Solution Of Velocity-vorticity URANS By BEM
Author(s)
L. Škerget & J. Ravnik
Abstract
This paper describes the fundamental aspects of turbulence modelling for incompressible
fluid flow and corresponding numerical models based on the boundarydomain
integral equations. The velocity-vorticity formulation of the Reynolds
averaged Navier-Stokes (RANS) equations is used, while the averaged pressure
field is determined by solving the Poisson velocity equation. Several low-
Reynolds-number turbulent models, e.g. Launder-Sharma, are applied.
1 Introduction
The set of partial differential equations governing the motion of viscous fluid is
known as nonlinear Navier-Stokes equations. This equation system is generally
considered to be the fundamental description for all laminar as well as turbulent
flows, although some statistical averaging procedure is required in practice to
predict the turbulence and simulate numerically the flow at higher Reynolds
number values due to the enormous computational effort needed. Turbulence is
a highly complex transport phenomenon. A number of well established characteristics
of a turbulent motion can be summarized as: highly nonlinear transport
process, highly diffusive flow, three-dimensional flow, flow with multiple length
and time scales, and time dependent (stochastic) transport phenomenon with
identifiable statistical flow properties. In most cases of modelling and simulation
of real engineering turbulent flows we are not interested in detailed resolution
of all turbulent flow scales in favour of some type of averaged flow description.
Therefore, turbulence effects enter the flow description via a model that is typically
based on a combination of theory and experiment.
Various approaches exist for the turbulent flow prediction, i.e., full turbulence
simulation, large eddy simulation, Reynolds averaged models, etc [1]. However,
the extremely small time and length scales associated with turbulent fluid motion
Keywords
Related Book
Other papers in this volume
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