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Numerical Simulation of Hydrodynamics Using the Two-Dimensional Local Inertial Equation

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Water and Life in Tonle Sap Lake

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%.

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Correspondence to Tomohiro Tanaka .

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1 Electronic Supplementary Material

Data 14.1

The set of C++ codes of 2D-LIE (ZIP 20 kb)

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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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

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