Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite-Difference Method

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GHOBADIAN R.

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ISSN: 2588-4824

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Journal: WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE) Year:2019 | Volume:29 | Issue:2 Page(s): 85-99

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Title

Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite-Difference Method

Author(s)

GHOBADIAN R. | Issue Writer Certificate

Keywords

Dam breakQ1

Lax schemeQ1

Leap-Frog schemeQ2

Numerical simulationQ2

Shallow water equationsQ1

Abstract

Explicit finite-difference along with the combination of Lax and Leap-Frog schemes have been used to solve the 2D Shallow water equations (SWE) to describe the free surface Dam break flow in open channels. Discretization of SWE were carried out on a staggered grid. The model assessment was carried out by comparing the model results with the results of the analytical solution of a one-dimensional instantaneous Dam break over a flat bed without friction and also with some researcher’ s numerical data for two-dimensional break of a circular column of water. Then the model results were compared with the present experimental data of a symmetry partial Dam break. In all cases, the model could simulate the Dam break flow with an appropriate accuracy.

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APA: Copy

GHOBADIAN, R.. (2019). Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite-Difference Method. WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE), 29(2 ), 85-99. SID. https://sid.ir/paper/147780/en

Vancouver: Copy

GHOBADIAN R.. Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite-Difference Method. WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE)[Internet]. 2019;29(2 ):85-99. Available from: https://sid.ir/paper/147780/en

IEEE: Copy

R. GHOBADIAN, “Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite-Difference Method,” WATER AND SOIL SCIENCE (AGRICULTURAL SCIENCE), vol. 29, no. 2 , pp. 85–99, 2019, [Online]. Available: https://sid.ir/paper/147780/en

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