Implementation And Assessment Of An Algebraic Energy Flux Model For High Speed Gaseous Shear Flows


In current high speed Reynolds-averaged Navier-Stokes (RANS) simulations, the turbulent heat flux is often calculated directly from the modeled eddy viscosity, be it from 0-, 1-, or 2-equation models. An Algebraic Energy Flux (AEF) model, based on a truncation of the energy flux transport equation, provides an alternative with the potential for predicting all three components of the turbulent heat flux and accounting for non-equilibrium (e.g., mechanical) effects in shear layers. The objectives of the present study are to formalize the AEF model's derivation and implementation into standard CFD codes and to provide further assessment with new high Mach number direct numerical simulation (DNS) data. The latter efforts demonstrated that the AEF approach consistently outperforms the traditional RANS technique over a range of pressure gradients, including for the first time favorable pressure gradients. However, there is space to improve the performance in the adverse pressure gradient and in the near wall region. The detail provided for each step of the derivation, especially in regard to the assumptions taken, provides a strong foundation for such future endeavors.


Mechanical and Aerospace Engineering


U.S. Department of Defense, Grant N00014-18-1-3020

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Article - Conference proceedings

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Publication Date

01 Jan 2022