The wave-induced boundary layer under long internal waves |
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| Authors: | Yuncheng Lin Larry G Redekopp |
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| Institution: | (1) Dept. of Aerospace & Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA |
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| Abstract: | The boundary layer formed under the footprint of an internal solitary wave is studied by numerical simulation for waves of
depression in a two-layer model of the density stratification. The inviscid outer flow, in the perspective of boundary-layer
theory, is based on an exact solution for the long wave-phase speed, yielding a family of fully nonlinear solitary wave solutions
of the extended Korteweg–de Vries equation. The wave-induced boundary layer corresponding to this outer flow is then studied
by means of simulation employing the Reynolds-averaged Navier–Stokes (RANS) formulation coupled with a turbulence closure
model validated for wall-bounded flows. Boundary-layer characteristics are computed for an extensive range of environmental
conditions and wave amplitudes. Boundary-layer transition, identified by monitoring the eddy viscosity, is correlated in terms
of a boundary-layer Reynolds number. The frictional drag is evaluated for laminar, transitional, and turbulent cases, and
correlations are presented for the friction coefficient plus relevant measures of the boundary-layer thickness. |
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