In this article, the kinetic energy–preserving (KEP) scheme and, also, the way of applying this scheme to the k–ε turbulent model are introduced. This study aims to introduce a stable method in which a few artificial dissipation terms are added to the governing equations in a way that the intensity of the solution fluctuations is reduced and, therefore, the problem stability increases. In accord with the importance of the study of turbulent flows, the effects of the fluctuating velocity terms on the calculation of all fluxes in the governing equations are scrutinized as well. Also, the influence from applying the KEP scheme on the k–ε turbulent model is investigated. This article reveals that by using the KEP scheme and, afterwards, improving the discretization method of the velocity fluctuation terms in k–ε equations, the accuracy of the results obtained is enhanced without a need to add artificial dissipation terms (or by minimizing their values).

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