A robust numerical model for shallow water governing solute transport with wet/dry interfaces

Liu, Xin

2019-07

10.1016/j.cma.2019.03.026

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING   影响因子和分区

0045-7825

1879-2138

In this study, a robust numerical model is developed to guarantee that the C-property for both hydrodynamic and solute transport models and positivity of both water depth and solute concentration. Moreover, special attention is paid to satisfying such properties in the unstructured triangular cells near wet-dry interfaces. In the developed numerical model, the finite-volume central-upwind scheme is adopted to approximate the advective fluxes, and Green's theorem is applied to estimate the diffusive fluxes. The C-property for hydrodynamic model near wet-dry area is achieved by introducing an auxiliary free surface variable used in the piecewise linear reconstruction and discretizing the bed slope source term in a special form. And the C-property for solute transport is guaranteed by reconstructing secondary variables instead of the primary variables within the frame of central-upwind method, and using the coupling approach for the governing system. The positivity of the solute concentration is satisfied using a proposed diluting time step restriction and the positivity of the water depth is guaranteed by a draining time technique. The desired properties of the proposed numerical model are verified by several numerical experiments. (C) 2019 Elsevier B.Y. All rights reserved.

Shallow water equations C-property Solute transport Positivity-preserving Finite volume method Wetting-drying

SCI ; EI

英语

第一 ; 通讯

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000468590100005

ELSEVIER SCIENCE SA

20191506757593

Equations of motion ; Finite volume method ; Hydrodynamics ; Piecewise linear techniques ; Solute transport

Mathematics:921 ; Classical Physics; Quantum Theory; Relativity:931

COMPUTER SCIENCE

Web of Science

Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

Liu, Xin. A robust numerical model for shallow water governing solute transport with wet/dry interfaces[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2019,351:85-108.

Liu, Xin.(2019).A robust numerical model for shallow water governing solute transport with wet/dry interfaces.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,351,85-108.

Liu, Xin."A robust numerical model for shallow water governing solute transport with wet/dry interfaces".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 351(2019):85-108.