Direct and Implicit Large-Eddy Simulation of the Taylor-Green Vortex Flow (original) (raw)

2012

Abstract

To demonstrate the potential advantages of highorder spatial and temporal numerical methods, direct numerical and implicit large-eddy simulation of the Taylor-Green vortex flow is computed using a variable-order finite-difference code on multi-block structured meshes. The spatial operators satisfy the summation-by-parts property, with block interfaces and boundary conditions enforced with simultaneousapproximation-terms. The solution is integrated in time with explicit-first-stage, singly-diagonallyimplicit Runge-Kutta methods. An investigation into artificial dissipation and spatial filtering shows filtering is much more computationally efficient at moderate Courrant numbers, however, it does eventually place a limit on the time step. Grid convergence studies show excellent performance of higher resolution simulations, accurately capturing the decay of kinetic energy with a decay proportional to t−2 after transition to turbulence. The simulations also produce very good energy spect...

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