A Review of Topology Optimisation for Fluid-Based Problems

Abstract

This review paper provides an overview of the literature for topology optimisation of fluid-based problems, starting with the seminal works on the subject and ending with a snapshot of the state of the art of this rapidly developing field. “Fluid-based problems” are defined as problems where at least one governing equation for fluid flow is solved and the fluid–solid interface is optimised. In addition to fluid flow, any number of additional physics can be solved, such as species transport, heat transfer and mechanics. The review covers 186 papers from 2003 up to and including January 2020, which are sorted into five main groups: pure fluid flow; species transport; conjugate heat transfer; fluid–structure interaction; microstructure and porous media. Each paper is very briefly introduced in chronological order of publication. A quantititive analysis is presented with statistics covering the development of the field and presenting the distribution over subgroups. Recommendations for focus areas of future research are made based on the extensive literature review, the quantitative analysis, as well as the authors’ personal experience and opinions. Since the vast majority of papers treat steady-state laminar pure fluid flow, with no recent major advancements, it is recommended that future research focuses on more complex problems, e.g., transient and turbulent flow.

2D topology optimization MATLAB codes for piezoelectric actuators and energy harvesters

“…Plenty of methods can be found in the literature to analyze and improve the performance of the piezoelectric structures, whether actuators, energy harvesters or sensors such as geometrical and size opti-mization (Schlinquer et al 2017;Bafumba Liseli and Agnus 2019;Homayouni-Amlashi et al 2020a), shape optimization (Muthalif and Nordin 2015), layers number optimization (Rabenorosoa and et al 2015), or parameters sub-optimization (Rakotondrabe and Khadraoui 2013;Khadraoui et al 2014) with interval techniques (Rakotondrabe 2011). After development of TO methodology, it is extended to different physics (Alexandersen and Andreasen 2020;Deaton and Grandhi 2014) including the piezoelectricity. Primarily, the homogenization approach is used (Silva et al 1997;Sigmund et al 1998).…”

Flow-Based Optimization of Products or Devices

“…Alexandersen and Andreasen [1] have written the first complete review on topology optimization for fluid-based problems. This research field was started in 2003; at that point in time, topology optimization of solid mechanics had already been an active research area for 15 years.…”

“…Present "A Review of Topology Optimisation for Fluid-Based Problems" by Alexandersen and Andreasen [1].…”

Functional optimization of fluidic devices with differentiable stokes flow

“…Our proposed method shares similarities with topology or shape optimization, the two prominent techniques in engineering practice for functional design of fluidic devices [Alexandersen and Andreasen 2020]. The vast majority of prior methods focus on topology optimization for steady-state laminar flows paired with no-slip boundary conditions only [Behrou et al 2019;Borrvall and Petersson 2003;Gersborg-Hansen et al 2005;Lin et al 2015].…”