Academic literature on the topic 'Advection-Dispersion- Reaction equation'

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Journal articles on the topic "Advection-Dispersion- Reaction equation"

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Appadu, Appanah Rao. "Performance of UPFD scheme under some different regimes of advection, diffusion and reaction." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 7 (2017): 1412–29. http://dx.doi.org/10.1108/hff-01-2016-0038.

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Purpose An unconditionally positive definite finite difference scheme termed as UPFD has been derived to approximate a linear advection-diffusion-reaction equation which models exponential travelling waves and the coefficients of advection, diffusion and reactive terms have been chosen as one (Chen-Charpentier and Kojouharov, 2013). In this work, the author tests UPFD scheme under some other different regimes of advection, diffusion and reaction. The author considers the case when the coefficient of advection, diffusion and reaction are all equal to one and also cases under which advection or
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Andrle, M., F. Ben Belgacem, and A. El Badia. "Identification of moving pointwise sources in an advection–dispersion–reaction equation." Inverse Problems 27, no. 2 (2011): 025007. http://dx.doi.org/10.1088/0266-5611/27/2/025007.

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Schramm, Juliana, and Bardo Bodmann. "Modelagem da equação de advecção-difusão-reação e aplicação em uma usina termelétrica." Ciência e Natura 42 (August 28, 2020): e20. http://dx.doi.org/10.5902/2179460x46844.

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This work aims to create a dispersion model solving the advection-diffusion-reaction equation including the main reactions of NOx and SO2 in the atmosphere. Data from the power plant Luiz Oscar Rodrigues de Melo were used as a model application and validation of the predicted concentrations.
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Pochai, Nopparat. "A Numerical Treatment of Nondimensional Form of Water Quality Model in a Nonuniform Flow Stream Using Saulyev Scheme." Mathematical Problems in Engineering 2011 (2011): 1–15. http://dx.doi.org/10.1155/2011/491317.

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The stream water quality model of water quality assessment problems often involves numerical methods to solve the equations. The governing equation of the uniform flow model is one-dimensional advection-dispersion-reaction equations (ADREs). In this paper, a better finite difference scheme for solving ADRE is focused, and the effect of nonuniform water flows in a stream is considered. Two mathematical models are used to simulate pollution due to sewage effluent. The first is a hydrodynamic model that provides the velocity field and elevation of the water flow. The second is a advection-dispers
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Weymar, Guilherme Jahnecke, Bardo Ernst Josef Bodmann, Daniela Buske, Jonas Da Costa Carvalho, and Marco Túllio Menna Barreto de Vilhena. "SOLUÇÃO ANALÍTICA PARA UM MODELO DE DISPERSÃO DE POLUENTES COM REAÇÃO FOTOQUÍMICA NA CAMADA LIMITE ATMOSFÉRICA." Ciência e Natura 38 (July 20, 2016): 177. http://dx.doi.org/10.5902/2179460x20155.

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This paper presents an analytical solution for three-dimensional advection-diffusion equation applied to the dispersion of reactive pollutants emitted into the Atmospheric Boundary Layer (PBL). Some substances when emitted in PBL suffer photochemical reactions, so a source term is included in the advection-diffusion equation to represent this reaction, turning the model more realistic. The pollutant concentration fields obtained by the proposed solution are compared with the mixing ratio data obtained by monitoring the air quality in the metropolitan region of Porto Alegre. With the analysis o
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Hekmatzadeh, Ali Akbar, Ali Adel, Farshad Zarei, and Ali Torabi Haghighi. "Probabilistic simulation of advection-reaction-dispersion equation using random lattice Boltzmann method." International Journal of Heat and Mass Transfer 144 (December 2019): 118647. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2019.118647.

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Cho, Yong-Sik, Tak-Kyeom Kim, Woochang Jeong, and Taemin Ha. "Numerical Simulation of Oil Spill in Ocean." Journal of Applied Mathematics 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/681585.

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The spreading of oil in an open ocean may cause serious damage to a marine environmental system. Thus, an accurate prediction of oil spill is very important to minimize coastal damage due to unexpected oil spill accident. The movement of oil may be represented with a numerical model that solves an advection-diffusion-reaction equation with a proper numerical scheme. In this study, the spilled oil dispersion model has been established in consideration of tide and tidal currents simultaneously. The velocity components in the advection-diffusion-reaction equation are obtained from the shallow-wat
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Ataie-Ashtiani, B., D. A. Lockington, and R. E. Volker. "Numerical correction for finite-difference solution of the advection—dispersion equation with reaction." Journal of Contaminant Hydrology 23, no. 1-2 (1996): 149–56. http://dx.doi.org/10.1016/0169-7722(95)00082-8.

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Ataie-Ashtiani, B., and S. A. Hosseini. "Error analysis of finite difference methods for two-dimensional advection–dispersion–reaction equation." Advances in Water Resources 28, no. 8 (2005): 793–806. http://dx.doi.org/10.1016/j.advwatres.2005.02.003.

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SUCCI, SAURO. "A NOTE ON THE LATTICE BOLTZMANN VERSUS FINITE-DIFFERENCE METHODS FOR THE NUMERICAL SOLUTION OF THE FISHER'S EQUATION." International Journal of Modern Physics C 25, no. 01 (2013): 1340015. http://dx.doi.org/10.1142/s0129183113400159.

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We assess the Lattice Boltzmann (LB) method versus centered finite-difference schemes for the solution of the advection–diffusion–reaction (ADR) Fisher's equation. It is found that the LB method performs significantly better than centered finite-difference schemes, a property we attribute to the near absence of dispersion errors.
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Dissertations / Theses on the topic "Advection-Dispersion- Reaction equation"

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Mahfoudhi, Imed. "Problèmes inverses de sources dans des équations de transport à coefficients variables." Phd thesis, INSA de Rouen, 2013. http://tel.archives-ouvertes.fr/tel-00975168.

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Cette thèse porte sur l'étude de quelques questions liées à l'identifiabilité et l'identification d'un problème inverse non-linéaire de source. Il s'agit de l'identification d'une source ponctuelle dépendante du temps constituant le second membre d'une équation de type advection-dispersion-réaction à coefficients variables. Dans le cas monodimensionnel, la souplesse du modèle stationnaire nous a permis de développer des réponses théoriques concernant le nombre des capteurs nécessaires et leurs emplacements permettant d'identifier la source recherchée d'une façon unique. Ces résultats nous ont
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Book chapters on the topic "Advection-Dispersion- Reaction equation"

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Logan, J. David. "Reaction—Advection—Dispersion Equation." In Interdisciplinary Applied Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3518-5_2.

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Conference papers on the topic "Advection-Dispersion- Reaction equation"

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Haji Mohammadi, Mohammad. "Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98426.

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In this paper, the truly Meshless Local Petrov-Galerkin (MLPG) method is extended for computation of unsteady incompressible flows, governed by the Navier–Stokes equations (NSE), in vorticity-stream function formulation. The present method is a truly meshless method based only on a number of randomly located nodes. The formulation is based on two equations including stream function Poisson equation and vorticity advection-dispersion-reaction eq. (ADRE). The meshless method is based on a local weighted residual method with the Heaviside step function and quartic spline as the test functions res
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