Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary-Lattice Boltzmann method

J. Wu, C. Shu, Y.H. Zhang

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A variant of immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this paper to simulate incompressible viscous flows around moving objects. As compared with the conventional IB-LBM where the force density is computed explicitly by Hook's law or the direct forcing method and the non-slip condition is only approximately satisfied, in the present work, the force density term is considered as the velocity correction which is determined by enforcing the non-slip condition at the boundary. The lift and drag forces on the moving object can be easily calculated via the velocity correction on the boundary points. The capability of the present method for moving objects is well demonstrated through its application to simulate flows around a moving circular cylinder, a rotationally oscillating cylinder, and an elliptic flapping wing. Furthermore, the simulation of flows around a flapping flexible airfoil is carried out to exhibit the ability of the present method for implementing the elastic boundary condition. It was found that under certain conditions, the flapping flexible airfoil can generate larger propulsive force than the flapping rigid airfoil.
LanguageEnglish
Pages327-354
Number of pages27
JournalInternational Journal of Numerical Methods in Fluids
Volume62
Issue number3
DOIs
Publication statusPublished - 30 Jan 2010

Fingerprint

Immersed Boundary Method
Incompressible Viscous Flow
Lattice Boltzmann Method
Airfoil
Viscous flow
Moving Objects
Airfoils
Oscillating cylinders
Simulation
Drag Force
Hooks
Circular Cylinder
Circular cylinders
Forcing
Drag
Boundary conditions
Term

Keywords

  • immersed boundary method
  • lattice boltzmann method
  • moving objects
  • incompressible flow
  • velocity correction
  • non-slip condition
  • lagrangian-eulerian method
  • navier-stokes equations
  • Cartesian grid method
  • circular cylinder
  • fluid flows
  • numerical simulation

Cite this

@article{d7ff9675f481407bbe24eb2a2ed9c834,
title = "Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary-Lattice Boltzmann method",
abstract = "A variant of immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this paper to simulate incompressible viscous flows around moving objects. As compared with the conventional IB-LBM where the force density is computed explicitly by Hook's law or the direct forcing method and the non-slip condition is only approximately satisfied, in the present work, the force density term is considered as the velocity correction which is determined by enforcing the non-slip condition at the boundary. The lift and drag forces on the moving object can be easily calculated via the velocity correction on the boundary points. The capability of the present method for moving objects is well demonstrated through its application to simulate flows around a moving circular cylinder, a rotationally oscillating cylinder, and an elliptic flapping wing. Furthermore, the simulation of flows around a flapping flexible airfoil is carried out to exhibit the ability of the present method for implementing the elastic boundary condition. It was found that under certain conditions, the flapping flexible airfoil can generate larger propulsive force than the flapping rigid airfoil.",
keywords = "immersed boundary method, lattice boltzmann method, moving objects, incompressible flow, velocity correction, non-slip condition, lagrangian-eulerian method, navier-stokes equations, Cartesian grid method, circular cylinder, fluid flows, numerical simulation",
author = "J. Wu and C. Shu and Y.H. Zhang",
year = "2010",
month = "1",
day = "30",
doi = "10.1002/fld.2023",
language = "English",
volume = "62",
pages = "327--354",
journal = "International Journal of Numerical Methods in Fluids",
issn = "0271-2091",
number = "3",

}

TY - JOUR

T1 - Simulation of incompressible viscous flows around moving objects by a variant of immersed boundary-Lattice Boltzmann method

AU - Wu, J.

AU - Shu, C.

AU - Zhang, Y.H.

PY - 2010/1/30

Y1 - 2010/1/30

N2 - A variant of immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this paper to simulate incompressible viscous flows around moving objects. As compared with the conventional IB-LBM where the force density is computed explicitly by Hook's law or the direct forcing method and the non-slip condition is only approximately satisfied, in the present work, the force density term is considered as the velocity correction which is determined by enforcing the non-slip condition at the boundary. The lift and drag forces on the moving object can be easily calculated via the velocity correction on the boundary points. The capability of the present method for moving objects is well demonstrated through its application to simulate flows around a moving circular cylinder, a rotationally oscillating cylinder, and an elliptic flapping wing. Furthermore, the simulation of flows around a flapping flexible airfoil is carried out to exhibit the ability of the present method for implementing the elastic boundary condition. It was found that under certain conditions, the flapping flexible airfoil can generate larger propulsive force than the flapping rigid airfoil.

AB - A variant of immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this paper to simulate incompressible viscous flows around moving objects. As compared with the conventional IB-LBM where the force density is computed explicitly by Hook's law or the direct forcing method and the non-slip condition is only approximately satisfied, in the present work, the force density term is considered as the velocity correction which is determined by enforcing the non-slip condition at the boundary. The lift and drag forces on the moving object can be easily calculated via the velocity correction on the boundary points. The capability of the present method for moving objects is well demonstrated through its application to simulate flows around a moving circular cylinder, a rotationally oscillating cylinder, and an elliptic flapping wing. Furthermore, the simulation of flows around a flapping flexible airfoil is carried out to exhibit the ability of the present method for implementing the elastic boundary condition. It was found that under certain conditions, the flapping flexible airfoil can generate larger propulsive force than the flapping rigid airfoil.

KW - immersed boundary method

KW - lattice boltzmann method

KW - moving objects

KW - incompressible flow

KW - velocity correction

KW - non-slip condition

KW - lagrangian-eulerian method

KW - navier-stokes equations

KW - Cartesian grid method

KW - circular cylinder

KW - fluid flows

KW - numerical simulation

UR - http://www.scopus.com/inward/record.url?scp=77950151408&partnerID=8YFLogxK

U2 - 10.1002/fld.2023

DO - 10.1002/fld.2023

M3 - Article

VL - 62

SP - 327

EP - 354

JO - International Journal of Numerical Methods in Fluids

T2 - International Journal of Numerical Methods in Fluids

JF - International Journal of Numerical Methods in Fluids

SN - 0271-2091

IS - 3

ER -