O.Nesterov
Nonhydrostatic model of flow with a free surface in σ-double coordinate system and its application to modeling surface waves over banks

Applied hydromechanics, Vol. 15 (87) ¹ 4, (2013) p.56-70
A numerical model for free-surface non-hydrostatic flow computation in a double σ-coordinate system is presented. In contrast to a single σ-coordinate model, this model is suitable for flow studies in proximity to submerged obstacles with vertical or nearly vertical walls, such as steep drop-offs of coastal shelfs, reefs, navigation canals, oceanic trenches. An application of the developed model to the study of a solitary wave transformation over an artificial shelf in a lab flume has shown a fairly good agreement with the measurements. Also this model rather accurately reproduced vortices observed in the laboratory experiments at the edges of a submerged obstacle during the passage of a wave over it. In both cases a good agreement with the experimental data has been achieved by calibrating the bed roughness.
KEY WORDS:
non-hydrostatic free-surface flows, solitary wave, submerged obstacle, σ-double coordinate system, numerical modeling
TEXT LANGUAGE: Russian