NANAOct 11, 2010

Analysis of a turbulence model related to that of k-epsilon for stationary and compressible flows

arXiv:1009.46491.2h-index: 7
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Provides theoretical guarantees for a turbulence model used in compressible flow simulations, benefiting researchers in fluid dynamics and applied mathematics.

The paper proves existence, positivity, and regularity results for a turbulence model related to the k-epsilon model in compressible fluid mechanics, establishing a rigorous mathematical foundation for the θ-ϕ model.

We shall study a turbulence model arising in compressible fluid mechanics. The model called $θ- ϕ$ we study is closely related to the k-epsilon model. We shall establish existence, positivity and regularity results in a very general framework.

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