Influence Of Advection Differencing Error Upon Large-Eddy Simulation Accuracy |
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| Authors: | John W Glendening Tracy Haack |
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| Institution: | (1) Marine Meteorology Division, Naval Research Laboratory, Monterey, California, USA |
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| Abstract: | Accurate prediction of turbulent features by alarge-eddy simulation (LES) model requires accuratenumerical evaluation of the nonlinear advective terms. In the presence of a mean wind, use of second-order orfourth-order finite differencing produces large lossesof turbulent energy at high wavenumbers, an inaccuracyconsistent with idealized numerical properties ofthese schemes. The discrete differencing inaccuraciesalso affect the small wavenumber ``large eddy'structure and the horizontally-averaged turbulentquantities. With a high accuracy pseudospectraltechnique, this energy loss does not occur andspectral behaviour corresponds to filtered Kolmogorovtheory predictions out to the de-aliasing cutoffwavenumber. The inaccuracy of the finite differenceschemes is greatly ameliorated through a Galileantransformation of the advective term. |
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| Keywords: | Finite differencing Galilean transformation Large-eddy Numerical error Pseudospectral |
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