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A two-dimensional conservative finite difference model in nonorthogonal coordinate system

Author(s): Chang-WaN. Kim; Tae-HooN. Yoon; Yong-Sik Cho; Seong-Tak Kim

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Keywords: Shallow-water equations; transport equations; finite difference model; nonorthogonal coordinate system

Abstract: A numerical model describing two-dimensional flow motion is newly developed in this study. The governing equations of the model consist of twodimensional shallow-water equations and a constituent transport equation. The governing equations are discretized by a conservative finite difference method showing the characteristics of strong conservation of mass and momentum. A nonorthogonal coordinate system is used to avoid difficulties of orthogonal grid-generation in flow fields. The developed model is applied to simulations of flows in 180° curved bends, a converging channel and a fluid motion in a square water tank. Obtained numerical solutions are compared to available laboratory measurements and analytical solutions. A reasonable agreement is observed.

DOI: https://doi.org/10.1080/00221680309499984

Year: 2003

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