Modeling shock unsteadiness in shock/turbulence interaction

Krishnendu Sinha, Krishnan Mahesh, Graham V. Candler

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

1 Scopus citations


The RANS (Reynolds averagedNavier-Stokes) equations can yield significant error when applied to practical flows involving shock waves. We use the interaction of homogeneous isotropic turbulence with a normal shock to suggest improvements in the k-ε model applied to shock/turbulence interaction. Mahesh et al.1 and Lee et al.2 present direct numerical simulation (DNS) and linear analysis of the flow of isotropic turbulence through a normal shock, where it is found that mean compression, shock unsteadiness, pressurevelocity correlation and upstream entropy fluctuations play an important role in the interaction. Current RANS models based on the eddy viscosity assumption yield very high amplification in the turbulent kinetic energy, k, across the shock. Suppressing the eddy viscosity in a shock improves the model predictions, but is inadequate to match theoretical results at highMach numbers. We modify the k-equation to include a term due to shock unsteadiness, and model it using linear analysis. The dissipation rate equation is similarly altered based on linear analysis results. These modifications improve the model predictions considerably, and the new model is found to match the linear theory and DNS data well.

Original languageEnglish (US)
Title of host publication41st Aerospace Sciences Meeting and Exhibit
StatePublished - 2003
Event41st Aerospace Sciences Meeting and Exhibit 2003 - Reno, NV, United States
Duration: Jan 6 2003Jan 9 2003

Publication series

Name41st Aerospace Sciences Meeting and Exhibit


Other41st Aerospace Sciences Meeting and Exhibit 2003
Country/TerritoryUnited States
CityReno, NV


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