Calculation of Transonic Internal Flows Using an Efficient High-Resolution Upwind Scheme

A new efficient upwind scheme based on the concept of convective upwind and split pressure is developed. The upwinding of the convective term and the pressure split are consistent with their characteristic directions. The scheme has low diffusion to resolve accurately wall boundary layers and is abl...

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Bibliographic Details
Published in:AIAA journal 2004-02, Vol.42 (2), p.205-214
Main Authors: Zha, Ge-Cheng, Hu, Zongjun
Format: Article
Language:English
Subjects:
Aerodynamics
Air flow
Boundary layer
Compressible flows
shock and detonation phenomena
Computational methods in fluid dynamics
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Transonic flows
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Summary:A new efficient upwind scheme based on the concept of convective upwind and split pressure is developed. The upwinding of the convective term and the pressure split are consistent with their characteristic directions. The scheme has low diffusion to resolve accurately wall boundary layers and is able to capture crisp shock waves and exact contact discontinuities. The accuracy of the scheme is compared with other popularly used schemes including the Roe scheme, the Lion's latest advection upstream splitting method scheme (AUSM+), the Van Leer scheme, and the Van Leer-Hanel scheme. The new scheme is tested for the one-dimensional Sod shock tube problem, one-dimensional slowly moving contact surface, supersonic flat plate laminar boundary layer, a transonic nozzle with oblique shock waves and reflections that do not align with the mesh lines, and a transonic inlet diffuser with shock wave/turbulent boundary-layer interaction. The test cases show that the new scheme is accurate, robust, and efficient. [PUBLICATION ABSTRACT]
ISSN:0001-1452
1533-385X
DOI:10.2514/1.3113