Mathematical formulation of fluid-structure interaction problems
نویسندگان
چکیده
— In this article we study three different types of fluid-structure interaction problems. A gênerai mathematical framework is given and then we show how the gênerai results can be applied to the three spécifie problems ; evolutionary problems, as well as vibration (eigenvalue) problems are considered. Résumé. — Dans cet article nous étudions trois types différents de problèmes d'interaction fluide-structure. Un cadre mathématique général est donné et nous montrons ensuite comment les résultats généraux peuvent être appliqués aux trois problèmes spécifiques. On considère des problèmes d'évolution et aussi des problèmes de vibration (valeurs propres).
منابع مشابه
Presenting a Modified SPH Algorithm for Numerical Studies of Fluid-Structure Interaction Problems
A modified Smoothed Particle Hydrodynamics (SPH) method is proposed for fluid-structure interaction (FSI) problems especially, in cases which FSI is combined with solid-rigid contacts. In current work, the modification of the utilized SPH concerns on removing the artificial viscosities and the artificial stresses (which such terms are commonly used to eliminate the effects of tensile and numeri...
متن کاملConcepts and Application of Three Dimensional Infinite Elements to Soil Structure-Interaction Problems
This study is concerned with the formulation of three dimensional mapped infinite elements with 1/r and 1/ decay types. These infinite elements are coupled with conventional finite elements and their application to some problems of soil structure interaction are discussed. The effeciency of the coupled finite-infinite elements formulation with respect to computational effort, data preparation a...
متن کاملInvestigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods
Fluid-structure interaction (FSI) occurs when the dynamic water hammer forces; cause vibrations in the pipe wall. FSI in pipe systems due to Poisson and junction coupling has been the center of attention in recent years. It causes fluctuations in pressure heads and vibrations in the pipe wall. The governing equations of this phenomenon include a system of first order hyperbolic partial differen...
متن کاملOn Mixed Finite Element Formulations for Fluid-structure Interactions
In this thesis, mixed primitive variable based finite element formulations are developed to solve linear and nonlinear fluid-structure interaction problems involving incompressible (or almost incompressible) fluid models. The mixed elements are used according to the inf-sup condition. It is pointed out that along the fluid-structure interfaces, different coupling conditions can be used accordin...
متن کاملA Strong Coupling Scheme for Fluid-structure Interaction Problems in Viscous Incompressible Flows
In the present paper an embedded-boundary formulation that is applicable to fluid structure interaction problems is presented. The Navier-Stokes equations for incompressible flow are solved on a fixed grid which is not aligned with the body. A corotational formulation is used to describe the dynamics of a body that moves through the fixed grid undergoing large-angle/large-displacement rigid bod...
متن کامل