Abstract
A direct numerical simulation of three-dimensional isotropic turbulence of incompressible fluid was performed in order to examine an upstream-shifted interpolation (USI) method and a modified upstream-biased finite difference (UBD) method. These upstream techniques, which have been proposed by the present author, are based on an appropriate central finite difference method. In comparison with the 3rd- or 5th-order UBD method, the USI method agrees reasonably with a reliable central difference method and a spectral method. USI shows better consistency, especially for higher-order statistics of turbulence than the UBD method.
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