Table of Contents
ISRN Applied Mathematics
Volume 2011 (2011), Article ID 814045, 8 pages
http://dx.doi.org/10.5402/2011/814045
Research Article

Boundary Layer under Oscillatory Wave

Graduate School of Engineering, Tohoku University, 6-6-06 Aoba, Sendai 980-8579, Japan

Received 7 May 2011; Accepted 7 June 2011

Academic Editor: C. Zhang

Copyright Β© 2011 Mohammad Bagus Adityawan and Hitoshi Tanaka. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Turbulence due to wave motion and propagation is a very important aspect in sediment transport modeling. The boundary layer characteristic during the process will highly influence the sediment transport mechanism at the bottom. 1D model approach has been widely used to assess the turbulent boundary layer. However, the need for a more detailed model leads to the development of a more sophisticated models. This study presents a 2D turbulent model using π‘˜-πœ” equation to approach the turbulent boundary layer characteristic in oscillatory wave. The equations are solved using finite-difference center scheme. The model is applied to the case of oscillatory sinusoidal and skew wave. The velocity profile and bed stress were compared to those obtained from wind channel experimental data and 1D π‘˜-πœ” model from previous study.