A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows

Peng，Cheng2; Ayala，Orlando M.3; Wang，Lian Ping1,2

2019-10-15

10.1016/j.compfluid.2019.06.032

COMPUTERS & FLUIDS   影响因子和分区

0045-7930

1879-0747

The interpolated bounce-back schemes and the immersed boundary method are the two most popular algorithms in treating a no-slip boundary on curved surfaces in the lattice Boltzmann method. While those algorithms are frequently implemented in the numerical simulations involving complex geometries, such as particle-laden flows, their performances are seldom compared systematically over the same local quantities within the same context. In this paper, we present a systematic comparative investigation on some frequently used and most state-of-the-art interpolated bounce-back schemes and immersed boundary methods, based on both theoretical analyses and numerical simulations of four selected 2D and 3D laminar flow problems. Our analyses show that immersed boundary methods (IBM) typically yield a first-order accuracy when the regularized delta-function is employed to interpolate velocity from the Eulerian to Lagrangian mesh, and the resulting boundary force back to the Eulerian mesh. This first order in accuracy for IBM is observed for both the local velocity and hydrodynamic force/torque, apparently different from the second-order accuracy sometime claimed in the literature. Another problem of immersed boundary methods is that the local stress within the diffused fluid-solid interface tends to be significantly underestimated. On the other hand, the interpolated bounce-back generally possesses a second-order accuracy for velocity, hydrodynamic force/torque, and local stress field. The main disadvantage of the interpolated bounce-back schemes is its higher level of fluctuations in the calculated hydrodynamic force/torque when a solid object moves across the grid lines. General guidelines are also provided for the necessary grid resolutions in the two approaches in order to accurately simulate flows over a solid particle.

Immersed boundary methods Interpolated bounce-back schemes Lattice Boltzmann method No-slip boundary

EI ; SCI

英语

其他

Center for Biomedical Science and Engineering, Missouri University of Science and Technology[] ; National Center for Atmospheric Research[CISL-P35751014] ; National Sleep Foundation[CNS1513031] ; National Natural Science Foundation of China[91741101]

Computer Science ; Mechanics

Computer Science, Interdisciplinary Applications ; Mechanics

WOS:000503909700019

Elsevier Ltd

20192807165220

Delta functions ; Hydrodynamics ; Kinetic theory ; Laminar flow ; Mesh generation ; Numerical methods ; Numerical models

Fluid Flow, General:631.1 ; Mathematics:921

COMPUTER SCIENCE

2-s2.0-85068478393

Scopus

1.Department of Mechanics and Aerospace EngineeringSouthern University of Science and Technology,Shenzhen,518055,China
2.126 Spencer LabDepartment of Mechanical EngineeringUniversity of Delaware,Newark,19716,United States
3.111A Kaufman HallDepartment of Engineering TechnologyOld Dominion University,Norfolk,23529,United States

Peng，Cheng,Ayala，Orlando M.,Wang，Lian Ping. A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows[J]. COMPUTERS & FLUIDS,2019,192.

Peng，Cheng,Ayala，Orlando M.,&Wang，Lian Ping.(2019).A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows.COMPUTERS & FLUIDS,192.

Peng，Cheng,et al."A comparative study of immersed boundary method and interpolated bounce-back scheme for no-slip boundary treatment in the lattice Boltzmann method: Part I, laminar flows".COMPUTERS & FLUIDS 192(2019).