GLOBAL CLASSICAL SOLUTIONS FOR A COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL

2013 ◽  
Vol 10 (03) ◽  
pp. 537-562 ◽  
Author(s):  
MYEONGJU CHAE ◽  
KYUNGKEUN KANG ◽  
JIHOON LEE
Keyword(s):  
Stokes Equations ◽  
Particle Interaction ◽  
Three Dimensional ◽  
Interaction Model ◽  
Planck Equation ◽  
Navier Stokes ◽  
Classical Solutions ◽  
Navier Stokes Equations ◽  
Global Classical Solutions ◽  
System Coupling

We consider a system coupling the compressible Navier–Stokes equations to the Vlasov–Fokker–Planck equation on three-dimensional torus. The coupling arises from a drag force exerted by each other. We establish the existence of the global classical solutions close to an equilibrium, and further prove that the solutions converge to the equilibrium exponentially fast.

scholarly journals Local Existence of Strong Solutions of a Fluid–Structure Interaction Model

2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Sourav Mitra
Keyword(s):  
Stokes Equations ◽  
Local Existence ◽  
Interaction Model ◽  
Strong Solutions ◽  
Coupled System ◽  
Elastic Structure ◽  
Navier Stokes ◽  
Beam Equation ◽  
Navier Stokes Equations ◽  
System Coupling

AbstractWe are interested in studying a system coupling the compressible Navier–Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is rectangular and the beam is located on the upper side of the rectangle. The elastic structure is modeled by an Euler–Bernoulli damped beam equation. We prove the local in time existence of strong solutions for that coupled system.

Analysis of Loads and Response on Flexible Riser under the Combined Effects of Wave and Current

2015 ◽  
Vol 723 ◽  
pp. 120-124 ◽  
Author(s):  
Zi Xin Wu ◽  
Ren Qing Zhu ◽  
Si Qi Gu ◽  
Zhi Ping Xia ◽  
Yang Luo ◽  
...  
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Flexible Riser ◽  
Navier Stokes Equations ◽  
Volume Method ◽  
System Coupling ◽  
Reynolds Average ◽  
Viscid Fluid ◽  
Module System

A three dimensional computational model is established for the analysis of loads and response of flexible riser in a wave-current coexisting environment. The viscid fluid is assumed incompressible. The flow field is described by continuity equation and Reynolds Average Navier-Stokes equations and solved with the discretization of Finite-Volume Method. The structure responses are analyzed employing finite element method based on three dimensional solid element. The loads and response are calculated through the CFD module System Coupling in software package ANSYS14.5. The results show that the vibration equilibrium position of riser offsets along with the direction of current when wave and current are in the same direction, the response of the riser is larger than that only in wave, the vibration amplitude increases with the current and the results are opposite to the above when wave and current has the opposite direction.

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