Model Reduction Framework with a New Take on Active Subspaces for Optimization Problems with Linearized Fluid‐Structure Interaction Constraints

Although competitive sailing yachts may sail fast today this is mainly due to material progress, not sail design. It is always difficult to design a set of sails for a given boat and sailing conditions. A sail has one design shape but an infinite number of corresponding flying shapes depending on materials, trimming, rigging and wind conditions. In this paper a computational framework for sail analysis, design and optimization has been extended to Fluid-Structure Interaction (FSI) and will be presented. The multi-physics computational framework is based on a viscous Computational Fluid Dynamics (CFD) solver for the fluid part and on a nonlinear structural modelling for the structural part. A loose coupling of both models has been implemented to be able to make Fluid-Structure Interaction simulations on various sail configurations and to investigate the relation between a design shape and its corresponding flying shapes. The computational framework presented also contains an optimization package based on derivative free evolutionary strategies to address complex, nonlinear optimization problems. It will be used on few examples of sail design questions to illustrate how it may contribute to put some rational elements in a rather frequently passionate discussion between sailors, sail designers, naval architects and amateurs to design the right set of sails for a given boat.

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Galerkin-free model reduction for fluid-structure interaction using proper orthogonal decomposition

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.073 ◽

2019 ◽

Vol 396 ◽

pp. 579-595 ◽

Cited By ~ 4

Author(s):

Vilas Shinde ◽

Elisabeth Longatte ◽

Franck Baj ◽

Yannick Hoarau ◽

Marianna Braza

Keyword(s):

Proper Orthogonal Decomposition ◽

Model Reduction ◽

Fluid Structure Interaction ◽

Orthogonal Decomposition ◽

Fluid Structure ◽

Structure Interaction ◽

Free Model ◽

Proper Orthogonal

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An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2017006 ◽

2018 ◽

Vol 52 (4) ◽

pp. 1501-1532

Author(s):

Andrea Manzoni ◽

Luca Ponti

Keyword(s):

Shape Optimization ◽

Optimization Problems ◽

Fluid Structure Interaction ◽

Optimal Solution ◽

Model Potential ◽

Adjoint Problem ◽

Elastic Channel ◽

Fluid Structure ◽

Structure Interaction ◽

Unsteady Stokes Flow

In this work, we propose both a theoretical framework and a numerical method to tackle shape optimization problems related with fluid dynamics applications in presence of fluid-structure interactions. We present a general framework relying on the solution to a suitable adjoint problem and the characterization of the shape gradient of the cost functional to be minimized. We show how to derive a system of (first-order) optimality conditions combining several tools from shape analysis and how to exploit them in order to set a numerical iterative procedure to approximate the optimal solution. We also show how to deal efficiently with shape deformations (resulting from both the fluid-structure interaction and the optimization process). As benchmark case, we consider an unsteady Stokes flow in an elastic channel with compliant walls, whose motion under the effect of the flow is described through a linear Koiter shell model. Potential applications are related e.g. to design of cardiovascular prostheses in physiological flows or design of components in aerodynamics.

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Validation of Computational Fluid Structure Interaction Models for Shape Optimization Under Blast Impact

Volume 1: 36th Design Automation Conference, Parts A and B ◽

10.1115/detc2010-28110 ◽

2010 ◽

Author(s):

Huade Tan ◽

John Goetz ◽

Andre´s Tovar ◽

John E. Renaud

Keyword(s):

Optimization Problems ◽

Fluid Structure Interaction ◽

Fluid Structure Interactions ◽

Fluid Structure ◽

Structure Interaction ◽

Blast Energy ◽

Interaction Simulation ◽

Fully Coupled ◽

Structural Optimization Problem ◽

Interaction Problem

A first order structural optimization problem is examined to evaluate the effects of structural geometry on blast energy transfer in a fully coupled fluid structure interaction problem. The fidelity of the fluid structure interaction simulation is shown to yield significant insights into the blast mitigation problem not captured in similar empirically based blast models. An emphasis is placed on the accuracy of simulating such fluid structure interactions and its implications on designing continuum level structures. Higher order design methodologies and algorithms are discussed for the application of such fully coupled simulations on vehicle level optimization problems.

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