11th World Congress on Structural and Multidisciplinary Optimization

نویسندگان

  • Kentaro Yaji
  • Takayuki Yamada
  • Masato Yoshino
  • Toshiro Matsumoto
  • Kazuhiro Izui
  • Shinji Nishiwaki
چکیده

1. Abstract This paper presents a topology optimization method using the lattice Boltzmann method for the design of a flow channel considering two-phase fluid flows. This approach enables the design of fluidic devices such as two-phase microchannels that achieve a desired flow with maximal performances such as mixing and reaction, and extraction efficiencies. The optimization problems are formulated using the continuous Boltzmann equation, and the design sensitivities are derived based on the adjoint lattice Boltzmann method. In the adjoint lattice Boltzmann method, based on a novel discretization strategy similar to that of the lattice Boltzmann method, the adjoint equations can be implemented as simple time evolution equations. Based on the above formulations, we construct a topology optimization method incorporating level set boundary expressions for the design of a two-phase microchannel that aims to maximize extraction efficiency while minimizing the pressure drop. A numerical example is provided to confirm the utility of the proposed method. 2.

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تاریخ انتشار 2015