A robust coupled model for solute transport driven by severe flow conditions

Abstract

This paper introduces a computationally efficient model that solves a 4 Â 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 3e17 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.

Numerical Modeling the Flood and Pollutant Transport Processes in Residential Areas with Different Land Use Types

“…e test is carried out in a 200 m × 800 m rectangular domain, with the north and south boundaries as wall boundaries, the west boundary as the inflow boundary, and the east boundary as the outflow boundary so that free flow is achieved [1]. e entire domain has a flatbed, and the influence of bottom friction is not considered.…”

“…In July 1995, the Hun River and Taizi River basins located in Liaoning Province in China experienced large flood events; multiple levees burst in both rivers and 7.6 × 10 5 hm 2 of farmland were submerged by the flood following a dike break; the economic losses reached ¥34.4 billion. e Brisbane River in Australia flooded after continuous rainfall in January 2011, resulting in a severe flood disaster with large impacts on urban residents and the infrastructure [1]. Flooding events in Europe caused losses of about 4.9 billion euros every year from 2000 to 2012 [2].…”

“…In fact, floods tend to have rapid velocity and strong destructive power, so accurate simulations of the water depth and flow velocity of floods in lowlying areas near the river are needed. erefore, many twodimensional (2D) models based on the solution to the 2D shallow water equations (SWEs) have become popular due to their computational accuracy and efficiency in flood simulations [1,9,10]. Particularly, the Godunov-type SWEs models have exhibited great potential for modeling transient overland flows and flash floods due to their shock-capturing capability [11].…”

“…For example, the sewage treatment plants or the treatment ponds that contain pollutants are destroyed by a torrential flood; the released pollutants will rapidly migrate and spread with the floodwater, resulting in significant environmental pollution and damage to densely populated areas. To the best of our current knowledge, an increasing number of numerical studies have been considered to facilitate flood risk management associated with polluted floodwater in urban areas and then to predict the fate of point-source pollutants transported by flood waves in small-scale regions [1,11,20,21].…”

Numerical simulation of solute transport and structural analysis for groundwater connection medium based on the tracer test

“…Moradi and Mehdinejadiani () established solute transport models in homogeneous and heterogeneous porous media using spatial fractional advection‐dispersion equation. Besides, the publications (Feehley et al , ; Dentz et al , ; Larsbo et al , ; Bijeljic et al , ; ; ; Anwar, ; Zhang et al , ; Gharehbaghi, ) also consider the solute transport. Beyond that, the uncertainty analysis and estimation method (Mirzaei et al , ; ; Faghih et al , ) can be also used for reference and improvement of the groundwater connection tracing.…”