Incompressible turbulent flow simulation using the \(\kappa -\varepsilon \) model and upwind schemes
type: Item
instance of: scholarly article
title: Incompressible turbulent flow simulation using the \(\kappa -\varepsilon \) model and upwind schemes
zbMATH Open document ID: 1360.76104
DOI: 10.1155/2007/12741
author: B. E. Eshmatov
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
review text: Summary: In the computation of turbulent flows via turbulence modeling, the treatment of the convective terms is a key issue. In the present work, we present a numerical technique for simulating two-dimensional incompressible turbulent flows. In particular, the performance of the high Reynolds \(\kappa -\varepsilon \) model and a new high-order upwind scheme (adaptative QUICKEST by Kaibara et al. (2005)) is assessed for 2D confined and free-surface incompressible turbulent flows. The model equations are solved with the fractional-step projection method in primitive variables. Solutions are obtained by using an adaptation of the front tracking GENSMAC (Tomé and McKee (1994)) methodology for calculating fluid flows at high Reynolds numbers. The calculations are performed by using the 2D version of the Freeflow simulation system (Castello et al. (2000)). A specific way of implementing wall functions is also tested and assessed. The numerical procedure is tested by solving three fluid flow problems, namely, turbulent flow over a backward-facing step, turbulent boundary layer over a flat plate under zero-pressure gradients, and a turbulent free jet impinging onto a flat surface. The numerical method is then applied to solve the flow of a horizontal jet penetrating a quiescent fluid from an entry port beneath the free surface.
Mathematics Subject Classification ID: 76F60
zbMATH DE Number: 5371810
describes a project that uses: GENSMAC
describes a project that uses: FREEFLOW
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2007/12741
OpenAlex ID: W2083821858
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description: scientific article; zbMATH DE number 5371810