A robust coupled model for solute transport driven by severe flow conditions
- Resource Type
- Authors
- Yueling Wang; Qiuhua Liang; Lili Zhang; Junxian Yin
- Source
- Journal of Hydro-environment Research. 9:49-60
- Subject
- Conservation law
Mathematical optimization
Environmental Engineering
Finite volume method
Mathematical model
Adaptive mesh refinement
Computer science
Godunov's scheme
Mechanics
Management, Monitoring, Policy and Law
Riemann solver
symbols.namesake
Flow (mathematics)
symbols
Environmental Chemistry
Shallow water equations
Water Science and Technology
Civil and Structural Engineering
- Language
- ISSN
- 1570-6443
This paper introduces a computationally efficient model that solves a 4 × 4 matrix form of the hyperbolic conservation laws consisting of the 2D shallow water and advection-diffusion equations. The model allows automatic shock-capturing due to the implementation of a finite volume Godunov-type scheme featured with an HLLC approximate Riemann solver. The numerical scheme is also able to provide well-balanced solutions and maintain non-negative water depth and solute concentration for applications involving wetting and drying over complex domain topographies. Implemented on a simplified adaptive grid system, the model can save 3–17 times of computational cost without compromising solution accuracy for those simulations with predominant localised complex hydrodynamic or flow features, as demonstrated by the numerical experiments. Therefore, the current model provides a potential tool for efficient simulation of large-scale solute transport as well as flow hydrodynamics during a highly transient flood event caused by dam failure or flash flooding.