IMPROVED AVERAGING METHOD FOR TURBULENT FLOW SIMULATION. PART I: THEORETICAL DEVELOPMENT AND APPLICATION TO BURGERS' TRANSPORT EQUATION

SUMMARY This is the first of two articles intended to develop, apply and verify a new method for averaging the momentum and mass transport equations for turbulence. The new method is based on Gaussian filtering in both the spatial and temporal domains. Application is made to the problem of momentum and scalar transport in a one-dimensional transient Burgers’ flow field. No actual calculations, with the averaged equations, are presented in this paper. However, an ‘exact’ solution of the one-dimensional flow situation is presented as an economical tool for verifying the performance of the different turbulence models. In the second paper calculations are performed with the averaged one-dimensional equations on coarse grids, and the results are compared to the exact or fully simulated data with a statistical verification procedure.

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