Sharp interface immersed boundary method for simulating three-dimensional swimming fish

A second order finite-difference numerical method is used to solve the Navier–Stokes equations of incompressible flow, in which the solid body with complex geometry is immersed into the fluid domain with orthogonal Cartesian meshes. To account for influences of the solid body, interactive forces are...

Full description

Bibliographic Details
Main Authors: Zuo Cui, Zixuan Yang, Hongzhou Jiang
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Engineering Applications of Computational Fluid Mechanics
Subjects:
Online Access:http://dx.doi.org/10.1080/19942060.2020.1724197
_version_ 1819276623184134144
author Zuo Cui
Zixuan Yang
Hongzhou Jiang
author_facet Zuo Cui
Zixuan Yang
Hongzhou Jiang
author_sort Zuo Cui
collection DOAJ
description A second order finite-difference numerical method is used to solve the Navier–Stokes equations of incompressible flow, in which the solid body with complex geometry is immersed into the fluid domain with orthogonal Cartesian meshes. To account for influences of the solid body, interactive forces are applied as boundary conditions at Cartesian grid nodes located in the exterior but in the immediate vicinity of the solid body. Fluid flow velocities in these nodes are reconstructed to track and control the deformation of the solid body, in which the local direction normal to the body surface is employed using the level-set function. The capabilities of this method are demonstrated by the application to fish swimming, and the computed behaviors of swimming fish agree well with experimental ones. The results elucidate that the ability of swimming fish to produce more thrust and high efficiency is closely related to the Reynolds number. The single reverse Kármán street tends to appear when both the Strouhal number and tail-beating frequency are small, otherwise the double-row reverse Kármán street appears. The algorithm can capture the geometry of a deformable solid body accurately, and performs well in simulating interactions between fluid flow and the deforming and moving body.
first_indexed 2024-12-23T23:43:09Z
format Article
id doaj.art-67645d09c83b4e05a290a30857899036
institution Directory Open Access Journal
issn 1994-2060
1997-003X
language English
last_indexed 2024-12-23T23:43:09Z
publishDate 2020-01-01
publisher Taylor & Francis Group
record_format Article
series Engineering Applications of Computational Fluid Mechanics
spelling doaj.art-67645d09c83b4e05a290a308578990362022-12-21T17:25:36ZengTaylor & Francis GroupEngineering Applications of Computational Fluid Mechanics1994-20601997-003X2020-01-0114153454410.1080/19942060.2020.17241971724197Sharp interface immersed boundary method for simulating three-dimensional swimming fishZuo Cui0Zixuan Yang1Hongzhou Jiang2School of Aerospace Engineering, Guizhou Institute of TechnologyThe State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of SciencesSchool of Mechatronics Engineering, Harbin Institute of TechnologyA second order finite-difference numerical method is used to solve the Navier–Stokes equations of incompressible flow, in which the solid body with complex geometry is immersed into the fluid domain with orthogonal Cartesian meshes. To account for influences of the solid body, interactive forces are applied as boundary conditions at Cartesian grid nodes located in the exterior but in the immediate vicinity of the solid body. Fluid flow velocities in these nodes are reconstructed to track and control the deformation of the solid body, in which the local direction normal to the body surface is employed using the level-set function. The capabilities of this method are demonstrated by the application to fish swimming, and the computed behaviors of swimming fish agree well with experimental ones. The results elucidate that the ability of swimming fish to produce more thrust and high efficiency is closely related to the Reynolds number. The single reverse Kármán street tends to appear when both the Strouhal number and tail-beating frequency are small, otherwise the double-row reverse Kármán street appears. The algorithm can capture the geometry of a deformable solid body accurately, and performs well in simulating interactions between fluid flow and the deforming and moving body.http://dx.doi.org/10.1080/19942060.2020.1724197immersed boundary methodself-propelled fishlevel-set functionvortex streetstrouhal number
spellingShingle Zuo Cui
Zixuan Yang
Hongzhou Jiang
Sharp interface immersed boundary method for simulating three-dimensional swimming fish
Engineering Applications of Computational Fluid Mechanics
immersed boundary method
self-propelled fish
level-set function
vortex street
strouhal number
title Sharp interface immersed boundary method for simulating three-dimensional swimming fish
title_full Sharp interface immersed boundary method for simulating three-dimensional swimming fish
title_fullStr Sharp interface immersed boundary method for simulating three-dimensional swimming fish
title_full_unstemmed Sharp interface immersed boundary method for simulating three-dimensional swimming fish
title_short Sharp interface immersed boundary method for simulating three-dimensional swimming fish
title_sort sharp interface immersed boundary method for simulating three dimensional swimming fish
topic immersed boundary method
self-propelled fish
level-set function
vortex street
strouhal number
url http://dx.doi.org/10.1080/19942060.2020.1724197
work_keys_str_mv AT zuocui sharpinterfaceimmersedboundarymethodforsimulatingthreedimensionalswimmingfish
AT zixuanyang sharpinterfaceimmersedboundarymethodforsimulatingthreedimensionalswimmingfish
AT hongzhoujiang sharpinterfaceimmersedboundarymethodforsimulatingthreedimensionalswimmingfish