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The large eddy simulation capability of Reynolds-averaged Navier-Stokes equations: Analytical results

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A highly attractive idea to overcome shortcomings of both Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES) equations is the implementation of LES capability in RANS models. However, this approach… Click to show full abstract

A highly attractive idea to overcome shortcomings of both Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES) equations is the implementation of LES capability in RANS models. However, this approach faces questions regarding (i) the measurement of resolved motion and equivalence of various equations having the same resolution, (ii) the continuous variation of resolved and modeled motion under grid variations, and (iii) the explanation of how resolved motion and scaling variables in LES depend on the grid. Corresponding analytical results (addressing the resolution measurement, equivalence of equations, and resolution control) are reported, and grid effects (including the scaling of computational cost) are discussed.A highly attractive idea to overcome shortcomings of both Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES) equations is the implementation of LES capability in RANS models. However, this approach faces questions regarding (i) the measurement of resolved motion and equivalence of various equations having the same resolution, (ii) the continuous variation of resolved and modeled motion under grid variations, and (iii) the explanation of how resolved motion and scaling variables in LES depend on the grid. Corresponding analytical results (addressing the resolution measurement, equivalence of equations, and resolution control) are reported, and grid effects (including the scaling of computational cost) are discussed.

Keywords: large eddy; motion; reynolds averaged; eddy simulation; averaged navier; navier stokes

Journal Title: Physics of Fluids
Year Published: 2019

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