Numerical simulation of infiltration and solute transport in an S-shaped model basin by a boundary-fitted grid system

Kinouchi, Tsuyoshi; Kanda, Manabu; Hino, Masahiro

doi:10.1016/0022-1694(91)90189-o

Cited by 13 publications

(10 citation statements)

References 28 publications

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“…This method was also successfully applied to heat transport (Lakner and Plazl, 2008;Ruhaak et al, 2008), saturated groundwater flow (Koo and Leap, 1998;Jie et al, 2004;Ruhaak et al, 2008), and saturated-unsaturated flow modeling Kinouchi et al, 1991). Kinouchi et al (1991) applied a coordinate transformation method to FDM for simulating two-dimensional unsaturated flow in porous media. They solved the pressurehead-based Richards' equation, in which the transformed equation took a nonconservative form; the iterative method for nonlinear systems was not presented in the paper.…”

Section: Introductionmentioning

confidence: 98%

“…The coordinate transformation method has commonly been applied to the general Navier-Stokes equation in computational fluid dynamics (Hsu et al, 1998;Maliska and Raithby, 1984) and has been used for describing circulation and transport in estuaries and oceans (Chen, 2004;Murray and Reason, 2001). This method was also successfully applied to heat transport (Lakner and Plazl, 2008;Ruhaak et al, 2008), saturated groundwater flow (Koo and Leap, 1998;Jie et al, 2004;Ruhaak et al, 2008), and saturated-unsaturated flow modeling Kinouchi et al, 1991). Kinouchi et al (1991) applied a coordinate transformation method to FDM for simulating two-dimensional unsaturated flow in porous media.…”

Section: Introductionmentioning

confidence: 98%

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Comparison between iteration schemes for three-dimensional coordinate-transformed saturated–unsaturated flow model

Ichikawa

Tachikawa

et al. 2012

Journal of Hydrology

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

Comparison between iteration schemes for three-dimensional coordinate-transformed saturated–unsaturated flow model

Ichikawa

Tachikawa

et al. 2012

Journal of Hydrology

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“…As equações que descrevem esses processos, em condições reais de campo, apresentam grande complexidade (Cox et al, 1994); no entanto, Kinouchi et al (1991) e Wallach & Shabtai (1992) consideram que a evolução dos recursos computacionais, aliada às técnicas numéricas, tem facilitado a modelagem do transporte de solutos, tornando possível integrar-se os múltiplos processos que determinam as mudanças na concentração dos solutos presentes no solo, no tempo e no espaço, o que permite melhor entendimento do comportamento dos processos associados ao transporte e à transformação dos solutos no solo. No Brasil, os poucos estudos realizados limitam-se à determinação do poder residual e à movimentação e degradação de pesticidas, de metais pesados, de nutrientes e de compostos orgânicos no solo.…”

Section: Introductionunclassified

Transporte de solutos no solo e no escoamento superficial: I - desenvolvimento do modelo e simulação do movimento de água e escoamento superficial

Oliveira

Martinez²,

Pruski³

et al. 2000

Rev. bras. eng. agríc. ambient.

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RESUMODesenvolveu-se um modelo matemático para simulação do transporte de soluto no solo e no escoamento superficial. As equações diferenciais que regem os processos de transporte são resolvidas numericamente, pelo método das diferenças finitas. Para se avaliar o desempenho do modelo proposto, montou-se um experimento em nível de campo, constituído de nove parcelas, nas quais foram aplicadas três lâminas de irrigação com diferentes intensidades de precipitação; antes e após a aplicação da irrigação foram retiradas amostras de solo, para a obtenção dos perfis de umidade e, no final da parcela, coletou-se a vazão escoada superficialmente, pelo método direto. Os resultados simulados pelo modelo foram comparados com os experimentais, através do erro relativo médio. O modelo desenvolvido mostrou-se adequado para se descrever os processos de movimento de água no solo e escoamento superficial, apresentando comportamento semelhante aos das observações experimentais, podendo ser utilizado para simular esses processos, desde que os parâmetros de entrada do modelo sejam representativos.Palavras-chave: transporte de solutos, escoamento superficial, transporte de sedimentos SOLUTE TRANSPORT IN SOIL AND SURFACE RUNOFF: I -MODEL DEVELOPMENT AND SIMULATION OF SOIL WATER MOVEMENT AND SURFACE RUNOFF ABSTRACTA mathematical model was developed to simulate solute transport in both soil and in surface runoff. The differential equations that govern the transport processes are numerically solved through the finite difference method. For the evaluation of the proposed model a field experiment was planned with nine plots under three irrigation levels with different rainfall intensities. Soil was sampled before and after irrigation to obtain moisture content profiles. At the end of the plot runoff flow was collected by the direct method. The model-simulated results were compared with the experimental data through the mean relative error. The developed model was found to describe adequately water movement and surface runoff, showing a behavior similar to experimental observations, making possible the utilization of the model to simulate these processes, if the model input parameters are representative.

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“…We pay special attention to the second term in Eq. 7, in which we first substitute Darcy's law (10). With the application of partial integration and the associated boundary conditions, this term becomes…”

Section: Variational Formulationmentioning

confidence: 99%

“…This has been applied successfully for saturated-unsaturated flow [1,10]. In those works, the highly nonlinear Richards' equation is considered leading to a computationally demanding method.…”

Section: Introductionmentioning

confidence: 99%

Efficient water table evolution discretization using domain transformation

et al. 2016

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Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem is greatly simplified by using a mapping from the physical domain to a reference domain and is then further reduced to a single, (nonlinear) partial differential equation. We show well-posedness of the approach and propose a stable and convergent discretization scheme. Numerical results are presented supporting the theory.

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Numerical simulation of infiltration and solute transport in an S-shaped model basin by a boundary-fitted grid system

Cited by 13 publications

References 28 publications

Comparison between iteration schemes for three-dimensional coordinate-transformed saturated–unsaturated flow model

Comparison between iteration schemes for three-dimensional coordinate-transformed saturated–unsaturated flow model

Transporte de solutos no solo e no escoamento superficial: I - desenvolvimento do modelo e simulação do movimento de água e escoamento superficial

Efficient water table evolution discretization using domain transformation

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