Calculation of transonic internal flows using an efficient high resolution upwind scheme

GeCheng Zha, Zongjun Hu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


A new efficient upwind scheme based on the concept of convective upwind and split pressure (CUSP) is developed. The upwinding of the convective term and the pressure split are consistent with their characteristic directions. The scheme has low diffusion to accurately resolve wall boundary layers, and are able to capture crisp shock waves and exact contact discontinuities. The accuracy of the scheme is compared with other popularly used schemes including Roe scheme, Liou's AUSM + scheme, Van Leer scheme, and Van Leer-Hänel scheme. The scheme is tested for the ID Sod shock tube problem, 1D 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.

Original languageEnglish
Title of host publicationAIAA Paper
Number of pages14
StatePublished - Jul 1 2004
Event42nd AIAA Aerospace Sciences Meeting and Exhibit - Reno, NV, United States
Duration: Jan 5 2004Jan 8 2004


Other42nd AIAA Aerospace Sciences Meeting and Exhibit
Country/TerritoryUnited States
CityReno, NV

ASJC Scopus subject areas

  • Engineering(all)


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