Hydrodynamic model of Daya Bay based on finite element method

Abstract

The current problems are hot spots in recent years. With the rapid development of modern computer technology, numerical simulation technology has become an important means of scientific research, and the correlation numerical solution of two-dimensional shallow water equation is endless. In this paper, the two-dimensional shallow water equation was discretized by the finite element weighted lumped mass method, and the time is discretized by the forward Euler scheme, then the planar two-dimensional hydrodynamic model was established. The water boundary condition was defined by harmonic analysis method. The two-dimensional hydrodynamic model was applied to Daya Bay area and verified according to the measured meteorological data. Therefore, the hydrodynamic model established in this paper can be used to study the actual water flow in Daya Bay area.

This is a preview of subscription content, log in to check access.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

References

  1. Chen JR (1989) Turbulence model and finite analytic method. Shanghai Jiaotong University Press, Shanghai

    Google Scholar 

  2. Endon S (1986) Diagnostic study on the vertical circulation and the maintenance mechanisms of the cyclonic gyre in lake Biwa. J Geophys Res C1(9):869–876

    Article  Google Scholar 

  3. GalerkinB G, Rods P (1915) Series occurring in various questions concerning the elastic equilibrium of rods and plates (in Russian). Vestn Inghenevov 19:897–908

    Google Scholar 

  4. Hamrick JM (1992) A three-dimensional environmental fluid dynamics computer code: theoretical and computational aspects. Special Rep. No. 317, the college of William and Mary, Virginia institute of Marine Science, VA

  5. Leendertse JJ (1967) Aspects of a computational model for a long period wave propagation, Ph.D. Thesis, Technische Hogeschool te Deldt, Netherlandsc

  6. Leendertse JJ (1970) A water quality simulation model for well-mixed estuaries and coastal sea. Princple of computation, C A. Rand Corp RM-6230 1:15–37

    Google Scholar 

  7. Rayleigh JWS (1877) Theory of sound, 1st edn revised, dover Publications inc, New York

  8. Ritz W (1909) Uber eine neue methods zur lousung gewisser variations-problime der mathematis chen phyisk. J Reine Angew Math 135(1):1–7

    Article  Google Scholar 

  9. Triart GD (1990) Finite difference scheme for the numerical solution of fluid flow and heat transfer problems on non-stagered grids. Numer Heat Transfer, Part B 17(1):43–62

    Article  Google Scholar 

  10. Yaneko NN (1971) The method of fractional steps. Springer-Verfeg, Berlin

    Google Scholar 

  11. Yevjevich V (ed) (1975) Unsteady flow in open channels. Water Resources Publications

Download references

Acknowledgements

The authors wish to extend their gratitude to all reviewers and editors for their valuable advice. This research was financially supported by the National Natural Science Foundation of China Innovative Research Group Science Fund Project—Basic Theoretical Research on the Safety of Major Hydraulic Engineering (51321065). This work was supported by the State Key Laboratory of Hydraulic Engineering Simulation and Safety of Tianjin University.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Zhu Zhen.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Li, D., Zhen, Z., Zhang, H. et al. Hydrodynamic model of Daya Bay based on finite element method. Environ Earth Sci 79, 278 (2020). https://doi.org/10.1007/s12665-020-09019-x

Download citation

Keywords

  • Hydrodynamic model
  • Finite element method
  • Two-dimensional shallow water equations
  • Daya Bay