Application of Realizability and Shock Unsteadiness to k ε Simulations of Under-Expanded Axisymmetric Supersonic Free Jets

An explicit cell-centered finite volume solver coupled to a k turbulence model cor-rected for structural compressibility fails to satisfactorily predict the behavior of under-expanded supersonic jets exhausting into still air, because the model does not properlyaccount for the turbulence/shock wave interaction. Two approaches are examined: im-posing a realizability constraint and taking into account shock unsteadiness effects. Al-though both corrections yield better agreement with experimental data of under-expandedjets, the realizability constraint yields better results than the shock unsteadinesscorrection.

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