Abstract
The two-dimensional local inertial equation (2D LIE), a simpler and computationally efficient approximation of the shallow water equations, was applied to Tonle Sap Lake (TSL), and the daily water level and flood area from 1998 to 2003 were then successfully reproduced. This implementation was realized by combining 2D LIE with the distributed hydrologic model GBHM and one-dimensional river flow model MIKE 11. The comparison with the observed water level indicated high predictability of the integrated hydraulic model, with a root mean square error of less than 30 cm. To further accelerate the numerical computation, an Automatic Domain Updating (ADU) technique cutting out dry cells from the simulation was applied to the 2D LIE. It successfully increased the simulation speed 1.4–2.1 times, compared to that without the ADU, with the maximum error of 0.87%.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Dutta D, Alam J, Umeda K, Hayashi M. A two-dimensional hydrodynamic model for flood inundation simulation: a case study in the lower Mekong river basin. Hydrol Process. 2007;21:1223–37.
Fujii H, Garsdal H, Ward P, Ishii M, Morishita K, Boivin T. Hydrological roles of the Cambodian floodplain of the Mekong River. Int J River Basin Manage. 2003;1:253–66.
Hai PT, Masumoto T, Shimizu K. Development of a two-dimensional finite element model for inundation processes in the Tonle Sap and its environs. Hydrol Process. 2008;22:1329–36.
Hunter NM, Bates PD, Horritt MS, Wilson MD. Simple spatially-distributed models for predicting flood inundation: a review. Geomorphology. 2007;90(3–4):208–25.
Medeiros SC, Hagen SC. Review of wetting and drying algorithms for numerical tidal flow models. Int J Numer Methods Fluids. 2014;71:473–87.
Tanaka T, Yoshioka H. An application of the automatic domain updating to the Tonle Sap Lake, Cambodia. Hydrological Res Lett. 2020;14(2):68–74.
Tanaka T, Yoshioka H, Siev S, Fujii H, Fujihara Y, Hoshikawa K, Ly S, Yoshimura C. An integrated hydrological-hydraulic model for simulating surface water flows of a shallow lake surrounded by large floodplains. Water. 2018;10:1214.
Tanaka T, Tachikawa Y, Ichikawa Y, Yorozu K. An automatic domain updating method for fast 2-dimensional flood-inundation modelling. Environ Model Softw. 2019;116:110–8.
Try S, Lee G, Yu W, Oeumg C, Jang C. Large-scale flood-inundation modeling in the Mekong River basin. J Am Society Civil Eng. 2018;23(7):05018011.
Yang D, Herath S, Musiake K. A hillslope-based hydrological model using catchment area and width functions. Hydrol Sci J. 2002;47(1):49–65.
Yu W, Kim Y, Lee D, Lee G. Hydrological assessment of basin development scenarios: impacts on the Tonle Sap Lake in Cambodia. Quat Int. 2019;503:115–27.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
1 Electronic Supplementary Material
Data 14.1
The set of C++ codes of 2D-LIE (ZIP 20 kb)
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Tanaka, T., Yoshioka, H. (2022). Numerical Simulation of Hydrodynamics Using the Two-Dimensional Local Inertial Equation. In: Yoshimura, C., Khanal, R., Sovannara, U. (eds) Water and Life in Tonle Sap Lake. Springer, Singapore. https://doi.org/10.1007/978-981-16-6632-2_14
Download citation
DOI: https://doi.org/10.1007/978-981-16-6632-2_14
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-6631-5
Online ISBN: 978-981-16-6632-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)