  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
