Robust and provably second-order explicit-explicit and implicit-explicit staggered time-integrators for highly non-linear compressible fluid-structure interaction problems

2010 ◽  
Vol 84 (1) ◽  
pp. 73-107 ◽  
Author(s):  
C. Farhat ◽  
A. Rallu ◽  
K. Wang ◽  
T. Belytschko
Keyword(s):  
Compressible Fluid ◽  
Fluid Structure Interaction ◽  
Second Order ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Time Integrators ◽  
Non Linear

scholarly journals Efficient optimization procedure in non-linear fluid-structure interaction problem: Application to mainsail trimming in upwind conditions

2017 ◽  
Vol 69 ◽  
pp. 209-231 ◽  
Author(s):  
Matthieu Sacher ◽  
Frédéric Hauville ◽  
Régis Duvigneau ◽  
Olivier Le Maître ◽  
Nicolas Aubin ◽  
...  
Keyword(s):  
Fluid Structure Interaction ◽  
Optimization Procedure ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Non Linear ◽  
Interaction Problem

Numerical Analysis of Hydrofoil Dynamics by Using a Fluid-Structure Interaction Approach

2012 ◽  
Author(s):  
Tolotra Emerry Rajaomazava ◽  
Mustapha Benaouicha ◽  
Jacques-André Astolfi
Keyword(s):  
Stokes Problem ◽  
Fluid Structure Interaction ◽  
Time Discretization ◽  
Navier Stokes ◽  
Arbitrary Lagrangian Eulerian ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Ale Formulation ◽  
Non Linear ◽  
Interaction Approach

In this paper, the flow over pitching and heaving hydrofoil is investigated. The viscous incompressible Navier-Stokes problem in Arbitrary Lagrangian-Eulerian (ALE) formulation is solved using the finite elements code Cast3M. The projection method is used to uncouple the velocity and pressure fields. The implicit Euler scheme is applied for time discretization of fluid equations. The dynamics of the hydrofoil is governed by a non-linear ordinary differential equation. The non-linear coupled problem is solved using the explicit staggered algorithm. The effects of fluid-structure interaction on hydrofoil dynamics and pressure center position are analyzed.

scholarly journals Observability and unique continuation of the adjoint of a linearized simplified compressible fluid-structure model in a 2d channel.

2020 ◽  
Author(s):  
Sourav Mitra
Keyword(s):  
Compressible Fluid ◽  
Fluid Structure Interaction ◽  
Interaction Model ◽  
Unique Continuation ◽  
Adjoint Problem ◽  
Observability Inequality ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Unique Continuation Property ◽  
Fluid Boundary

We consider a compressible fluid structure interaction model in a 2D channel with a simplified expression of the net force acting on the structure appearing at the fluid boundary. Concerning the structure we will consider a damped Euler-Bernoulli beam located on a portion of the boundary. In the present article we establish an observability inequality for the adjoint of the linearized fluid structure interaction problem under consideration which in principle is equivalent with the null controllability of the linearized system. As a corollary of the derived observability inequality we also obtain a unique continuation property for the adjoint problem.

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