Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Numerical Assessment of Stratification Influence in Simple Algebraic Turbulence Model
V. Uhlíř, T. Bodnár, M. Caggio
Abstract:
This paper presents rst few results obtained using a newly developed test code aimed at validation and cross-comparison of turbulence models to be applied in environmental flows. A simple code based on nite di erence discretization is constructed to solve steady flows of incompresible non-homogeneous (variable denstity) fluids. For the rst tests a simple algebraic turbulence model was implemented, containing stability function depending on the stratification via the gradient Richardson number. Numerical tests were performed in order to explore the capabilities of the new code and to get some insight into its behavior under di erent stratification. The two-dimensional simulations were performed using immersed boundary method for the flow over low smooth hill. The resulting flow fields are compared for selected Richarson numbers ranging from stable up to unstable strati cation conditions.
Keywords:
stratification, nite di erence, immersed boundary, algebraic turbulence model, artifcial compressibility method

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2022.022

In Proceedings Topical Problems of Fluid Mechanics 2022, Prague, 2022, Edited by David Šimurda and Tomáš Bodnár , pp. 159-167 ISBN 978-80-87012-77-2 (Print) ISSN 2336-5781 (Print)