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Home Archives Officers Future meetings American Society of Thermal and Fluids Engineering

ISBN : 978-1-56700-517-2 (Flash drive)

5-6th Thermal and Fluids Engineering Conference (TFEC)
2021, 26–28 May , Virtual

TOPOLOGY OPTIMIZATION FOR THERMAL FLOW BASED ON ADJOINT LATTICE BOLTZMANN METHOD AND LEVEL SET METHOD

Get access pages 1085-1094
DOI: 10.1615/TFEC2021.hte.036705

Abstract

Obtaining the optimal structural design is the main purpose of many engineering problems. Topology optimization is a dependable approach to get an optimized design with better performance. After decades of rapid development, it has been applied to various physical fields such as structural mechanics, fluid mechanics and heat transfer. This work presents a topology optimization method for thermal flow problems. The adjoint method is employed to calculate the design sensitivity which is used to update the geometry, the state variables (i.e. u, v, p, T) in the forward problem are solved using lattice Boltzmann method (LBM) and adjoint variables are solved in a manner similar to LBM that is called adjoint lattice Boltzmann method (ALBM). Besides, the geometry is represented with a level set function, which always ensures a clear interface between two materials during the structure evolution. The optimization example is the 2D laminar flow with heat transfer in a square domain discretized by 100×100 elements, where the cold water with given volume flux and temperature enters the design domain to cool down the top and bottom walls with higher temperature and then flows to the outlet with given pressure. The objective is to minimize the mean temperature of the domain under the constraint of pressure drop. A structure with airfoil shape is obtained which brings a mean temperature drop of 6.3 K under 9 times of initial pressure drop, better than that has been reported in the literature.
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