分科会「非平衡流体への運動学的アプローチ」(第2回)

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日時: 2020年11月27日(金) 16:15-17:15
場所: オンライン開催
講演: Some formulations of the volume force in the immersed boundary method and a new approach in combination with the lattice Boltzmann method
Prof. Kosuke Suzuki (Institute of Engineering, Academic Assembly, Shinshu University, Japan)
鈴木 康祐 准教授 (信州大学 学術研究院 (工学系) )
要旨: One of the important issues in computational fluid dynamics is to simulate moving-boundary flows efficiently. The immersed boundary method (IBM), which was proposed by Peskin in 1970s in order to simulate blood flows in the heart, has been reconsidered as an efficient method for simulating moving-boundary flows on a fixed Cartesian grid. In the IBM, it is assumed that the boundary is regarded as an infinitely thin shell, an incompressible viscous fluid fills in both inside and outside of the boundary, and the no-slip condition on the boundary is satisfied by volume force applied only near the boundary. The way to determine the volume force is the key concept of the IBM. In this talk, I introduce some formulations of the volume force in the IBM. Then, I present a new approach in combination with the lattice Boltzmann method (LBM). In this approach, the volume force of the IBM is regarded as the discontinuity of the stress tensor, and the stress tensor is calculated from the desired particle distribution functions of the LBM. This approach enables us to calculate the stress tensor on the boundary which is blurred by the volume force.