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

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.