An efficient explicit immersed boundary-reconstructed lattice Boltzmann flux solver for isothermal fluid-structure interaction problems with large deformations and complex geometries

Wu, Buchen1,2; Lu, Jinhua5; Lee, HsuChew3; Shu, Chang2; Wan, Minping1,3,4

2023-02-01

10.1016/j.apm.2022.10.017

APPLIED MATHEMATICAL MODELLING   Impact Factor & Quartile

0307-904X

1872-8480

In this paper, a novel approach for isothermal fluid-structure interaction (FSI) problems is proposed that not only inherits the advantages of a reconstructed lattice Boltzmann flux solver (RLBFS) in solving the fluid field, but also retains the efficiency found in the explicit boundary condition-enforced immersed boundary method (EIB) for implementa-tion of boundary conditions on the solid wall. Hence, the new approach (EIB-RLBFS) is highly suitable for complex FSI problems such as large deformations and complex geome-tries. Furthermore, the arbitrary Lagrangian-Eulerian (ALE) approach is integrated with EIB-RLBFS to solve moving boundary problems efficiently. The structural dynamics are solved by a finite difference method for moving objects and flexible structures. The overall frame-work of EIB-RLBFS is simple yet robust, where a fractional method is applied to split the FSI process into a predictor step and a corrector step. The RLBFS is applied in the predic-tor step to predict the intermediate flow field, while the EIB is invoked in the corrector step to impose the no-slip boundary conditions within the flow field, thereby, correcting the predicted flow field to satisfy the no-slip boundary conditions. The proposed approach (EIB-RLBFS) has been tested and evaluated extensively in terms of accuracy and efficiency on several benchmark cases such as, a 2D self-propelled unconstrained flapping/undulatory foil, a 2D filament, a 3D streamwise rotating sphere, and a 3D flapping flag. Results ob-tained using the proposed approach are in good agreement with previous studies, sub-stantiating the capability and flexibility of EIB-RLBFS for solving FSI problems. (c) 2022 Elsevier Inc. All rights reserved.

Reconstructed lattice Boltzmann flux solver Explicit immersed boundary method Arbitrary Lagrangian-Eulerian method Rigid flexible structure-fluid interaction

SCI

English

First ; Corresponding

Key -Area Research and Development Program of Guangdong Province[KQTD20180411143441009] ; [2021B0101190003] ; [2020B1212030001]

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000877521900003

ELSEVIER SCIENCE INC

ENGINEERING

Web of Science

1.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen NCAMS, Shenzhen 518055, Guangdong, Peoples R China
2.Natl Univ Singapore, Dept Mech Engn, 10 Kent Ridge Crescent, Singapore 119260, Singapore
3.Southern Univ Sci & Technol, Guangdong Prov Key Lab TB Res & Applicat, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Hong Kong Macao Joint Lab Data Driven F, Shenzhen 518055, Guangdong, Peoples R China
5.Tech Univ Munich, Chair Aerodynam & Fluid Mech, Dept Mech Engn, Boltzmannstr 15, D-85748 Garching, Germany

Wu, Buchen,Lu, Jinhua,Lee, HsuChew,et al. An efficient explicit immersed boundary-reconstructed lattice Boltzmann flux solver for isothermal fluid-structure interaction problems with large deformations and complex geometries[J]. APPLIED MATHEMATICAL MODELLING,2023,114.

Wu, Buchen,Lu, Jinhua,Lee, HsuChew,Shu, Chang,&Wan, Minping.(2023).An efficient explicit immersed boundary-reconstructed lattice Boltzmann flux solver for isothermal fluid-structure interaction problems with large deformations and complex geometries.APPLIED MATHEMATICAL MODELLING,114.

Wu, Buchen,et al."An efficient explicit immersed boundary-reconstructed lattice Boltzmann flux solver for isothermal fluid-structure interaction problems with large deformations and complex geometries".APPLIED MATHEMATICAL MODELLING 114(2023).