Modified Spectral Method of Anisotropic Turbulent Velocity Field Generation Preserving Incompressibility

A. V. Alexandrov, L. Dorodnicyn, A. Duben, D. Kolyukhin
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Abstract

. A method for the numerical generation of anisotropic turbulent velocity fields is presented. The proposed technique is based on the spectral method (SM) [1]. The traditional adaptation of isotropic field generated with spectral methods uses a Cholesky decomposition of Reynolds stresses tensor. After this adaptation the resulted field loses the property of incompressibility provided in the isotropic case. We have modified this method to use it in the anisotropic case and guarantee the incompressibility of generated turbulent field. Comparison of the results of IDDES simulation of canonical turbulent flow using inlet boundary conditions based on modified and non modified spectral methods are presented.
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保持不可压缩性的各向异性湍流速度场生成的修正谱法
. 提出了一种各向异性湍流速度场的数值生成方法。所提出的技术是基于谱法(SM)[1]。传统的谱法生成的各向同性场的自适应采用雷诺应力张量的Cholesky分解。经过这种调整,得到的场失去了各向同性情况下所提供的不可压缩性。我们对该方法进行了改进,使其适用于各向异性情况,并保证了所产生的湍流场的不可压缩性。比较了基于修正谱法和非修正谱法在进口边界条件下的典型湍流IDDES模拟结果。
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