The limitations of turbulence closure models in the context of Reynolds-averaged NavierStokes (RANS) simulations play a significant part in contributing to the uncertainty of Computational Fluid Dynamics (CFD). Perturbing the spectral representation of the Reynolds stress tensor within physical limits is common practice in several commercial and open-source CFD solvers, in order to obtain estimates for the epistemic uncertainties of RANS turbulence models. Recent research revealed, that there is a need for moderating the amount of perturbed Reynolds stress tensor tensor to be considered due to upcoming stability issues of the solver. In this paper we point out that the consequent common implementation can lead to unintended states of the resulting perturbed Reynolds stress tensor. The combination of eigenvector perturbation and moderation factor may actually result in moderated eigenvalues, which are not linearly dependent on the originally unperturbed and fully perturbed eigenvalues anymore. Hence, the computational implementation is no longer in accordance with the conceptual idea of the Eigenspace Perturbation Framework. We verify the implementation of the conceptual description with respect to its self-consistency. Adequately representing the basic concept results in formulating a computational implementation to improve self-consistency of the Reynolds stress tensor perturbation

翻译：湍流闭合模型在雷诺平均纳维-斯托克斯（RANS）模拟中的局限性是计算流体动力学（CFD）不确定性的重要来源之一。在物理限制内扰动雷诺应力张量的谱表示，是多个商业和开源CFD求解器中获取RANS湍流模型认知不确定性估计的常见做法。近期研究表明，由于求解器可能出现的稳定性问题，需要对受扰动的雷诺应力张量进行适度抑制。本文指出，现行通用实现可能导致最终受扰雷诺应力张量进入非预期状态。特征向量扰动与抑制因子的组合实际上可能产生不再线性依赖于原始未扰动和完全扰动特征值的受抑特征值。因此，计算实现已不再符合特征空间扰动框架的概念构想。我们从自洽性角度验证了概念描述的实现方式，通过恰当表征基本概念，提出了改进雷诺应力张量扰动自洽性的计算实现方案。