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Improved averaging method for turbulent flow simulation. Part I: Theoretical development and application to Burgers' transport equation
Author(s) -
Dakhoul Youssef M.,
Bedford Keith W.
Publication year - 1986
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650060202
Subject(s) - turbulence , burgers' equation , scalar (mathematics) , momentum (technical analysis) , flow (mathematics) , computational fluid dynamics , statistical physics , gaussian , mathematics , convection–diffusion equation , classical mechanics , mechanics , physics , mathematical analysis , partial differential equation , geometry , finance , quantum mechanics , economics
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.