Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
Indexed in
A STAGGERED METHOD FOR THE SHALLOW WATER EQUATIONS INVOLVING VARYING CHANNEL WIDTH AND TOPOGRAPHY
ABSTRACT
We propose a staggered-grid finite volume method for solving the shallow water equations involving varying channel width and topography in one dimension. The method is an extension of an existing staggered conservative scheme for shallow water flows. One great advantage of the numerical method is that it does not need any Riemann solver in the flux calculation, so the numerical computation is cheap. We obtain that the method is able to solve a wide range of problems. The proposed method is well balanced and of the first order of accuracy.
-
Kono Especially Angelina, Mungkasi Sudi, Nonstandard finite difference methods for solving models of population dynamics, INTERNATIONAL CONFERENCE ON SCIENCE AND APPLIED SCIENCE (ICSAS) 2019, 2202, 2019. Crossref
-
Magdalena Ikha, Karima Nadhira, Rif’atin Hany Qoshirotur, Resonant Periods of Seiches in Semi-Closed Basins with Complex Bottom Topography, Fluids, 6, 5, 2021. Crossref
-
Pudjaprasetya Sri R., Risriani Vania M., Iryanto , Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays, Fluids, 6, 4, 2021. Crossref
-
Swastika Putu Veri, Pudjaprasetya Sri Redjeki, The Momentum Conserving Scheme for Two-Layer Shallow Flows, Fluids, 6, 10, 2021. Crossref
-
Magdalena I., Karima N., Rif'atin H.Q., Analytical and numerical studies for seiches in a closed basin with various geometric shapes of longitudinal section, Theoretical and Applied Mechanics Letters, 11, 3, 2021. Crossref
-
Magdalena I., Jonathan G., Water waves resonance and its interaction with submerged breakwater, Results in Engineering, 13, 2022. Crossref
-
Magdalena Ikha, Hariz A.A.A., Farid Mohammad, Kusuma Muhammad Syahril Badri, Numerical studies using staggered finite volume for dam break flow with an obstacle through different geometries, Results in Applied Mathematics, 12, 2021. Crossref
-
Magdalena I., Michael L., Two layer model for n-emerged porous breakwater on a muddy bottom, Results in Applied Mathematics, 15, 2022. Crossref
-
Magdalena I., Karima N., Rif’atin H.Q., Derivation of fundamental resonant period in width-varying semi-closed basins using modified SWE, Journal of King Saud University - Science, 34, 8, 2022. Crossref