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Low Reynolds number k-ε modeling by using the direct numerical simulation (DNS) data
نموذج k-ε لأعداد رينولد منخفضة باستخدام بيانات المحاكاة المباشرة

المؤلف: Ahmed Abdul-Hussein Ouda
ﺎﻠﻤﺠﻟﺓ: JOURNAL OF THI-QAR SCIENCE مجلة علوم ذي قار ISSN: 19918690 السنة: 2008 المجلد: 1 الاصدار: 1 الصفحات: 48-65
الجامعة: Thi-Qar University جامعة ذي قار - جامعة ذي قار

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الخلاصة

The constant Cµ and the near-wall damping function fµ in the eddy-viscosity relation of the k-ε model are evaluated from direct numerical simulation (DNS) data for developed channel and boundary-layer flow, each at two Reynolds numbers. Various existing fµ model functions are compared with the DNS data, and a new function is fitted to the high-Reynolds-number channel flow data. The ε-budget is computed for the fully developed channel flow. The relative magnitude of the terms in the ε-equation is analyzed with the aid of scaling arguments, and the parameter governing this magnitude is established. Models for the sum of all source and sink terms in the ε-¬ equation are tested against the DNS data, and an improved model is proposed.

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