Abstract

The ‘poor man's Navier–Stokes’ subgrid-scale model for use in large-eddy simulation is discussed with focus on its relationship to physics via its derivation from the Navier–Stokes equations. This discrete dynamical system is computationally inexpensive permitting thorough numerical study before its implementation as a subgrid-scale model. Previously we have demonstrated ranges of independent parameter values suitable for use in large-eddy simulations while maintaining a strict coupling of the equations through equating selected strain-rate tensor components. Here we will remove this restriction and again investigate the suitable ranges of bifurcation parameters through their two-dimensional bifurcation diagrams. Additionally we will comment on the possible impacts of our findings with regard to implementation of the subgrid-scale model in large-eddy simulations.

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