An Immersed Boundary Method Based Improved Divergence-Free-Condition Compensated Coupled Framework for Solving the Flow–Particle Interactions

Pao-Hsiung Chiu, Huei Chu Weng, Raymond Byrne, Yu Zhang Che and Yan-Ting Lin
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Pao-Hsiung Chiu: Institute of High Performance Computing, Agency for Science, Technology and Research (A*STAR), Singapore 138632, Singapore
Huei Chu Weng: Department of Mechanical Engineering, Chung Yuan Christian University, Taoyuan City 320314, Taiwan
Raymond Byrne: Centre for Renewables and Energy, School of Engineering, Dundalk Institute of Technology, Dundalk, A91 K584 County Louth, Ireland
Yu Zhang Che: Department of Mechanical Engineering, Tokyo Institute of Technology, Tokyo 152-8550, Japan
Yan-Ting Lin: Institute of Nuclear Energy Research, Atomic Energy Council, Taoyuan City 325207, Taiwan

Energies, 2021, vol. 14, issue 6, 1-19

Abstract: A flow–particle interaction solver was developed in this study. For the basic flow solver, an improved divergence-free-condition compensated coupled (IDFC 2 ) framework was employed to predict the velocity and pressure field. In order to model the effect of solid particles, the differentially interpolated direct forcing immersed boundary (DIIB) method was incorporated with the IDFC 2 framework, while the equation of motion was solved to predict the displacement, rotation and velocity of the particle. The hydrodynamic force and torque which appeared in the equations of motion were directly evaluated by fluid velocity and pressure, so as to eliminate the instability problem of the density ratio close to 1. In order to effectively evaluate the drag/lift forces acting on the particle, an interpolated kernel function was introduced. The present results will be compared with the benchmark solutions to validate the present flow–particle interaction solver.

Keywords: immersed boundary method; quasi multi-moment method; incompressible Navier–Stokes equation; dispersion-relation-preserving; flow–structure interaction (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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