Unsteady Navier-Stokes Simulation of transonic cascade flow using an unfactored implicit upwind relaxation scheme with inner iterations

M. Furukawa, T. Nakano, M. Inoue

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

An implicit upwind scheme has been developed for Navier-Stokes simulations of unsteady flows in transonic cascades. The two-dimensional, Reynoldsaveraged Navier-Stokes equations are discretized in space using a cell-centered finite volume formulation and in time using the Euler implicit method. The inviscid fluxes are evaluated using a highly accurate upwind scheme based on a TVD formulation with the Roe's approximate Riemann solver, and the viscous fluxes are determined in a central differencing manner. The algebraic turbulence model of Baldwin and Lomax is employed. To simplify grid generations, a zonal approach with a composite zonal grid system is implemented, in which periodic boundaries are treated as zonal boundaries. A new time-linearization of the inviscid fluxes evaluated by the Roe's approximate Riemann solver is presented in detail. No approximate factorization is introduced, and unfactored equations are solved by a pointwise relaxation method. To obtain time-accurate solutions, 30 inner iterations are performed at each time step. Numerical examples are presented for unsteady flows in a transonic turbine cascade where periodic unsteadiness is caused by the trailing edge vortex shedding.

本文言語英語
ホスト出版物のタイトルTurbomachinery
出版社American Society of Mechanical Engineers (ASME)
ISBN(電子版)9780791878989
DOI
出版ステータス出版済み - 1991
イベントASME 1991 International Gas Turbine and Aeroengine Congress and Exposition, GT 1991 - Orlando, 米国
継続期間: 6 3 19916 6 1991

出版物シリーズ

名前Proceedings of the ASME Turbo Expo
1

その他

その他ASME 1991 International Gas Turbine and Aeroengine Congress and Exposition, GT 1991
Country米国
CityOrlando
Period6/3/916/6/91

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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