A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries

作者：

Highlights：

• A numerical approach to reconstruct the boundary conditions in blood flow modeling is presented.

• A generalized Newtonian model is used to describe blood flow.

• The approach is based on a Data Assimilation procedure of the variational type.

• Space discretization is done using the Finite Element Method.

• The approach is tested in several 3D geometries and shown to be a possible alternative to improve accuracy of the computational solution.

摘要

•A numerical approach to reconstruct the boundary conditions in blood flow modeling is presented.•A generalized Newtonian model is used to describe blood flow.•The approach is based on a Data Assimilation procedure of the variational type.•Space discretization is done using the Finite Element Method.•The approach is tested in several 3D geometries and shown to be a possible alternative to improve accuracy of the computational solution.

论文关键词：Optimal control,Non-Newtonian fluids,Data assimilation

论文评审过程：Received 27 January 2016, Revised 20 August 2017, Accepted 13 October 2017, Available online 10 November 2017, Version of Record 10 November 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.10.029