Turbulence Modeling With The
Boundary Element Method
Author(s)
J. Lupše, L. Škerget & J. Ravnik
Abstract
In the present article we were testing our flow solver for turbulent channel
flow. Velocity-vorticity formulation of Navier-Stokes equations is applied, thus
governing equations are given for the kinematic and kinetic aspects of flow instead
of mass and momentum equations. The solution algorithm first solves the kinematics
equation for unknown boundary vorticity values using the single domain
boundary element numerical method. The next step of the solution algorithm is
calculation of the domain velocity field, which is also achieved by solving the
kinematics equation. In this and later cases we use the sub-domain boundary
element method. After the velocity field is known, we calculate the turbulent
kinetic energy and turbulent dissipation fields to obtain the turbulent viscosity.
Finally, the vorticity field redistribution is calculated via the kinetics equation.
For laminar solutions it was shown that the use of the boundary domain integral
method accuracy of solutions for benchmark test cases is very high on coarse
meshes. However, since this method is still limited, with high CPU and memory
requirements, parallelization of the algorithm is a must for calculating turbulent
flows. This was achieved with the use of a MPI (message passing interface)
standard.
1 Introduction
In this paper we present the application of the boundary element method for
solving planar turbulent flow problems with low-Reynolds-number turbulence
models. Since viscosity now includes an additional, modeled part, governing
equations have to be written in extended forms, which have to include this
nonlinear behavior. The compressibility effect was neglected for simplifying an
already highly nonlinear set of equations. For the same reason a zero gravity
Keywords
Related Book
Other papers in this volume
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