# Numerical investigations of turbulent free surface flows using TOPUS scheme

Numerical investigations of turbulent free surface flows using TOPUS scheme In this paper, we present a numerical technique for the simulation of two-dimensional incompressible turbulent flows. In particular, the performance of the realizable Reynolds stress algebraic equation model and the high-order polynomial upwind scheme, TOPUS, is assessed for free surface incompressible turbulent flows. The Reynolds averaged Navier–Stokes equations and continuity equations are solved using the finite difference methodology on a staggered grid system. The numerical method is investigated by solving two free surface fluid flow problems, namely, a turbulent free jet impinging onto a flat surface and a broken dam. The method is then applied to simulate a sluice gate and a horizontal jet penetrating a quiescent fluid from an entry port beneath the free surface. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational and Applied Mathematics Springer Journals

# Numerical investigations of turbulent free surface flows using TOPUS scheme

, Volume 36 (3) – Nov 2, 2015
16 pages

/lp/springer_journal/numerical-investigations-of-turbulent-free-surface-flows-using-topus-5n5S29Y23m
Publisher
Springer International Publishing
Subject
Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science
ISSN
0101-8205
eISSN
1807-0302
D.O.I.
10.1007/s40314-015-0289-1
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we present a numerical technique for the simulation of two-dimensional incompressible turbulent flows. In particular, the performance of the realizable Reynolds stress algebraic equation model and the high-order polynomial upwind scheme, TOPUS, is assessed for free surface incompressible turbulent flows. The Reynolds averaged Navier–Stokes equations and continuity equations are solved using the finite difference methodology on a staggered grid system. The numerical method is investigated by solving two free surface fluid flow problems, namely, a turbulent free jet impinging onto a flat surface and a broken dam. The method is then applied to simulate a sluice gate and a horizontal jet penetrating a quiescent fluid from an entry port beneath the free surface.

### Journal

Computational and Applied MathematicsSpringer Journals

Published: Nov 2, 2015

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