有限体積形TVD法を用いた圧縮性ナビエ・ストークス方程式の複合格子解法

概要

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A new zonal approach for compressible viscous flow computations using a TVD finite volume method has been developed. The two-dimensional, Reynolds-averaged Navier-Stokes equations are discretized spatially by the finite volume formulation. The inviscid fluxes at the cell interfaces are evaluated through the MUSCL-type 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.
一般社団法人日本機械学会の論文
1990-03-25