Weighted Averaged Flux-Type Scheme for Shallow-Water Equations with Fractional Step Method
by Dae-Hong Kim, (Res., Water Resour. Res. Team, Korea Inst. of Water and Envir., Korea Water Resour. Corporation, 462-1 Jeonmin-dong, Youseong-gu, Daejeon 305-730, Korea. E-mail: iceman@kowaco.or.kr), Yong-Sik Cho, (corresponding author), A.M.ASCE, (Assoc. Prof., Dept. of Civ. Engrg., Hanyang Univ., 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, Korea E-mail: ysc59@hanyang.ac.kr), and Woo-Gu Kim, (Dir. General, Korea Inst. of Water and Envir., Korea Water Resour. Corp., 462-1 Jeonmin-dong, Youseong-gu, Dae-jeon 305-730, Korea. E-mail: wgkim@kowaco.or.kr)
Journal of Engineering Mechanics, Vol. 130, No. 2, February 2004, pp. 152-160, (doi: http://dx.doi.org/10.1061/(ASCE)0733-9399(2004)130:2(152))
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| Document type: |
Journal Paper |
| Abstract: |
A numerical model describing two-dimensional fluid motions has been developed on an unstructured grid system. By using a fractional step method, a two-dimensional problem governed by the two-dimensional shallow-water equations is treated as two one-dimensional problems. Thus it is possible to simulate two-dimensional numerical problems with a higher computational efficiency. One-dimensional problems are solved by using an upwind total variation diminishing version of the second-order weighted averaged flux method with an approximate Riemann solver. Numerical oscillations commonly observed in second-order numerical schemes are controlled by exploiting a flux limiter. For the general purpose, the model can simulate on an arbitrary topography, treat a moving boundary, and resolve a shock. Five ideal and practical problems are tested. Very accurate results are observed. |
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