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

Artificial Far-Field Pressure Boundary Conditions for Wall-Bounded Stratified Flows
T. Bodnár, Ph. Fraunié
Abstract:
This paper presents an alternative boundary conditions setup for the numerical simulations of stably stratifed flow. The focus of the tested computational setup is on the pressure boundary conditions on the arti cial boundaries of the computational domain. The simple three dimensional test case deals with the steady flow of an incompressible, variable density fluid over a low smooth model hill. The Boussinesq approximation model is solved by an in-house developed high-resolution numerical code, based on compact finite-difference discretization in space and Strong Stability Preserving Runge-Kutta method for (pseudo-) time stepping.
Keywords:
Boussinesq approximation, stable stratification, compact finite-difference, pressure boundary condition, do-nothing condition

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2018.002

In Proceedings Topical Problems of Fluid Mechanics 2018, Prague, 2018 Edited by David Šimurda and Tomáš Bodnár, pp. 7-14 ISBN 978-80-87012-65-9 (Print) ISSN 2336-5781 (Print)