Numerical study of flow generated in a lake and experiment using GPS

Abstract

A finite element method is applied to a system of partial differential equations governing the dynamics of flow in order to study currents generated in a lake. Experiments using a float equipped with a GPS unit calibrate and validate the numerical results. References S. Sumida, Y. Liu, Y. Li, K. Yamamoto, M. Ceric, M. Watanabe, Numerical study of currents generated in a lake and verification by experiment, ANZIAM J. , 49 (emac2007) pp. C541--C558, 2008. http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/issue/view/13 Yoshiaki Iwasa, Engineering Limnology , Sankaido Publishing Co., Ltd., 1990 (In Japanese) Masaji Watanabe, A Numerical Simulation of Lake Flow and a GPS-Float Experiment, The Second International Symposium on Water Environment, Okayama University, September 13--14, 1999, Journal of the Faculty of Environmental Science and Technology, Okayama University (Special Edition), pp. 111--116. O. C. Zienkiewicz and R. L. Taylor, The finite Element Method , Volume 3, Fluid Dynamics, Fifth Edition, Butterworth--Heinemann, Oxford, 2000 (First published in 1967 by McGraw--Hill). R. G. Dean and R. A. Dalrymple, Water Wave Mechanics for Engineers and Scientists , Advanced Series on Ocean Engineering, Volume 2, World Scientific, Singapore, 1991 (First published in 1984 by Prentice Hall, inc., Reprinted in 1992, 1993, 1994, 1995, 1998). J. Matsumoto, Water Environmental Engineering , Asakura Publishing Company, Tokyo, 1994 (In Japanese). M. Watanabe, Mathematical model and numerical simulation for motion of the gps-float in study of currents in water environment, International Journal of Pure and Applied Mathematics , 14 (3) (2004) 377--395.