Open AccessDifferent Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
Author(s) -
Camila Costa,
Karine Rui,
Leslie D. Pérez-Fernández
Publication year - 2018
Publication title -
tema
Language(s) - English
Resource type - Journals
eISSN - 2179-8451
pISSN - 1677-1966
DOI - 10.5540/tema.2018.019.01.43
Subject(s) - laplace transform , advection , inversion (geology) , inverse laplace transform , turbulence , mathematics , diffusion equation , convection–diffusion equation , inverse , mathematical analysis , mechanics , physics , geometry , geology , thermodynamics , paleontology , economy , service (business) , structural basin , economics
In this paper, a three-dimensional solution of the steady-state advection-diffusion equation is obtained applying the Generalized Integral Advection Diffusion Multilayer Technique (GIADMT), considering non-local closure for turbulent flow. Two different parameterizations were considering for the countergradient term and different methods of numerical inversion for inverse Laplace transform. The results were compared with the experimental data of Copenhagen experiment by an evaluation of statistical indices to analyse the solution of the equation through the methods of numerical inversion. Differents parameterizations for the vertical turbulent eddy diffusivity and wind profile were utilized. The results show a good agreement with the experiment and the methods of numerical inversion for inverse Laplace transform show same efficacy.