# An immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problems

@article{Jenkins2016AnIB, title={An immersed boundary approach for shape and topology optimization of stationary fluid-structure interaction problems}, author={Nicholas W. Jenkins and Kurt Maute}, journal={Structural and Multidisciplinary Optimization}, year={2016}, volume={54}, pages={1191-1208} }

This paper presents an approach to shape and topology optimization of fluid-structure interaction (FSI) problems at steady state. The overall approach builds on an immersed boundary method that couples a Lagrangian formulation of the structure to an Eulerian fluid model, discretized on a deforming mesh. The geometry of the fluid-structure boundary is manipulated by varying the nodal parameters of a discretized level set field. This approach allows for topological changes of the fluid-structure…

## 37 Citations

Revisiting density-based topology optimization for fluid-structure-interaction problems

- Mathematics
- 2018

This study revisits the application of density-based topology optimization to fluid-structure-interaction problems. The Navier-Cauchy and Navier-Stokes equations are discretized using the finite…

University of Southern Denmark Revisiting density-based topology optimization for fluid-structure-interaction problems Lundgaard,

- 2018

This study revisits the application of densitybased topology optimization to fluid-structure-interaction problems. The Navier-Cauchy and Navier-Stokes equations are discretized using the finite…

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- Mathematics
- 2017

This work presents an extended bi-directional evolutionary structural optimization (BESO) method applied to static structural design problems considering the interaction between viscous fluid flows…

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- Computer ScienceComputer Methods in Applied Mechanics and Engineering
- 2019

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- 2020

A current challenge for the structural topology optimization methods is the development of trustful techniques to account for different physics interactions. This paper devises a technique that…

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- Mathematics, Computer ScienceArXiv
- 2019

Numerical studies show that the complete formulation computes accurate shape gradients whereas inaccuracies appear in the reduced gradients, specially in regions of strong flow gradients and near singularities, Nevertheless, reduced gradient formulations are found to be a compromise between computational costs and accuracy.

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- Computer ScienceStructural and Multidisciplinary Optimization
- 2021

This article derives an adjoint fluid-structure interaction (FSI) system in an arbitrary Lagrangian-Eulerian (ALE) framework, based upon a one-field finite element method, which is validated and assessed against a series of static and dynamic benchmark FSI problems.

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- Mathematics
- 2018

Abstract This paper proposes a new interpolation technique based on density approach to solve topology optimization problems for heat transfer. Natural convection forces are dominated as Richardson…

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- Finite Elements in Analysis and Design
- 2018

Abstract This article presents an optimisation framework for the compliance minimisation of structures subjected to design-dependent pressure loads. A finite element solver coupled to a Lattice…

A monolithic one-velocity-field optimal control formulation for fluid-structure interaction problems with large solid deformation

- Computer Science, MathematicsArXiv
- 2021

A monolithic optimal control method for general time-dependent Fluid-Structure Interaction (FSI) systems with large solid deformation and efficiency of reducing the objective function with control of the solid velocity is proposed.

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