Topology optimization in thermal-fluid flow using the lattice Boltzmann method

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 adjoint lattice Boltzmann method (ALBM), whose basic idea is that the adjoint problem is first formulated using a continuous...

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Bibliographic Details
Published in:Journal of computational physics 2016-02, Vol.307, p.355-377
Main Authors: Yaji, Kentaro, Yamada, Takayuki, Yoshino, Masato, Matsumoto, Toshiro, Izui, Kazuhiro, Nishiwaki, Shinji
Format: Article
Language:English
Subjects:
Adjoint lattice Boltzmann method
Adjoints
Computational fluid dynamics
Discrete velocity Boltzmann equation
Heat exchange
Mathematical models
Maximization
Pressure drop
Sensitivity analysis
Thermal-fluid flow
Topology optimization
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Summary: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 adjoint lattice Boltzmann method (ALBM), whose basic idea is that the adjoint problem is first formulated using a continuous adjoint approach, and the adjoint problem is then solved using the LBM. In this paper, the discrete velocity Boltzmann equation, in which only the particle velocities are discretized, is introduced to the ALBM to deal with the various boundary conditions in the LBM. The novel sensitivity analysis is applied in two flow channel topology optimization problems: 1) a pressure drop minimization problem, and 2) a heat exchange maximization problem. Several numerical examples are provided to confirm the utility of the proposed method.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2015.12.008