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

On the Boundary Conditions in the Numerical Simulation of Stably Stratified Fluids Flows
T. Bodnár, Ph. Fraunié
Abstract:
This paper presents the results of a numerical study of the stably stratified flow over a low smooth hill. The emphasize is on certain problems related to artificial boundary conditions used in the numerical simulations. The numerical results of three-dimensional simulations are shown for a range of Froude and Reynolds numbers in order to demonstrate the varying importance of these boundary issues in different flow regimes. The simulations were performed using the Boussinesq approximation model solved by a high-resolution numerical code. The in-house developed code is based on compact finite-difference discretization in space and Strong Stability Preserving Runge–Kutta time integration.
Keywords:
Boussinesq approximation, stable stratification, compact finite-difference

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.007

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 45-52 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)