%0 Journal Article
%A McDonough, James M.
%A Hylin, E. C.
%D 1999
%I Begell House
%N 5-6
%P 539-567
%R 10.1615/InterJFluidMechRes.v26.i5-6.20
%T Chaotic Small-Scale Velocity Fields as Prospective Models for Unresolved Turbulence in an Additive Decomposition of the Navier-Stokes Equations
%U http://dl.begellhouse.com/journals/71cb29ca5b40f8f8,5e12a65502d5a022,2ce2f43d5d2df008.html
%V 26
%X A novel approach to turbulence modeling, based on unaveraged governing equations and direct modeling of small-scale fluctuating quantities via discrete nonlinear dynamical systems (chaotic algebraic maps), is presented and compared (structurally) with widely-used turbulence modeling and simulation methods. It is shown that this new approach, termed additive turbulent decomposition (ATD), is similar to large-eddy simulation in some respects, but yet is distinctly different in that ATD employs filtering of computed solutions (a straightforward signal-processing problem) rather than complicated filtering of governing equations. This obviates the need to model Reynolds stresses (they no longer occur in the equations); instead, subgrid-scale primitive variables, e.g., fluctuating velocity components, can be modeled directly, thus providing a much closer link to physical laboratory experiments. The requirements that must be imposed to construct such models are thoroughly discussed, and a specific realization of this modeling approach is derived in detail.
%8 1999-12-01