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 Simulation of the Wake Structure Behind Three-Dimensional Hill under Stable Stratification
Bodnár T., Fraunié P.
Abstract:
This paper is aimed to demonstrate the increase in complexity of wall bounded flow around a three-dimensional hill while the stable stratification is introduced. The high-resolution numerical simulations allow for detailed visualizations of various flow features that are characteristic for this type of flows and are virtually absent in the classical neutral case. The flow over a single 3D hill was chosen as a typical scenario found in atmospheric boundary layer flows, being of crucial importance in predicting many important phenomena including e.g. local precipitations or pollution dispersion. The governing equations of fluid motion are based on the Boussinesq approximation of momentum equations, supplemented by the divergence-free incompressibility constraint. These equations are solved numerically using high-order com-pact finite-difference scheme on non-orthogonal, wall-fitted grid. Selected numerical results are discussed in detail to demonstrate some of the most notable flow features.
Keywords:
Boussinesq approximation, stable stratification, compact finite-difference

Fulltext: PDF DOI: http://dx.doi.org/10.14311/TPFM.2016.003

In Proceedings Topical Problems of Fluid Mechanics 2016, Prague, 2016 Edited by David Šimurda and Tomáš Bodnár, pp. 17-22 ISBN 978-80-87012-58-1 (Print) ISSN 2336-5781 (Print)