Direct numerical simulation on spherical couette flow based on a decoupling method with second-order accuracy in time and space

Weiming Sha; Koichi Nakabayashi

doi:10.1299/kikaib.64.656

Direct numerical simulation on spherical couette flow based on a decoupling method with second-order accuracy in time and space

Weiming Sha, Koichi Nakabayashi

Research output: Contribution to journal › Article › peer-review

Abstract

A finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. Further, the numerical method is used to simulate the spherical Couette flow between two concentric spheres with the inner one rotating. A comparison of the numerical results with the available experimental measurements was made. It is demonstrated that the numerical code is valid for solving three-dimensional, unsteady incompressible Navier-Stokes equations in spherical polar coordinates.

Original language	English
Pages (from-to)	656-661
Number of pages	6
Journal	Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume	64
Issue number	619
DOIs	https://doi.org/10.1299/kikaib.64.656
Publication status	Published - 1998
Externally published	Yes

Keywords

Computational fluid dynamics
Decoupling between velocity and pressure
Finite-difference method
Numerical analysis
Spherical couette flow
Spiral TG vortex

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering

Access to Document

10.1299/kikaib.64.656

Cite this

Direct numerical simulation on spherical couette flow based on a decoupling method with second-order accuracy in time and space. / Sha, Weiming; Nakabayashi, Koichi.

In: Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 64, No. 619, 1998, p. 656-661.

Research output: Contribution to journal › Article › peer-review

@article{bde6bbc2a88a404a97e058db2f2a4f4b,

title = "Direct numerical simulation on spherical couette flow based on a decoupling method with second-order accuracy in time and space",

abstract = "A finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. Further, the numerical method is used to simulate the spherical Couette flow between two concentric spheres with the inner one rotating. A comparison of the numerical results with the available experimental measurements was made. It is demonstrated that the numerical code is valid for solving three-dimensional, unsteady incompressible Navier-Stokes equations in spherical polar coordinates.",

keywords = "Computational fluid dynamics, Decoupling between velocity and pressure, Finite-difference method, Numerical analysis, Spherical couette flow, Spiral TG vortex",

author = "Weiming Sha and Koichi Nakabayashi",

year = "1998",

doi = "10.1299/kikaib.64.656",

language = "English",

volume = "64",

pages = "656--661",

journal = "Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B",

issn = "0387-5016",

publisher = "Japan Society of Mechanical Engineers",

number = "619",

}

TY - JOUR

T1 - Direct numerical simulation on spherical couette flow based on a decoupling method with second-order accuracy in time and space

AU - Sha, Weiming

AU - Nakabayashi, Koichi

PY - 1998

Y1 - 1998

N2 - A finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. Further, the numerical method is used to simulate the spherical Couette flow between two concentric spheres with the inner one rotating. A comparison of the numerical results with the available experimental measurements was made. It is demonstrated that the numerical code is valid for solving three-dimensional, unsteady incompressible Navier-Stokes equations in spherical polar coordinates.

AB - A finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented. A new algorithm, which is second-order accurate in time and space, is considered, and decoupling between the velocity and the pressure is achieved by this algorithm. Further, the numerical method is used to simulate the spherical Couette flow between two concentric spheres with the inner one rotating. A comparison of the numerical results with the available experimental measurements was made. It is demonstrated that the numerical code is valid for solving three-dimensional, unsteady incompressible Navier-Stokes equations in spherical polar coordinates.

KW - Computational fluid dynamics

KW - Decoupling between velocity and pressure

KW - Finite-difference method

KW - Numerical analysis

KW - Spherical couette flow

KW - Spiral TG vortex

UR - http://www.scopus.com/inward/record.url?scp=77950030515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950030515&partnerID=8YFLogxK

U2 - 10.1299/kikaib.64.656

DO - 10.1299/kikaib.64.656

M3 - Article

AN - SCOPUS:77950030515

SN - 0387-5016

VL - 64

SP - 656

EP - 661

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

IS - 619

ER -

Direct numerical simulation on spherical couette flow based on a decoupling method with second-order accuracy in time and space

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this