Dynamic k-equation model for large eddy simulation of compressible flows

Xiaochuan Chai, Krishnan Mahesh

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

3 Scopus citations


This paper presents a new dynamic one equation eddy viscosity model for LES of compressible flows. Based on the compressible version of dynamic Smagorinsky model (DSM), the transport equation for sub-grid scale (SGS) kinetic energy (KE) is introduced to predict SGS KE, instead of the commonly used Yoshizawa's model. The SGS KE transport equation for compressible flow is derived, and the unclosed terms in the compressible energy equation are modeled and dynamically closed using the Germano identity. The proposed model is then incorporated into the parallel finite volume Navier-Stokes solver on unstructured grids developed by Park & Mahesh (2007) and applied to decaying isotropic turbulence and normal shock/isotropic turbulence interaction.

Original languageEnglish (US)
Title of host publication40th AIAA Fluid Dynamics Conference
StatePublished - Dec 2 2010
Event40th AIAA Fluid Dynamics Conference - Chicago, IL, United States
Duration: Jun 28 2010Jul 1 2010

Publication series

Name40th AIAA Fluid Dynamics Conference


Other40th AIAA Fluid Dynamics Conference
CountryUnited States
CityChicago, IL


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