Solenoidal spektral yöntem kullanılarak boru akışının doğrudan sayısal benzetimi.

---

Tezin Türü: Doktora

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Mühendislik Fakültesi, Mühendislik Bilimleri Bölümü, Türkiye

Tezin Onay Tarihi: 2012

Tezin Dili: İngilizce

Öğrenci: Ozan Tuğluk

Danışman: IŞIK HAKAN TARMAN

Özet:

In this study, which is numerical in nature, direct numerical simulation (DNS) of the pipe ow is performed. For the DNS a solenoidal spectral method is employed, this involves the expansion of the velocity using divergence free functions which also satisfy the prescribed boundary conditions, and a subsequent projection of the N-S equations onto the corresponding dual space. The solenoidal functions are formulated in Legendre polynomial space, which results in more favorable forms for the inner product integrals arising from the Petrov-Galerkin scheme employed. The developed numerical scheme is also used to investigate the e ects of spanwise oscillations and phase randomization on turbulence statistics, and drag, in turbulent incompressible pipe ow for low to moderate Reynolds numbers (i.e. Re 5000) ).