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 language | English |
|---|---|
| Pages (from-to) | 609-617 |
| Number of pages | 9 |
| Journal | Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |
| Volume | 56 |
| Issue number | 523 |
| DOIs | |
| Publication status | Published - Jan 1 1990 |
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All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
Cite this
A Zonal Approach for Solving the Compressible Navier-Stokes Equations Using a TVD Finite Volume Method. / Furukawa, Masato; Yamasaki, Masao; Inoue, Masahiro.
In: Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 56, No. 523, 01.01.1990, p. 609-617.Research output: Contribution to journal › Article
}
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.
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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 -