Curvas de permanência de qualidade da água como subsídio para o enquadramento de corpos d'água a partir de modelagem matemática em regime não permanente

Ferreira, Danieli Mara; Fernandes, Cristóvão Vicente Scapulatempo; Kaviski, Eloy

doi:10.1590/2318-0331.011615143

Cited by 10 publications

(11 citation statements)

References 19 publications

(16 reference statements)

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“…This work allowed to assess some differences between different numerical schemes for resolution of these expressions, complementing the study by Ferreira, Fernandes and Kaviski (2016), who presented a numerical solution a water quality hydrodynamic model. The diffusive Lax method, although a simplified computational procedure, was shown to be significantly more restrictive and sensitive to the change in the Δt interval.…”

Section: Discussionmentioning

confidence: 83%

“…The calibration using the Lax method, presented in Ferreira, Fernandes and Kaviski (2016), was performed using data from the year 2010. The verification, on the other hand, is applied in this study for the year 2011.…”

Section: Resultsmentioning

confidence: 99%

“…This region concentrates near 30% of Paraná's population (PARANÁ, 2013). Details of the study area and a description of the monitoring points are provided in Ferreira, Fernandes and Kaviski (2016).…”

Section: Methods the River System Input Datamentioning

confidence: 99%

“…Complementary information regarding the simulations using the Lax diffusive method is presented in Ferreira, Fernandes and Kaviski (2016).…”

Section: Explicit Scheme Solutionmentioning

confidence: 99%

“…In this research verifications for the Saint-Venant equations through the Lax diffusive scheme are conducted, in addition to the study presented by Ferreira, Fernandes and Kaviski (2016), which obtained solutions of the hydrodynamic model associated to water quality (SIHQUAL model). For the same simulation conditions, are shown results generated with the HEC-RAS software (USACE, 2010), a model well established in the literature (PAIVA; COLLISCHONN; BRAVO, 2011;FAN et al, 2012;HAMEED;ALI, 2013).…”

Section: Introductionmentioning

confidence: 99%

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Verification of Saint-Venant equations solution based on the lax diffusive method for flow routing in natural channels

Ferreira

Fernandes

Gomes

2017

RBRH

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Hydrodynamic models, based on the Saint-Venant equations, represent the transient flow in water systems, and simulate flow routing over time and space. Several numerical solutions have been applied to these expressions, but often differences are found in results among distinct procedures, considering that all numerical approaches have limitations. Natural channels are characterized by a dynamic flow behavior, with multiple uses of water and changes in morphology, which occur naturally and by human influence. In this context, this study seeks to complement the understanding of different assumptions and approximations for solution of the Saint-Venant equations, verifying results of the Lax diffusive scheme and comparing with HEC-RAS model. The case study consists of a river that covers an urban area (River Iguaçu, located in Curitiba, Paraná). Comparing the observed and simulated hydrographs, it was possible to assess that how the equations are solved, which determines the type of boundary conditions to be used, that may contribute to differences in simulated flows. Additionally, the calibration strategy and the hypothesis of trapezoidal cross-sections produced positive results. The development of this research should also encourage the progress in solving the hydrodynamic model trough the Lax diffusive scheme, particularly concerning computational efficiency. Explicit schemes, although more sensitive to the time step, have the advantage of simplicity to implement, which could be beneficial in the study of complex systems such as urban rivers.Keywords: Saint-Venant equations; Lax diffusive scheme; HEC-RAS; Iguaçu River. RESUMOModelos hidrodinâmicos, formados pelas equações de Saint-Venant, representam o escoamento transitório em sistemas hídricos, e simulam a propagação de vazões ao longo do tempo e do espaço. Diversas soluções numéricas têm sido aplicadas a essas expressões, porém frequentemente são encontradas diferenças de resultados entre procedimentos, uma vez que toda aproximação numérica possui limitações. Canais naturais são caracterizados por um comportamento dinâmico das vazões, considerando os usos múltiplos da água e as alterações de morfologia, que ocorrem naturalmente ou por influência antrópica. Nesse contexto, esse trabalho procura complementar o entendimento acerca de diferentes hipóteses e aproximações para solução das equações de Saint-Venant, verificando resultados do esquema difusivo de Lax e comparando com o software HEC-RAS. O estudo de caso consiste em um rio que drena uma área densamente povoada (rio Iguaçu, localizado em Curitiba-PR). Ao comparar os hidrogramas observados e simulados, foi possível avaliar que a forma como as equações são resolvidas, que por sua vez determina o tipo de condição de contorno a ser utilizada, pode contribuir para diferenças na vazão simulada. Adicionalmente, foi observado que a calibração alcançada é adequada, assim como a hipótese de seção transversal trapezoidal. O desenvolvimento da pesquisa deve auxiliar ainda o avanço na solução do modelo hidrodi...

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Section: Discussionmentioning

confidence: 83%

Section: Resultsmentioning

confidence: 99%

Section: Methods the River System Input Datamentioning

confidence: 99%

“…Complementary information regarding the simulations using the Lax diffusive method is presented in Ferreira, Fernandes and Kaviski (2016).…”

Section: Explicit Scheme Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Verification of Saint-Venant equations solution based on the lax diffusive method for flow routing in natural channels

Ferreira

Fernandes

Gomes

2017

RBRH

Self Cite

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Deterministic and Stochastic Principles to Convert Discrete Water Quality Data into Continuous Time Series

Ferreira¹,

Coelho²,

Fernandes³

et al. 2021

Water Resour Manage

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Limited water quality data is often responsible for incorrect model description and misleading 7 interpretation in water resources planning and management scenarios. This study compares two hybrid 8 strategies to convert discrete concentration data into continuous daily values for one year in different river 9 sections. Model A is based on an autoregressive process, accounting for serial correlation, water qual-10 ity historical characteristics (mean and standard deviation) and random variability; the second approach 11 (model B) is a regression model, based on the relationship between monitoring flow and concentrations, 12 plus an error term. The generated series (here referred to as synthetic series) are propagated in time and 13 space by a full deterministic model (SihQual), that solves the Saint-Venant and advection-dispersion-14 reaction equations. Results reveal that both approaches are appropriate to reproduce the variability of 15 biochemical oxygen demand and organic nitrogen concentrations, leading to the conclusion that the com-16 bination of deterministic/empirical and stochastic components are compatible. A second outcome arises 17 from the comparison of results in different time scales, supporting the need for further assessment of 18 statistical characteristics of water quality data -which relies on monitoring plans. Nonetheless, the pro-19 posed methods are suitable to estimate multiple scenarios of interest in water resources planning and 20 management.

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The dynamic of seasonal nonpoint pollution in complex watersheds.

Magalhães¹

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Periods of drought are impactful in terms of surface water quality, as there is less mass available to dilute the released contaminants. However, it has now been determined that the cause of substantial effects on water and aquatic habitat is surface runoff caused by rainfall-flow process. Although not receiving as much attention, diffuse pollution (runoff, deforestation, fertilizers from farmland, etc.) is just as harmful as point pollution (from treatment plants, industrial discharges, etc.). Thus, the coupling of hydrological, load and hydrodynamic models related to water quality is becoming increasingly important. The development of the CABC-QUAL model in this work was thought to help with these complex issues, which include the multiples uses of the watershed and the variability of precipitation itself, the different forms of sanitary systems and the seasonality of the constituents. In addition, a tool was included to manage Best Management Practices (BMP) through in situ Treatment Units, which proved to be a great helper for positioning these practices to reduce pollution in surface waters. In the two case studies used to validate the developed model, the CABC-QUAL demonstrated its ability to perform all its tasks accurately, quickly and completely. It also demonstrated results on an annual time scale, discussing all the complexity of the variation in constituent concentrations distributed across the basin. This tool will be essential to represent the complexity of water quality more accurately and will serve as support for depollution programs.

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Curvas de permanência de qualidade da água como subsídio para o enquadramento de corpos d'água a partir de modelagem matemática em regime não permanente

Cited by 10 publications

References 19 publications

Verification of Saint-Venant equations solution based on the lax diffusive method for flow routing in natural channels

Verification of Saint-Venant equations solution based on the lax diffusive method for flow routing in natural channels

Deterministic and Stochastic Principles to Convert Discrete Water Quality Data into Continuous Time Series

The dynamic of seasonal nonpoint pollution in complex watersheds.

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