Numerical modeling of turbulent oscillatory boundary layers using two-equation turbulence models

 

Summary

The coastal bottom boundary layers undergo transition from laminar to turbulent or vice versa in response to the changing field conditions. Due to the importance of the transitional characteristics of bottom boundary layer in relation to the sediment movement, a lot of research has been done in the past. Although many experimental and analytical studies have been carried out, the idea of using turbulence models to tackle this phenomenon is relatively new. With the availability of excellent computing facilities at affordable costs, this option is gaining more popularity among the hydraulic and coastal engineers. The benefit of using a good turbulence model is that it produces detailed boundary layer properties to facilitate precise estimation of sediment movement under a variety of hydraulic conditions. For a turbulence model to be good, an essential requirement is its computational economy with reasonable accuracy. With a large number of available turbulence models, it is very difficult for practicing engineers to choose the most suitable one.

This study deals with the application of a low Reynolds number k-e model to a transitional oscillatory boundary layer. The term low Reynolds number implies that this model is applicable over the whole cross-stream dimension including the low Reynolds number region (viscous sublayer). A total of approximately 15 versions of k-e models have been tested against the available data for oscillatory boundary layers on smooth bottom. Three versions of k-w model have also been tested. Recently the work has been started to test some of the two-equation models against the data on rough bed. Moreover, the research is being carried out to propose a new version of two or one equation turbulence model capable of tackling the whole range of boundary layer problems.