# 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… Expand

#### 35 Citations

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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… Expand

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

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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… Expand

Evolutionary topology optimization for structural compliance minimization considering design-dependent FSI loads

- 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… Expand

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- Computer Science
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An adaptive no-slip boundary conditions scheme within the context of topology optimization of incompressible laminar fluid flow problems with mass flow constraints is presented, revealing the performance and efficiency of the proposed approach for use in such applications as the design of flow manifolds. Expand

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A partitioned scheme for adjoint shape sensitivity analysis of fluid-structure interactions involving non-matching meshes

- Mathematics, Computer Science
- ArXiv
- 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. Expand

An optimal control method for time-dependent fluid-structure interaction problems

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- Structural and Multidisciplinary Optimization
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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. Expand

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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… Expand

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- Finite Elements in Analysis and Design
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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… Expand

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- Computer Science, Mathematics
- ArXiv
- 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. Expand

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