Abstract
This paper reports a fine numerical simulation of environmental flow and contaminant transport in the Amazonian water system near the Anamã City, Brazil, solved by the Q3drm1.0 software, developed by the Authors, which can provide the different closures of three depth-integrated two-equation turbulence models. The purpose of this simulation is to refinedly debug and test the developed software, including the mathematical model, turbulence closure models, adopted algorithms, and the developed general-purpose computational codes as well as graphical user interfaces (GUI). The three turbulence models, provided by the developed software to close non-simplified quasi three-dimensional hydrodynamic fundamental governing equations, include the traditional depth-integrated two-equation turbulence model, the depth-integrated two-equation turbulence model, developed previously by the first Author of the paper, and the depth-integrated two-equation turbulence model, developed recently by the Authors of this paper. The numerical simulation of this paper is to solve the corresponding discretized equations with collocated variable arrangement on the non-orthogonal body-fitted coarse and fine two-levels’ grids. With the help of Q3drm1.0 software, the steady environmental flows and transport behaviours have been numerically investigated carefully; and the processes of contaminant inpouring as well as plume development, caused by the side-discharge from a tributary of the south bank (the right bank of the river), were also simulated and discussed in detail. Although the three turbulent closure models, used in this calculation, are all applicable to the natural rivers with strong mixing, the comparison of the computational results by using the different turbulence closure models shows that the turbulence model with larger turbulence parameter provides the possibility for improving the accuracy of the numerical computations of practical problems.
Highlights
Numerous environmental flows can be considered as shallow, known as quasi threedimensional flow, i.e., the horizontal length scales of the flow domain are much larger than the depth
The phenomena of environmental flow and pollutant transport are closely related to the human activities and social life in the densely populated and economically developed regions
This paper reports a numerical simulation of environmental flow and contaminant transport in the Solimões River near The Anamã City, Brazil, aiming to develop an engineering software, namely Q3drm1.0, composed of grid-generator, flow-solver, graphical user interfaces (GUI) and help system etc., which can provide three selectable depth-integrated two-equation closure turbulence models, to refinedly solve quasi 3D flow and contaminant transport problems in complex shallow waters
Summary
Numerous environmental flows can be considered as shallow, known as quasi threedimensional flow, i.e., the horizontal length scales of the flow domain are much larger than the depth. People often need to build the depth-integrated (depth-averaged) mathematical models and corresponding turbulence closure models for simulating and predicting the flow and pollutant transport behaviors in shallow waters. People rarely use different depth-integrated turbulence models to explore a practical problem of the flow and transport modeling in natural shallow waters. This paper reports a numerical simulation of environmental flow and contaminant transport in the Solimões River near The Anamã City, Brazil, aiming to develop an engineering software, namely Q3drm1.0, composed of grid-generator, flow-solver (computing engine), GUI and help system etc., which can provide three selectable depth-integrated two-equation closure turbulence models, to refinedly solve quasi 3D flow and contaminant transport problems in complex shallow waters. Recent advancements in grid generation technologies, numerical algorithms and IT techniques have been adopted to generate non-orthogonal boundary-fitted coordinates with collocated grid arrangement, on which the fundamental governing equations can be closed by selected depth-integrated turbulence models, and solved by multi-grid iterative acceleration method [11]
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