On the accurate prediction of tip vortex: Effect of numerical schemes

Xinrong Su, Satoru Yamamoto, Xin Yuan

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

22 Citations (Scopus)


This work is conducted towards the accurate prediction of compressor tip vortex. Accurate computation of highly vortical flow is affected by many parameters, such as numerical scheme and turbulence model. In this work the effect of numerical scheme is studied using mesh refinement study and comparison of numerical results from central scheme and a newly developed high order upwind scheme. Behaviors of numerical methods in the tip vortex region are also theoretically and numerically analyzed. It is found the computed tip vortex is significantly affected by mesh resolution and numerical dissipation. Currently widely numerical strategy, i.e., mesh with moderate resolution and low order scheme would yield quite inaccurate result. Predicted tip vortex is always dissipated earlier and this highlights the advantage of high order scheme in predicting detailed flow features. Besides coarser mesh and low order method, analysis of numerical methods reveals a new finding, in that the designed order of accuracy is not guaranteed in the tip vortex region. For central scheme pressure based shock sensor is unnecessarily activated and excessive artificial dissipation is added. For high order upwind scheme it tends to use low order reconstruction and new method considering flow physics shows its improved vortex prediction capability. Conclusions from this work can be used in future numerical studies about tip vortex to improve the numerical accuracy.

Original languageEnglish
Title of host publicationASME Turbo Expo 2013
Subtitle of host publicationTurbine Technical Conference and Exposition, GT 2013
Publication statusPublished - 2013 Dec 17
EventASME Turbo Expo 2013: Turbine Technical Conference and Exposition, GT 2013 - San Antonio, Tx, United States
Duration: 2013 Jun 32013 Jun 7

Publication series

NameProceedings of the ASME Turbo Expo
Volume6 B


OtherASME Turbo Expo 2013: Turbine Technical Conference and Exposition, GT 2013
Country/TerritoryUnited States
CitySan Antonio, Tx

ASJC Scopus subject areas

  • Engineering(all)


Dive into the research topics of 'On the accurate prediction of tip vortex: Effect of numerical schemes'. Together they form a unique fingerprint.

Cite this