On the implementation of the \(\kappa -\varepsilon \) turbulence model in incompressible flow solvers based on a finite element discretisation
type: Item
instance of: scholarly article
title: On the implementation of the \(\kappa -\varepsilon \) turbulence model in incompressible flow solvers based on a finite element discretisation
zbMATH Open document ID: 1185.76706
DOI: 10.1504/IJCSM.2007.016531
author: Dmitri Kuzmin
author: S. Turek
author: O. Mierka
published in: International Journal of Computing Science and Mathematics
publication date: 2010-05-05T00:00:00Z
review text: Summary: A finite element implementation of the standard \(\kappa -\varepsilon \) turbulence model, including Chien's Low-Reynolds number modification is presented. Special emphasis is laid on the numerical treatment of wall boundary conditions. In particular, logarithmic wall functions are used to derive Neumann boundary conditions for the standard \(\kappa -\varepsilon \) model. The resulting solutions are superior to those obtained using wall functions implemented as Dirichlet boundary conditions and comparable to simulation results produced by a Low-Reynolds number \(\kappa -\varepsilon \) model. Two representative benchmark problems (channel flow and backward facing step) are used to compare the performance of different algorithms in 3D and to investigate the influence of the near-wall treatment.
Mathematics Subject Classification ID: 76F40
zbMATH DE Number: 5703876
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: \(\kappa -\varepsilon \)
zbMATH Keywords: turbulence models
zbMATH Keywords: wall boundary conditions
zbMATH Keywords: incompressible flow
zbMATH Keywords: finite element discretisation
zbMATH Keywords: near-wall treatment
zbMATH Keywords: channel flow
zbMATH Keywords: backward facing step
MaRDI profile type: Publication
full work available at URL: ijcsm.2007.016531
OpenAlex ID: W2022275594
description: scientific article; zbMATH DE number 5703876