AbstractIn general the κ–ε turbulence model is used for stationary turbulent mean flow. First we review some of the hypotheses for the derivation of the model. Then we study it from the point of view of the numerical analyst (positivity of κ and ε, boundedness, etc.). Finally we analyse an extension called MPP, specially derived for transient mean flow. The rest of the paper is devoted to a robust (stable) numerical implementation of these models and several tests for the flow behind a cyl
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