Abstract
In a slender water body with a large aspect ratio, the angle of wind waves relative to the direction normal to the shoreline may exceed 45°, resulting in the emergence of cuspate forelands and the segmentation of a lake, because the fetch distance along the principal axis becomes large. The BG model was used to predict the segmentation of a rectangular water body by wind waves when the probability of occurrence of wind direction is given by a circular or elliptic distribution. The changes in wave field and sand transport flux over time were calculated to investigate the wave-sheltering effect of the cuspate forelands. A rectangular lake segmented into circular or elliptic lake, when the probability of occurrence of wind direction is given by a circular or elliptic distribution, respectively.References
Ashton, A., A.B. Murray, and O. Arnault. 2001. Formation of coastline features by large-scale instabilities induced by high-angle waves, Nature, Vol. 414, 296-300.
Ashton, A., and A.B. Murray. 2006. High-angle wave instability and emergent shoreline shapes: 1. Modeling of sand waves, flying spits, and capes, J. Geophys. Res., 111, F04011, doi: 10.1029/2005JF000422.
Ashton, A., A.B. Murray, R. Littlewood, D.A. Lewis, and P. Hong. 2009. Fetch limited self- organization of elongate water bodies, Geology, 37, 187-190.
Goda, Y. 2003. Revisiting Wilson's formulas for simplified wind-wave prediction, J. Waterway, Port, Coastal and Ocean Eng., 129(2), 93-95.
Seppälä, M. 2004. Wind as a Geomorphic Agent in Cold Climates, Cambridge University Press, p. 358.
Serizawa, M., T. Uda, T. San-nami, and K. Furuike. 2006. Three-dimensional model for predicting beach changes based on Bagnold's concept, Proceedings of 30th International Conference on
Coastal Engineering, ASCE, 3155-3167.
Uda, T., M. Serizawa, and S. Miyahara. 2012. Numerical simulation of three-dimensional segmentation
of elongated water body using BG model, Proceedings of 33rd International Conference on
Coastal Engineering, ASCE, sediment.65, 1-11.
Uda, T., M. Serizawa, S. Miyahara, and T. San-nami. 2013. Prediction of segmentation and mergence
of shallow water bodies by wind waves using BG model, Proc. Coastal Dynamics 2013, Paper No.
, 1729-1740.
Uda, T., M. Serizawa, T. San-nami, and S. Miyahara. 2014. Prediction of formation of oriented lakes,
Proceedings of 34th International Conference on Coastal Engineering, ASCE, 1-12.
Wilson, B. W. 1965. Numerical prediction of ocean waves in the North Atlantic for December, 1959,
Deut. Hydrogr. Zeit, Jahrgang 18, Heft 3, 114-130.
Zenkovich, V. P. 1967. Processes of Coastal Development, 751p., Interscience Publishers, New York.