A model of turbulent flow above sand waves in water of finite depth is described. Closure assumptions are based on an eddy viscosity proportional to the square root of the local value of turbulent kinetic energy and mixing length dependent upon distance from the lower boundary. Results are presented for some idealized cases to investigate the effects of wave slope, water depth, Froude number and wave shape. The implications of the model for the transport of sediment are discussed and the development of the wave investigated. It is found that the crest of the wave will become sharper for lower flow rates, as has been observed in the sea. Comparisons are made with recent measurements made over sand waves in the Columbia River.
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Richards et al. (1981) studied this question.
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