"Sensitivities in Large Eddy Simulation and Improved Estimates of Turbulent Flow Functionals"
M. Anitescu and W. J. Layton
SIAM J. Sci. Comput., vol. 29, no. 4, Society for Industrial and Applied Mathematics, , pp. 1650-1667. Also Preprint ANL/MCS-P1251-0505
Preprint Version: [pdf]
We consider a prototypical problem: simulate velocity and pressure in a turbulent flow using large eddy simulation (LES) and then use the results to estimate the force the underlying turbulent flow exerts on an immersed body. For eddy viscosity-type LES models we develop the appropriate continuous sensitivity equation and show how it can improve the functional estimate by using the sensitivity with respect to the user-selected length scale to incorporate the effects of the underlying unresolved small-scale fluctuations on the functionals sought.