Hydrodynamic Simulation in Tidal Rivers Using Fourier Series
Publication: Journal of Hydrologic Engineering
Volume 18, Issue 11
Abstract
One-dimensional (1D) hydrodynamic models based on the Saint-Venant equations (the SVN model) have been extensively used for flow simulation in tidal rivers. In rivers with significant tidal effects, the inconsistencies between actual flow characteristics and simplifying assumptions that the Saint-Venant equations are derived based on can introduce unignorable errors into the application of the SVN model. To reduce the errors contributed by the factors the SVN model can not completely account for, such as the tidal effect, an approach of incorporating a function into the calculated velocity by the SVN model was proposed in this study. Fourier series was employed to construct the function. By combining the proposed approach with the flow continuity equation, a 1D hydrodynamic model (the FSV model) was constructed to improve the performance of the SVN model in tidal rivers. The simulation results in the tidal reaches of the Qiantang River and the Changjiang River show that the FSV model performs better than the SVN model alone. It indicates that the proposed approach is reasonable and effective to reduce the errors due to the factors the SVN model can not completely considered in applications.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported by the Ph.D. Programs Foundation of Ministry of Education of China (No. 20120094120018), the National Natural Science Foundation of China (Grant No. 51279057), and the Fundamental Research Funds for the Central Universities (Grant No. 2012B00214).
References
Buschman, F. A., Hoitink, A. J. F., van der Vegt, M., and Hoekstra, P. (2009). “Subtidal water level variation controlled by river flow and tides.” Water Resour. Res., 45(10), W10420.
Chang, F. J., and Chen, Y. C. (2003). “Estuary water-stage forecasting by using radial basis function neural networks.” J. Hydrol., 270(1–2), 158–166.
Godin, G. (1985). “Modification of river tides by the discharge.” J. Waterway Port Coastal Ocean Eng., 111(2), 257–274.
Horrevoets, A. C., Savenije, H. H. G., Schuurman, J. N., and Graas, S. (2004). “The influence of river discharge on tidal damping in alluvial estuaries.” J. Hydrol., 294(4), 213–228.
Hu, K. L., Ding, P. X., Wang, Z. B., and Yang, S. L. (2009). “A 2D/3D hydrodynamic and sediment transport model for the Yangtze Estuary, China.” J. Marine Syst., 77(1–2), 114–136.
Lei, Z. Y., Zhang, J. S., and Kong, J. (2009). “Numerical simulation of water level under interaction between runoff and estuarine dynamic in tidal reach of the Yangtze River.” China Ocean Eng., 23(3), 543–551.
Liu, W. C., Hsu, M. H., and Kuo, A. Y. (2007). “Three-dimensional hydrodynamic and salinity transport modelling of Danshuei River estuarine system and adjacent coastal sea, Taiwan.” Hydrol. Process., 21(22), 3057–3071.
Mazumder, N. C., and Bose, S. (1995). “Formation and propagation of tidal bore.” J. Waterway Port Coastal Ocean Eng., 121(3), 167–175.
Ni, Z. H., Song, Z. Y., and Wu, L. C. (2009). “An approach to separating the current velocity in estuarine and coastal waters.” J. Hydrodyn., 21(4), 512–519.
Pan, C. H., Lin, B. Y., and Mao, X. Z. (2007). “Case study: Numerical modeling of the tidal bore on the Qiantang River, China.” J. Hydraul. Eng., 133(2), 130–138.
Pappenberger, F., Matgen, P., Beven, K. J., Henry, J. B., Pfister, L., and de Fraipont, P. (2006). “Influence of uncertain boundary conditions and model structure on flood inundation predictions.” Adv. Water Resour., 29(10), 1430–1449.
Prandle, D., Lane, A., and Manning, A. J. (2005). “Estuaries are not so unique.” Geophys. Res. Lett., 32(23), L23614.
Qu, S. M., Bao, W. M., Shi, P., Yu, Z. B., and Jiang, P. (2009). “Water-stage forecasting in a multitributary tidal river using a bidirectional Muskingum method.” J. Hydrolog. Eng., 14(12), 1299–1308.
Saavedra, I., López, J. L., and García-Martínez, R. (2003). “Dynamic wave study of flow in tidal channel system of San Juan River.” J. Hydraul. Eng., 129(7), 519–526.
Sobey, R. J. (2001). “Evaluation of numerical models of flood and tide propagation in channels.” J. Hydraul. Eng., 127(10), 805–823.
Song, Z. Y., Yan, Y. X., Shen, H. Y., and Kong, J. (2002). “A computational mode1 for velocity separation in shallow sea.” China Ocean Eng., 16(3), 407–413.
Vongvisessomjai, S., and Rojanakamthorn, S. (1989). “Interaction of tide and river flow.” J. Waterway Port Coastal Ocean Eng., 115(1), 86–104.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 18 • Issue 11 • November 2013
Pages: 1408 - 1415
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jun 5, 2010
Accepted: Oct 20, 2011
Published online: Oct 15, 2013
Published in print: Nov 1, 2013
Discussion open until: Mar 15, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.