Numerical Analysis of Constrained Dynamical Systems, with Applications to Dynamic Contact of Solids, Nonlinear Elastodynamics and Fluid-Structure Interactions

2000 ◽  
Author(s):  
Francisco Armero
2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Friedrich-Karl Benra ◽  
Hans Josef Dohmen ◽  
Ji Pei ◽  
Sebastian Schuster ◽  
Bo Wan

The interaction between fluid and structure occurs in a wide range of engineering problems. The solution for such problems is based on the relations of continuum mechanics and is mostly solved with numerical methods. It is a computational challenge to solve such problems because of the complex geometries, intricate physics of fluids, and complicated fluid-structure interactions. The way in which the interaction between fluid and solid is described gives the largest opportunity for reducing the computational effort. One possibility for reducing the computational effort of fluid-structure simulations is the use of one-way coupled simulations. In this paper, different problems are investigated with one-way and two-way coupled methods. After an explanation of the solution strategy for both models, a closer look at the differences between these methods will be provided, and it will be shown under what conditions a one-way coupling solution gives plausible results.


2000 ◽  
Author(s):  
Danielle C. Tarraf ◽  
H. Harry Asada

Abstract A systematic approach to modeling coupled distributed dynamical systems by formulating them as partial differential equations and algebraic constraints (PDAEs) is presented. Several advantages of the PDAE formulation are listed and discussed. The challenges of ensuring well-posedness are also touched upon. The PDAE system is converted by semi-discretization into a corresponding DAE system. It is subsequently realized for the purpose of simulations using a recently emerging control based approach. Thus, the typical requirement of consistent initialization is avoided for a large class of systems. The PDAE formulation and the numerical solution approach are illustrated through a particular application: modeling of fluid-structure interactions in arterial hemodynamics.


Author(s):  
Michael Paidoussis ◽  
Stuart Price ◽  
Emmanuel de Langre

2010 ◽  
Vol 5 (2) ◽  
pp. 1-8
Author(s):  
Ranis N. Ibragimov ◽  
◽  
Akshin S. Bakhtiyarov ◽  
Margaret Snell ◽  
◽  
...  

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