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 …

In the context of science, the well-known adage" a picture is worth a thousand words" might
well be" a model is worth a thousand datasets." In this manuscript we introduce the SciML …

In this work, the level-set based topology optimization (TO) method for optimizing the
distribution of porous metal foam in the fully-coupled natural convection system is …

This paper proposes a topology optimization method for thermal-fluid flow problems using
the lattice Boltzmann method (LBM). The design sensitivities are derived based on the …

A topology optimization method based on the double multiple-relaxation-time (MRT) lattice
Boltzmann method and level-set method is developed for 3D natural convection heat …

In this paper we present a topology optimization technique applicable to a broad range of
flow design problems. We propose also a discrete adjoint formulation effective for a wide …

This article demonstrates and discusses topology optimization for unsteady incompressible
fluid flows. The fluid flows are simulated using the lattice Boltzmann method, and a partial …

This paper presents an adjoint Lattice Boltzmann Method (LBM) coupled with the Level-Set
Method (LSM) for topology optimization of thermal fluid flows. The adjoint-state formulation …

Topology optimization (TO) is a dependable approach to obtain innovative designs with
improved performance. This study presents a TO method based on the adjoint lattice …

A design optimization method applicable to both rarefied and continuum gas flows with good
efficiency is proposed in the framework of gas-kinetic theory. The method follows the …