Extending the k- ω turbulence model towards oceanic applications

By L. Umlauf, Hans Burchard, Kolumban Hutter. 2003

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Wave-Current Interaction in an Oceanic Circulation Model with a Vortex-Force Formalism: Application to the Surf Zone (2010, unknown): “Subsequently this approach has been further developed (Burchard,357 2001; Umlauf et al., 2003; Newberger and Allen, 2007b; Jones and Monismith, 2008).”
Second-order turbulence closure models for geophysical boundary layers. A review of recent work (2005, methodology): “A similar result has been obtained by Kantha and Clayson (2004) for the model of Mellor and Yamada (1982), and by Umlauf et al. (2003) for the k–e and the k–o models.”
A generic length-scale equation for geophysical turbulence models (2003, methodology): “Very recently, Umlauf et al. (2003) extended the k - v model 3 of Wilcox (1988), ‘W88’, to buoyancy affected (cid:143) ows and compared with the MY82 and R87 models in typical oceanic situations.”
On the over-production of turbulence beneath surface waves in Reynolds-averaged Navier–Stokes models (2018, methodology): “Figure 13(a),(b) clearly illustrates the adverse effects associated with the pre-breaking over-production of turbulence inherent within the standard Wilcox (1988) and Wilcox (2006) models (Cases 1 and 2, respectively). The negative peaks in the computed undertow with these models are consistently ne”