Technical Notes
Apr 22, 2015

Prediction–Correction Method for Parallelizing Implicit 2D Hydrodynamic Models. II: Application

Publication: Journal of Hydraulic Engineering
Volume 141, Issue 8

Abstract

A two-dimensional (2D) hydrodynamic model is developed for the Jing-Dongting river–lake system, with the computation domain (3,900km2) covered by a channel-refined grid of 300,000 cells. The model provides good descriptions of the river–lake characteristics (strongly coupled, annular branches, varying flow regimes). In a simulation of a 1-year unsteady flow process, the mean absolute error in simulated water levels is 0.11–0.15 m, and the mean absolute relative error in simulated cross-section discharges is 4.3–8.5%, compared with field data. The accuracy of the 2D model is obviously better than those of existing one-dimensional (1D) and 1D–2D nested models. The prediction–correction parallelization (PCP) method is then tested by simulating the river–lake system using 64 subdomains. The complexities of real rivers are revealed to have almost no negative effects on the quasi-coupled solutions and accuracy of the PCP method. In tests, the mean absolute error in water level is found to be approximately 0.3 cm, and the mean absolute relative error in cross-section discharges is 0.23%, comparing the results of sequential and PCP simulations. In solving linear systems, sequential runs are 40.5 to 76.8 times slower than parallel runs using 64 cores. It takes 6.6 h to complete a simulation of a 1-year unsteady flow process in the river–lake system. The 2D model is then applied to the study of regulations of real river networks.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

We thank Yuling Huang and Yue Huang (senior professors at the Yangtze River Scientific Research Institute) for encouraging us to begin studying the modeling of river networks in 2009. The financial support of the National Natural Science Foundation of China (51109009, 51339001, 51039003, and 51009012) is also gratefully acknowledged.

References

Casulli, V., and Walters, R. A. (2000). “An unstructured grid, three-dimensional model based on the shallow water equations.” Int. J. Numer. Meth. Fluids, 32(3), 331–348.
Chen, Y., Wang, Z., Liu, Z., and Zhu, D. (2012). “1D–2D coupled numerical model for shallow-water flows.” J. Hydraul. Eng., 122–132.
Dronkers, J. J. (1969). “Tidal computations for rivers, coastal areas, and seas.” J. Hydraul. Div. Proc., 95(HY1), 29–77.
Fan, P., Li, J. C., Liu, Q. Q., and Singh, V. P. (2008). “Influence of morphological changes on flooding in Jingjiang River.” J. Hydraul. Eng., 1757–1766.
Hu, D. C., Zhang, H. W., and Zhong, D. Y. (2009). “Properties of the Eulerian–Lagrangian method using linear interpolators in a three-dimensional shallow water model using z-level coordinates.” Int. J. Comput. Fluid Dyn., 23(3), 271–284.
Hu, D. C., Zhong, D. Y., Wang, G. Q., and Zhu, Y. H. (2013). “A semi-implicit three-dimensional numerical model for non-hydrostatic pressure free-surface flows on an unstructured, sigma grid.” Int. J. Sediment Res., 28(1), 77–89.
Hu, S., Si, Y., Wang, Y., and Wu, Y. X. (2002). “Numerical modeling of flood routing for the middle-lower Yangtze River system.” Adv. Water Sci., 13(3), 278–286 (in Chinese).
Li, L. L. (2009). “Hydrodynamics of Jingjiang River and Dongting Lake as a coupled system.” Ph.D. dissertation, Tisnghua Univ., Beijing (in Chinese).
Li, Y. T. (2002). “Comparisons of the forecast simulations of flows and sediment transport using one-dimensional numerical models for rivers downstream of the TGR project.” Studies on the flows and sediment transport of the TGR project, Vol. 7, Intellectual Property Publishing House, Beijing, 323–329 (in Chinese).
Li, Y. T., Sun, Z. H., Liu, Y., and Deng, J. Y. (2009). “Channel degradation downstream from the Three Gorges project and its impacts on flood level.” J. Hydraul. Eng., 718–728.
Pan, Q. X., and Hu, X. Y. (2011). “Research on the river regulation of the middle and lower Yangtze River.” China WaterPower Press, Beijing (in Chinese).
Roe, P. L. (1981). “Approximate Riemann solvers, parameter vectors, and difference-schemes.” J. Comput. Phys., 43, 357–372.
Shubinski, R. P., McCarty, J. C., and Lindorf, M. R. (1965). “Computer simulation of estuarial networks.” J. Hydraul. Div. Proc., 91(HY5), 33–49.
Tan, W. Y., et al. (1996). “Flow model ling of the middle Yangtze River-Dongting Lake flood control system. I: Modelling procedures and basic algorithms.” Adv. Water Sci., 7(4), 336–345 (in Chinese).
Wang, M. (2008). “Research on evolution of Jingjiang River and Dongting Lake following completion of Three Gorges Reservoir.” Ph.D. dissertation, Wuhan Univ., Wuhan, China (in Chinese).
Warren, I. R., and Bach, H. K. (1992). “MIKE 21: A modelling system for estuaries, coastal waters and seas.” Environ. Softw., 7(4), 229–240.
Yao, S., Zhang, Y., and Wang, X. (2008). “Research on the decline mechanism of river networks on south bank of Jingjiang River reach.” J. Hydroel. Eng., 27(4), 54–59 (in Chinese).
Yu, W. C., and Lu, J. Y. (2005). “The fluvial process and river regulation of the Yangtze River.” China WaterPower Press, Beijing (in Chinese).
Zhang, Y. L, Baptista, A. M, and Myers, E. P. (2004). “A cross-scale model for 3D baroclinic circulation in estuary-plume-shelf systems. I: Formulation and skill assessment.” Cont. Shelf Res., 24(18), 2187–2214.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 141Issue 8August 2015

History

Received: Sep 24, 2013
Accepted: Jan 19, 2015
Published online: Apr 22, 2015
Published in print: Aug 1, 2015
Discussion open until: Sep 22, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Dechao Hu, Ph.D. [email protected]
Senior Engineer, Yangtze River Scientific Research Institute, Wuhan 430010, China; and Graduated Ph.D. Student, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, China (corresponding author). E-mail: [email protected]; [email protected]
Deyu Zhong, Ph.D.
Associate Professor, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, China.
Yonghui Zhu, Ph.D.
Professor and Senior Engineer, Yangtze River Scientific Research Institute, Wuhan 430010, China.
Guangqian Wang, Ph.D.
Professor, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, China.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share