Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers

F Feppon, G Allaire, C Dapogny, P Jolivet - Computer Methods in Applied …, 2021 - Elsevier
We present a topology optimization approach for the design of fluid-to-fluid heat exchangers
which rests on an explicit meshed discretization of the phases at stake, at every iteration of …

Density-based topology optimization with the Null Space Optimizer: a tutorial and a comparison

F Feppon - Structural and Multidisciplinary Optimization, 2024 - Springer
Abstract The Null Space Optimizer is a constrained optimization solver that has been
developed in the context of level-set-based Topology Optimization. One of its appealing …

Yet another parameter-free shape optimization method

KE Swartz, K Mittal, M Schmidt, JL Barrera… - Structural and …, 2023 - Springer
The use of node coordinates as design variables in shape optimization offers a larger
design space than computer-aided design (CAD)-based shape parameterizations. It also …

A novel p-harmonic descent approach applied to fluid dynamic shape optimization

PM Müller, N Kühl, M Siebenborn, K Deckelnick… - Structural and …, 2021 - Springer
We introduce a novel method for the implementation of shape optimization for non-
parameterized shapes in fluid dynamics applications, where we propose to use the shape …

Topology optimization of structures undergoing brittle fracture

J Desai, G Allaire, F Jouve - Journal of Computational Physics, 2022 - Elsevier
In the framework of the level-set method we propose a topology optimization algorithm for
linear elastic structures which can exhibit fractures. In the spirit of Griffith theory, brittle …

Multiscale Topology Optimization of modulated fluid microchannels based on asymptotic homogenization

F Feppon - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Dehomogenization techniques are becoming increasingly popular for enhancing lattice
designs of compliant mechanical systems with ultra-large resolutions. Their effectiveness …

A novel W1,∞ approach to shape optimisation with Lipschitz domains

K Deckelnick, PJ Herbert, M Hinze - ESAIM: Control, Optimisation …, 2022 - esaim-cocv.org
This article introduces a novel method for the implementation of shape optimisation with
Lipschitz domains. We propose to use the shape derivative to determine deformation fields …

Nonlinear shape optimization of flexible mechanical metamaterials

E Medina, CH Rycroft, K Bertoldi - Extreme Mechanics Letters, 2023 - Elsevier
Shape optimization is used to design flexible mechanical metamaterials. We employ the
higher-order moving-mesh method to arbitrarily parameterize the geometries and tune their …

Geometric aspects of shape optimization

PI Plotnikov, J Sokolowski - The Journal of Geometric Analysis, 2023 - Springer
We present a review of known results in shape optimization from the point of view of
Geometric Analysis. This paper is devoted to the mathematical aspects of the shape …

Shape optimization using a level set based mesh evolution method: an overview and tutorial

C Dapogny, F Feppon - Comptes …, 2023 - comptes-rendus.academie-sciences …
This article revolves around a recent numerical framework for shape and topology
optimization, which features an exact mesh of the shape at each iteration of the process …