A zonal approach for Navier-stokes computations of compressible cascade flow fields using a tvd finite volume method

Masato Furukawa, M. Yamasaki, M. Inoue

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new zonal approach for computation of compressible viscous flows in cascades has been developed. The two-dimensional, Reynolds-Averaged Navier-Stokes equations are discretized spatially by a cell-centered finite volume formulation. In order to make the present approach robust, the inviscid fluxes at cell interfaces are evaluated using a highly accurate TVD scheme based on the MUSCL-Type approach with the Roe's approximate Riemann solver. The viscous fluxes are determined in a central differencing manner. To simplify the grid generation, a composite zonal grid system is adopted, in which the computational domain is divided into non-overlapping zones, and structured grids are generated independently in each zone. The zonal boundary between two zones is uniquely defined by cell interfaces of one zone, which ensures the uniqueness of the zonal boundary. The communication from one zone to the other is accomplished by numerical fluxes across the zonal boundary. It should be noted that the complete conservation of the numerical fluxes across the zonal boundary can be satisfied by directly evaluating the numerical fluxes using the finite volume method and by ensuring the uniqueness of the zonal boundary. In order to demonstrate the versatility of the present zonal approach, numerical examples are presented for viscous flows through a transonic turbine cascade.

Original languageEnglish
Title of host publicationTurbomachinery
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791879047
DOIs
Publication statusPublished - Jan 1 1990
EventASME 1990 International Gas Turbine and Aeroengine Congress and Exposition, GT 1990 - Brussels, Belgium
Duration: Jun 11 1990Jun 14 1990

Publication series

NameProceedings of the ASME Turbo Expo
Volume1

Other

OtherASME 1990 International Gas Turbine and Aeroengine Congress and Exposition, GT 1990
CountryBelgium
CityBrussels
Period6/11/906/14/90

Fingerprint

Finite volume method
Flow fields
Fluxes
Viscous flow
Cascades (fluid mechanics)
Navier Stokes equations
Conservation
Turbines
Communication
Composite materials

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Furukawa, M., Yamasaki, M., & Inoue, M. (1990). A zonal approach for Navier-stokes computations of compressible cascade flow fields using a tvd finite volume method. In Turbomachinery (Proceedings of the ASME Turbo Expo; Vol. 1). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/90-GT-260

A zonal approach for Navier-stokes computations of compressible cascade flow fields using a tvd finite volume method. / Furukawa, Masato; Yamasaki, M.; Inoue, M.

Turbomachinery. American Society of Mechanical Engineers (ASME), 1990. (Proceedings of the ASME Turbo Expo; Vol. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Furukawa, M, Yamasaki, M & Inoue, M 1990, A zonal approach for Navier-stokes computations of compressible cascade flow fields using a tvd finite volume method. in Turbomachinery. Proceedings of the ASME Turbo Expo, vol. 1, American Society of Mechanical Engineers (ASME), ASME 1990 International Gas Turbine and Aeroengine Congress and Exposition, GT 1990, Brussels, Belgium, 6/11/90. https://doi.org/10.1115/90-GT-260
Furukawa M, Yamasaki M, Inoue M. A zonal approach for Navier-stokes computations of compressible cascade flow fields using a tvd finite volume method. In Turbomachinery. American Society of Mechanical Engineers (ASME). 1990. (Proceedings of the ASME Turbo Expo). https://doi.org/10.1115/90-GT-260
Furukawa, Masato ; Yamasaki, M. ; Inoue, M. / A zonal approach for Navier-stokes computations of compressible cascade flow fields using a tvd finite volume method. Turbomachinery. American Society of Mechanical Engineers (ASME), 1990. (Proceedings of the ASME Turbo Expo).
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