This research provides useful insights for better diagnosis and understanding the vein blockage induced by a deep venous thrombosis and the occurrence of reverse flow in human veins, allowing a proper detection of serious diseases related to deep venous insufficiency. An arbitrary Lagrangian-Eulerian formulation is used in a coupled model (i.e. fluid and structure equations solved together), considering two domains, specifically the blood flow and the flexible structures (i.e. vein and valves). Computational fluid dynamics mathematical model based on finite element method, with special elements and boundary characterization, is addressed to find the best solution. This research presents a novel model to study the interaction between non-Newtonian laminar fluid flows, the blood, within nonlinear structures, the vein walls. Simulation results are validated using in vivo echo-Doppler measurements.

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Abstract:The dynamic interaction between the unsteady flow occurrence and the resulting vibration of the pipe are analyzed based on experiments and numerical models. Waterhammer, structural dynamic and fluid-structure interaction (FSI) are the main subjects dealt with in this study. Firstly, a 1D model is developed based on the method of characteristics (MOC) using specific damping coefficients for initial components associated with rheological pipe material behavior, structural and fluid deformation, and type of anchored structural supports. Secondly a 3D coupled complex model based on Computational Fluid Dynamics (CFD), using a Finite Element Method (FEM), is also applied to predict and distinguish the FSI events. Herein, a specific hydrodynamic model of viscosity to replicate the operation of a valve was also developed to minimize the number of mesh elements and the complexity of the system. The importance of integrated analysis of fluid-structure interaction, especially in non-rigidity anchored pipe systems, is equally emphasized. The developed models are validated through experimental tests. OPEN ACCESSWater 2015, 7 6322 Keywords: fluid structure interaction (FSI); method of characteristics (MOC); computational fluid dynamic (CFD); waterhammer; finite element method (FEM)

Fluid–structure interaction is analyzed using 1D and 3D computational models and results from an experimental facility, where transient events are induced. The water-hammer phenomenon is modelled by a 1D model based on the method of characteristics and the COMSOL Multiphysics 4.3b, which uses finite element method to study the fluid structural interaction involved in a long pressurized pipe system with curves, expansion joints, anchor and support blocks and different rheological behaviour of the pipe material. Comparisons are made between the experimental data and the two numerical models, where the type of response of each model was enhanced, as well as the ability of each model to simulate real conditions.