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