Added-mass effect in the design of partitioned algorithms for fluid-structure problems
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TLDR
A simplified model representing the interaction between a potential fluid and a linear elastic thin tube is considered, which reproduces propagation phenomena and takes into account the added-mass effect of the fluid on the structure, which is known to be source of numerical difficulties.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2005-10-15 and is currently open access. It has received 875 citations till now. The article focuses on the topics: Added mass & Numerical stability.read more
Citations
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Journal ArticleDOI
Fixed-point fluid-structure interaction solvers with dynamic relaxation
U. Küttler,Wolfgang A. Wall +1 more
TL;DR: In this paper, a fixed-point fluid-structure interaction (FSI) solver with dynamic relaxation is revisited, where the relaxation parameter is calculated by both Aitken's \({\Delta^{2}}\) method and the method of steepest descent.
Journal ArticleDOI
Numerical Methods for Fluid-Structure Interaction — A Review
TL;DR: This article reviews representative numeri- cal methods based on conforming and non-conforming meshes that are currently avail- able for computing fluid-structure interaction problems, with an emphasis on some of the recent developments in the field.
Journal ArticleDOI
A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
C. Alberto Figueroa,Irene E. Vignon-Clementel,Kenneth E. Jansen,Thomas J. R. Hughes,Charles A. Taylor +4 more
TL;DR: In this paper, the authors developed a new method to simulate blood flow in 3D deformable models of arteries, which couples the equations of the deformation of the vessel wall at the variational level as a boundary condition for the fluid domain.
Journal ArticleDOI
Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
TL;DR: In this article, a discrete representation of the added mass operatorMA is given and ''instability conditions'' are evaluated for different temporal discretisation schemes and it is proven that for every sequentially staggered scheme and given spatial discretization of a problem, a mass ratio between fluid and structural mass density can be found at which the coupled system becomes unstable.
Journal ArticleDOI
Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction
TL;DR: In this paper, a partitioned quasi-Newton technique is presented to solve the coupled FSI problem through nonlinear equations corresponding to the interface position and its performance is compared with a monolithic Newton algorithm.
References
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Book
McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles
TL;DR: The nature and flow of a fluid properties of the normanl arterial wall changes to properties of that wall pulsatile pressure flow relationships measuring principles of arterial waves ultrasonic techniques and measurements contour of pressure and flow waves in arteries wave reflection are studied.
Book
Domain Decomposition Methods for Partial Differential Equations
Alfio Quarteroni,Alberto Valli +1 more
TL;DR: In this paper, the authors illustrate the basic mathematical concepts and look at a large variety of boundary value problems in a domain composition framework, and show that domain composition is a powerful approach to the numerical solution of partial differential equations.
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Fixed-point fluid-structure interaction solvers with dynamic relaxation
U. Küttler,Wolfgang A. Wall +1 more