Higher-order accurate difference solutions of vortex generation from a circular cylinder in an oscillatory flow
type: Item
instance of: scholarly article
title: Higher-order accurate difference solutions of vortex generation from a circular cylinder in an oscillatory flow
zbMATH Open document ID: 0609.76031
DOI: 10.1016/0021-9991(87)90173-2
author: Nobuhiro Baba
author: Hideaki Miyata
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: A higher-order difference solution method is presented for viscous flow around an oscillating body. The Navier-Stokes equation in a rotational form, which conserves both momentum and kinetic energy, is approximated into a difference form by a fourth-order compact differencing in a general boundary-fitted curvilinear coordinate system. A time-marching procedure is derived and the high resolution property is demonstrated with the computations of some simple problems. The simulation of a viscous flow around a circular cylinder sinusoidally oscillating at low Keulegan-Carpenter number elucidates fairly well the sequential viscous flow mechanism of boundary layer development, flow separation, and vortex shedding with pairing.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 3986866
zbMATH Keywords: initial conditions
zbMATH Keywords: higher-order difference solution method
zbMATH Keywords: viscous flow
zbMATH Keywords: oscillating body
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: fourth-order compact differencing
zbMATH Keywords: general boundary-fitted curvilinear coordinate system
zbMATH Keywords: time-marching procedure
zbMATH Keywords: high resolution property
zbMATH Keywords: circular cylinder
zbMATH Keywords: Keulegan-Carpenter number
zbMATH Keywords: boundary layer development
zbMATH Keywords: flow separation
zbMATH Keywords: vortex shedding with pairing
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90173-2
OpenAlex ID: W2042468902
cites work: Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder
cites work: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
cites work: Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
cites work: Transformation of three-dimensional regions onto rectangular regions by elliptic systems
cites work: Finite difference simulation of nonlinear waves generated by ships of arbitrary three-dimensional configuration
cites work: Q4048745
cites work: Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
cites work: Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
cites work: Conservation form of the Navier-Stokes equations in general nonsteady coordinates
Recommended article: Vortex formation processes from an oscillating circular cylinder at high Keulegan–Carpenter numbers
Recommended article: Numerical analysis of 2D vortex‐induced oscillations of a circular cylinder
Recommended article: Numerical investigation of vortex-induced vibrations for flow past a circular cylinder
Recommended article: A numerical study of the vortex motion in oscillating flow around a circular cylinder at low and middlieKc numbers
Recommended article: Higher-order boundary-layer solution for unsteady motion of a circular cylinder
Recommended article: A numerical study of oscillating flow around a circular cylinder
Recommended article: Oscillatory flow regimes for a circular cylinder near a plane boundary
Recommended article: High order accurate solution of flow past a circular cylinder
description: scientific article; zbMATH DE number 3986866