A coupled model of hydrodynamics circulation and water quality applied to the Rio Verde reservoir, Brazil

Abstract

This work applied the coupled horizontal two-dimensional hydrodynamic circulation model (2DH) and the vertically integrated water quality model for non-conservative and passive scalars to the Rio Verde reservoir in the state of Paraná, Brazil, to simulate flow, temperature and water quality parameters. The water quality model uses the same spatial grid applied for the hydrodynamics model. Flow velocities and turbulence coefficients previously defined in the hydrodynamics model can be used directly in the water quality model. Modeling results were compared to field data for a period of 308 days, from February 27th 2010 and December 31th 2010. Field data included water and air temperature, wind, relative humidity, radiation, discharges and concentration values of some substances in the tributaries of the reservoir. The results indicated that hydrodynamic circulation and, consequently, horizontal transport, are strongly dependent on the wind. Inflows/outflows generated a localized circulation. The results for the temperature and dissolved oxygen concentration were compared with field measures and a satisfactory consistency was achieved. Despite the errors associated with boundary conditions, the models demonstrated their potential to adequately simulate the data set collected from the reservoir.

A finite difference method formulation based on the time integral domain for the solution of Transient diffusion-advection problem

“…In this work is considered K = 0. A deeper discussion about equation ( 1) and its coefficients, can be found in Cunha, et al (2006) and Cunha, et al (2018). (Rapp, 2017) By following the basic procedures for the FDM, see the textbooks by Greenberg, (1988) andGordon, (1985) for the explicit progressive numerical scheme and applying in equation ( 1), the basic equation is rewritten below:…”

“…The following works can be mentioned: the FDM formulation for twodimensional equation is presented by (Cunha & Rosman, 2018), a study concerning the stability is presented by (Dai & Johnson, 2010), a high accuracy adaptive difference strategy on 1D reactiondiffusion equation with convection in (Zhu & Hongxing, 2019). The coupling of finite element method (FEM) with FDM, and boundary element method with FDM is also successfully used, Wang & Zhen-Hui (2005) and Cunha et al (2018) used FEM in spatial, Carrer et al (2017) used BEM in spatial, and those papers used FDM in temporal discretization. Although the numerical aspects of this equation are a very attractive field, the applicability for this problem is also a very important issue in engineering.…”

Evaluation of baroclinic effects on mean water levels in Guanabara Bay

“…This model system was adopted for its applications versatility and its proven reliability in the face of extensive use in various researches, projects and studies to support environmental management of water resources, which are listed in the items "Research -Theses" and "Applications -Projects" on the website. In addition to the works listed on this website, there are papers published in journals such as Feitosa et al 2013 2017, Barros and Rosman (2018) and Cunha et al(2018). The models implemented therein can be used to predict the flow of water and the transport of scalar quantities of interest.…”