Abstract
Numerical modelling of the circulation around islands and headlands is a challenging task with bottom friction and eddy viscosity controlling the formation of wakes and eddies. The eddy viscosity terms in such configurations can become predominant and an implicit solver is desirable to maintain reasonable computational time. An approach based on coupling the horizontal mixing length to the vertical one following Stansby (2003) is implemented into TELEMAC3D (Hervouet, 2007). This development is then tested against two different datasets of laboratory experiments, the one representing the flow around an island and another one the oscillatory tidal flow in the vicinity of a headland. Comparisons with conventional eddy viscosity models are presented.References
Hervouet (2007) Hydrodynamics of free surface flows modelling with the finite element method. Wiley. 360pp.
Lloyd and Stansby (1997) Shallow-water flow around model conical islands of small side slope. I: Surface-piercing. J. Hydraul. Engng ASCE 123, 1057-1068.
Lloyd, Stansby and Chen (1998) Flow, mixing and solute transport experiments in the UK Coastal Research Facility. University of Manchester Report.
Rodi, W. 1984 Turbulence models and their applications in hydraulics. IAHR Monograph, 2nd edn.
Stansby, (2003) A mixing-length model for shallow turbulent wakes. Journal of Fluid Mechanics, 495, pp 369-384
Stansby (1997) Semi-implicit finite-volume shallow-water flow and solute transport solver with k âˆ' ε turbulence model. Intl J. Numer. Meth. Fluids 25 285-313.