and pathological valves.

• Numerical investigations pinpoint a risk of blood stagnation after TAVI.

摘要

•Hemodynamics in full aorta and aortic sinuses coupled with highly deformable valve.•An exact Lagrange multiplier technique couples the dynamics of valve and flow.•A damped-Newton strategy allows more stability for relatively large Reynolds numbers.•Numerical examples in 2D and 3D with healthy and pathological valves.•Numerical investigations pinpoint a risk of blood stagnation after TAVI.

论文关键词：35Qxx,65Lxx,65Nxx,65Yxx,76-xx,Computational hemodynamics,Finite element method,Lagrange multiplier,Damped Newton,Aortic valve,Aorta

论文评审过程：Received 28 March 2016, Revised 18 October 2016, Available online 10 December 2016, Version of Record 2 February 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2016.11.042