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 journalArticlepeer-review

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 - 1990

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering

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