Abstract
The generation of periodic synthetic turbulence through superposition of Fourier modes is investigated. The introduction of directional biases and mismatches in the second-order statistics associated with the enforcement of periodicity is analyzed and quantified. Two strategies for mitigation of these disparities are proposed. The suggested approaches are subsequently validated and compared with the original methodologies using direct numerical simulations. The proposed strategies are capable of neutralizing the disparities in the second-order statistics at the injection region. The development from synthetic to realistic turbulence is evaluated through the resulting flow statistics and spectral analysis. It is found that higher-order statistics and other indicators converge to the expected results with sufficient length.
Highlights
Scale resolving simulations are steadily gaining relevance due to the increase in computational capabilities
The present paper aims to advance in this direction by studying the generation and the development of synthetic turbulence for researching the statistics of flows in extreme conditions
The original method and these enhanced versions were simulated in spatial decaying conditions to investigate and compare the development of artificial turbulence
Summary
Scale resolving simulations are steadily gaining relevance due to the increase in computational capabilities. Further refinement is possible, basic parameters such as the turbulent kinetic energy and the dissipation rate suffice to apply a synthetic turbulence algorithm based on Fourier modes This feature is advantageous when addressing flows in extreme conditions that prevent their complete observation, and there is a lack of available data. The original Kraichnan’s idea heralded a series of works, which successively refined the initial concept.[9,10,11] The upgrade introduced by Shur et al.[12] is interesting for addressing scenarios where the standard assumptions of turbulent flows can be challenged This approach has the capability of representing anisotropic vortical structures in a realistic way, which is a common feature in turbulent boundary layers and reacting flows. The suggested schemes are validated through the simulation of spatially decaying turbulence and compared with the original approach
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