Variational Approach of Constructing Reduced Fluid-Structure Interaction Models in Bifurcated Networks
Year: 2017
Type: conference-paper
Abstract: Reduced fluid-structure interaction models have received a considerable attention in recent years being the key component of hemodynamic modeling.A variety of models applying to specific physiological components such as arterial, venous and cerebrospinal fluid (CSF) circulatory systems have been developed based on different approaches.The purpose of this paper is to apply the general approach based on Hamilton's variational principle to create a model for a viscous Newtonian fluid -structure interaction (FSI) in a compliant bifurcated network.This approach provides the background for a correct formulation of reduced FSI models with an account for arbitrary nonlinear visco-elastic properties of compliant boundaries.The correct boundary conditions are specified at junctions, including matching points in a combined 3D/1D approach.The hyperbolic properties of derived mathematical model are analyzed and used, constructing the monotone finite volume numerical scheme, second-order accuracy in time and space.The computational algorithm is validated by comparison of numerical solutions with the exact manufactured solutions for an isolated compliant segment and a bifurcated structure.The accuracy of applied TVD (total variation diminishing) and Lax-Wendroff methods are analyzed by comparison of numerical results to the available analytical smooth and discontinuous solutions.
DOI: 10.11159/enfht17.103
Institution: Rochester Institute of Technology
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2607479938