URANS And LES Methodology For
Two-dimensional Natural Convection In A
Differentially Heated Cavity By BEM
Author(s)
L. ˇSkerget & J. Ravnik
Abstract
The paper considers the fundamental aspects of turbulence modelling for
incompressible Boussinesq fluid flow and corresponding numerical models based
on the boundary-domain integral equations. Two different solution methodologies
of turbulent flow circumstances are considered, e.g. the classical statistical
methodology known as Unsteady Reynolds-Averaged Navier–Stokes (URANS)
equations and deterministic Large-Eddy-Simulation (LES) formulation. The
velocity-vorticity formulation of the mean/filtered equations is applied, while
the averaged/filtered pressure field is determined by solving the Poisson velocity
equation. Chaotic natural convection in a differentially heated cavity of aspect ratio
4 with adiabatic horizontal walls is studied by both mentioned methodologies of
the unsteady two-dimensional governing equations.
Keywords: turbulence, large eddy simulation, unsteady RANS, boundary element
method.
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 or deterministic filtering procedure is
required in practice to predict the turbulence and simulate numerically the flow at
higher Reynolds or Rayleigh number values due to the enormous computational
effort needed. In the LES methodology the classical Smagorinsky model with
Van Driest damping closed to cavity walls is considered, while in the URANS
Keywords
turbulence, large eddy simulation, unsteady RANS, boundary element
method
Related Book
Other papers in this volume
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