A finite element solver and energy stable coupling for 3D and 1D fluid models
Computational Physics
2013-04-08 v2 Numerical Analysis
Fluid Dynamics
Abstract
The paper develops a solver based on a conforming finite element method for a 3D--1D coupled incompressible flow problem. New coupling conditions are introduced to ensure a suitable bound for the cumulative energy of the model. We study the stability and accuracy of the discretization method, and the performance of some state-of-the-art linear algebraic solvers for such flow configurations. Motivated by the simulation of the flow over inferior vena cava (IVC) filter, we consider the coupling of a 1D fluid model and a 3D fluid model posed in a domain with anisotropic inclusions. The relevance of our approach to realistic cardiovascular simulations is demonstrated by computing a blood flow over a model IVC filter.
Cite
@article{arxiv.1301.3958,
title = {A finite element solver and energy stable coupling for 3D and 1D fluid models},
author = {Tatiana K. Dobroserdova and Maxim A. Olshanskii},
journal= {arXiv preprint arXiv:1301.3958},
year = {2013}
}