A Zonal Approach for Solving the Compressible Navier-Stokes Equations Using a TVD Finite Volume Method

Masato Furukawa, Masao Yamasaki, Masahiro Inoue

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A new zonal approach for compressible viscous flow computations using a TVD finite volume method has been developed. The two-dimensional. Reynolds-averaged NavierStokes equations are discretized spatially by the finite volume formulation. The inviscid fluxes at the cell interfaces are evaluated through the MUSCLtype approach of an upwind scheme. In the present approach, the computational domain is divided into non-overlapping zones. The zonal boundaries are constructed from the cell interfaces, since the finite volume formulation with the cell-centered control volumes is used. Consequently communication from one zone to another is accomplished by the numerical fluxes through the zonal boundaries. The use of the finite volume formulation can ensure the unity of zonal boundaries and the complete conservation of numerical fluxes at the zonal boundaries, which results in a high-accuracy zonal approach. In order to demonstrate the versatility of the present zonal approach, numerical results are presented for viscous flows through a transonic turbine cascade.

Original languageEnglish
Pages (from-to)609-617
Number of pages9
JournalNihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume56
Issue number523
DOIs
Publication statusPublished - Jan 1 1990

Fingerprint

finite volume method
Finite volume method
Navier-Stokes equation
Navier Stokes equations
Viscous flow
Fluxes
viscous flow
formulations
supersonic turbines
Cascades (fluid mechanics)
cells
Conservation
Turbines
versatility
conservation
unity
cascades
communication
Communication

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering

Cite this

@article{5237ec27443a44f5aa6260b52f61b937,
title = "A Zonal Approach for Solving the Compressible Navier-Stokes Equations Using a TVD Finite Volume Method",
abstract = "A new zonal approach for compressible viscous flow computations using a TVD finite volume method has been developed. The two-dimensional. Reynolds-averaged NavierStokes equations are discretized spatially by the finite volume formulation. The inviscid fluxes at the cell interfaces are evaluated through the MUSCLtype approach of an upwind scheme. In the present approach, the computational domain is divided into non-overlapping zones. The zonal boundaries are constructed from the cell interfaces, since the finite volume formulation with the cell-centered control volumes is used. Consequently communication from one zone to another is accomplished by the numerical fluxes through the zonal boundaries. The use of the finite volume formulation can ensure the unity of zonal boundaries and the complete conservation of numerical fluxes at the zonal boundaries, which results in a high-accuracy zonal approach. In order to demonstrate the versatility of the present zonal approach, numerical results are presented for viscous flows through a transonic turbine cascade.",
author = "Masato Furukawa and Masao Yamasaki and Masahiro Inoue",
year = "1990",
month = "1",
day = "1",
doi = "10.1299/kikaib.56.609",
language = "English",
volume = "56",
pages = "609--617",
journal = "Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B",
issn = "0387-5016",
publisher = "The Japan Society of Mechanical Engineers",
number = "523",

}

TY - JOUR

T1 - A Zonal Approach for Solving the Compressible Navier-Stokes Equations Using a TVD Finite Volume Method

AU - Furukawa, Masato

AU - Yamasaki, Masao

AU - Inoue, Masahiro

PY - 1990/1/1

Y1 - 1990/1/1

N2 - A new zonal approach for compressible viscous flow computations using a TVD finite volume method has been developed. The two-dimensional. Reynolds-averaged NavierStokes equations are discretized spatially by the finite volume formulation. The inviscid fluxes at the cell interfaces are evaluated through the MUSCLtype approach of an upwind scheme. In the present approach, the computational domain is divided into non-overlapping zones. The zonal boundaries are constructed from the cell interfaces, since the finite volume formulation with the cell-centered control volumes is used. Consequently communication from one zone to another is accomplished by the numerical fluxes through the zonal boundaries. The use of the finite volume formulation can ensure the unity of zonal boundaries and the complete conservation of numerical fluxes at the zonal boundaries, which results in a high-accuracy zonal approach. In order to demonstrate the versatility of the present zonal approach, numerical results are presented for viscous flows through a transonic turbine cascade.

AB - A new zonal approach for compressible viscous flow computations using a TVD finite volume method has been developed. The two-dimensional. Reynolds-averaged NavierStokes equations are discretized spatially by the finite volume formulation. The inviscid fluxes at the cell interfaces are evaluated through the MUSCLtype approach of an upwind scheme. In the present approach, the computational domain is divided into non-overlapping zones. The zonal boundaries are constructed from the cell interfaces, since the finite volume formulation with the cell-centered control volumes is used. Consequently communication from one zone to another is accomplished by the numerical fluxes through the zonal boundaries. The use of the finite volume formulation can ensure the unity of zonal boundaries and the complete conservation of numerical fluxes at the zonal boundaries, which results in a high-accuracy zonal approach. In order to demonstrate the versatility of the present zonal approach, numerical results are presented for viscous flows through a transonic turbine cascade.

UR - http://www.scopus.com/inward/record.url?scp=0025398706&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025398706&partnerID=8YFLogxK

U2 - 10.1299/kikaib.56.609

DO - 10.1299/kikaib.56.609

M3 - Article

VL - 56

SP - 609

EP - 617

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

SN - 0387-5016

IS - 523

ER -