A regularization method for delivering the fourth-order derivative of experimental data and its applications in fluid-structure interactions
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Regularization
Derivative (finance)
Fluid–structure interaction
A basic equation of derivative gas chromatographic signals is developed. The signals are obtained by using derivative measuring equipment. The derivative signals are quantitatively investigated. The results show that derivative technique can smooth noise and greatly increase sensitivity and decrease susceptibility.
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Fluid–structure interaction
Multigrid method
Solver
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In the present study, the harmonic movement of fluid flow and the behaviour of elastic structure under this movement are investigated. Accordingly, a recently developed fluid-structure interaction method in which fluid and structure are simulated with smoothed particle hydrodynamics (SPH) and finite element method (FEM) is used. The interaction between fluid and the structure is satisfied with the contact mechanics. In order to validate the numerical model under harmonic movement, different experiments are used. First, the structure is assumed to be rigid and the pressures calculated on the structure are compared with the experimental data available in the literature. Similarly, free-surfaces are also validated with novel experiments carried out in the context of this study. In addition, the interaction between an elastic structure and fluid is investigated in the novel experiments in which a water tank having an elastic buffer in the middle is moved under harmonic horizontal movement and the deflection of the elastic buffer and free-surface profiles are measured. Comprehensive results are given for all validation cases. According to the results, the numerical method is successful and can be used in these types of problems.
Fluid–structure interaction
Slosh dynamics
Smoothed Particle Hydrodynamics
Free surface
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Regularization
Backus–Gilbert method
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Fluid–structure interaction
Pulsatile flow
Matrix (chemical analysis)
Fluid pressure
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This thesis is motivated by the modelling and the simulation of fluid-structure interaction phenomena in the vicinity of heart valves. On the one hand, the interaction of the vessel wall is dealt with an Arbitrary Lagrangian Eulerian (ALE) formulation. On the other hand the interaction of the valves is treated with the help of Lagrange multipliers in a Fictitious Domains-like (FD) formulation. After a synthetic presentation of the several methods available for the fluid-structure interaction in blood flows, we describe a method that permits capture the dynamics of a valve immersed in an incompressible fluid. The coupling algorithm is partitioned which allows the fluid and structure solvers to remain independent. In order to follow the vessel walls, the fluid mesh is mobile, but it remains none the less independent of the valve mesh. In this way we allow large displacements without the need to perform remeshing. We propose a strategy to manage contact between several immersed structures. The algorithm is completely independent of the structure solver and is well adapted to the partitioned fluid-structure coupling. Lastly we propose a semi-implicit coupling scheme allowing to mix, effectively, the ALE and FD formulations. The methods considered are followed with several numerical tests in 2D and 3D.
Fluid–structure interaction
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L2-TGV-regularization has been introduced by Bredies, Kunisch, and Pock. This regularization method requires careful tuning of two regularization parameters. The focus of this paper is to derive analytical results, which allow for characterizing parameter settings, which make this method in fact different from L2-TV (the ROF-model) and L2-TV2 regularization, respectively. In this paper we also provide explicit solutions of TGV-denoising for particular one-dimensional function data.
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L2-TGV-regularization has been introduced by Bredies, Kunisch, and Pock. This regularization method requires careful tuning of two regularization parameters. The focus of this paper is to derive analytical results, which allow for characterizing parameter settings, which make this method in fact different from L2-TV (the ROF-model) and L2-TV2 regularization, respectively. In this paper we also provide explicit solutions of TGV-denoising for particular one-dimensional function data.
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This chapter contains sections titled: Introduction Nature of Fluid–Structure Interaction Interaction of Plane Structures with Semis-Infinite Fluid Volumes Interaction of Circular Cylindrical Structures with Infinite Fluid Volumes Interaction of Structures with Contained Fluids Acoustically Induced Vibration of Structures Numerical Analyses of Structure-Fluid Interaction References
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Interaction model
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Using fluid-structure interaction algorithms to simulate the human circulatory system is an innovative approach that can provide valuable insights into cardiovascular dynamics. Fluid-structure interaction algorithms enable us to couple simulations of blood flow and mechanical responses of the blood vessels while taking into account interactions between fluid dynamics and structural behaviors of vessel walls, heart walls, or valves. In the context of the human circulatory system, these algorithms offer a more comprehensive representation by considering the complex interplay between blood flow and the elasticity of blood vessels. Algorithms that simulate fluid flow dynamics and the resulting forces exerted on vessel walls can capture phenomena such as wall deformation, arterial compliance, and the propagation of pressure waves throughout the cardiovascular system. These models enhance the understanding of vasculature properties in human anatomy. The utilization of fluid-structure interaction methods in combination with medical imaging can generate patient-specific models for individual patients to facilitate the process of devising treatment plans. This review evaluates current applications and implications of fluid-structure interaction algorithms with respect to the vasculature, while considering their potential role as a guidance tool for intervention procedures.
Fluid–structure interaction
Representation
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