Journal of Environmental Protection · 2013 · 12 citations · 72 references
Natural SciencesMeteorologyAir PollutionDifferential EquationsTransport PhenomenaAir Pollution DispersionAir Pollution ModelingAtmospheric DispersionAtmospheric Dispersion ModelingBoundary-layer StructurePollutant DispersionAnalytical Solutions For Boundary LayersBessel FunctionsBoundary Layer DispersionDiffusion EquationDispersion In Boundary LayersPollutant Dispersion ModelingPollution Dispersion ModelingSturm-liouville Theory
In this work we present the solution of the two-dimensional advection-diffusion equation by the GILTT method. The GILTT approach uses, in the series expansion, eigenfunctions given in terms of cosine functions. Here, a different expansion for the solution of the advection-diffusion equation will be explored. In other words, a Sturm-Liouville problem carrying more information of the original problem is considered, given by Bessel functions. Numerical simulations and comparisons with experimental data are presented.
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