The state-of-art of the GILTT method to simulate pollutant dispersion in the atmosphere

DM Moreira, MT Vilhena, D Buske, T Tirabassi - Atmospheric Research, 2009 - Elsevier
In this work, we present a review of the GILTT (Generalized Integral Laplace Transform
Technique) solutions for the one and two-dimensional, time-dependent, advection–diffusion …

[HTML][HTML] Air pollution steady-state advection-diffusion equation: the general three-dimensional solution

D Buske, MT Vilhena, T Tirabassi… - Journal of Environmental …, 2012 - scirp.org
Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean
concentration gradient. This assumption, along with the equation of continuity, leads to the …

Multi-point source identification of sudden water pollution accidents in surface waters based on differential evolution and Metropolis–Hastings–Markov Chain Monte …

H Yang, D Shao, B Liu, J Huang, X Ye - … Environmental Research and Risk …, 2016 - Springer
Sudden water pollution accidents in surface waters occur with increasing frequency. These
accidents significantly threaten people's health and lives. To prevent the diffusion of …

Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform

AS Kim - Scientific reports, 2020 - nature.com
Transient mass-transfer phenomena occurring in natural and engineered systems consist of
convection, diffusion, and reaction processes. The coupled phenomena can be described by …

Solute transport along temporally and spatially dependent flows through horizontal semi-infinite media: dispersion proportional to square of velocity

DK Jaiswal, A Kumar, N Kumar… - Journal of Hydrologic …, 2011 - ascelibrary.org
According to the hydrodynamic dispersion theories, the dispersion parameter is proportional
to a power n of the velocity; the power ranges between 1 and 2. Based on the value n= 1 …

Analytical solutions of nonlinear and variable-parameter transport equations for verification of numerical solvers

K Zamani, FA Bombardelli - Environmental Fluid Mechanics, 2014 - Springer
All numerical codes developed to solve the advection–diffusion-reaction (ADR) equation
need to be verified before they are moved to the operational phase. In this paper, we initially …

Contaminant concentration prediction along unsteady groundwater flow

MK Singh, P Kumari - Modelling and Simulation of Diffusive Processes …, 2014 - Springer
One-dimensional model describing contaminant concentration pattern, governed by
advective-diffusive process, is discussed in the present chapter. Solute mass dispersion …

Semianalytical solutions for one-dimensional unsteady nonequilibrium suspended sediment transport in channels with arbitrary eddy viscosity distributions and …

X Liu, M Nayamatullah - Journal of Hydraulic Engineering, 2014 - ascelibrary.org
This paper presents a new semianalytical approach for the solution of suspended sediment
transport in channels under uniform conditions using generalized integral transform …

New approach to solving the atmospheric pollutant dispersion equation using fractional derivatives

D Moreira, P Xavier, A Palmeira… - International Journal of …, 2019 - Elsevier
In atmospheric environments, traditional differential equations do not adequately describe
the problem of turbulent diffusion because the usual derivatives are not well defined in the …

Analytical solution of the advection-diffusion equation for a ground-level finite area source

YS Park, JJ Baik - Atmospheric Environment, 2008 - Elsevier
An advection-diffusion equation for a ground-level finite area source is solved analytically in
a closed form using the superposition method. Power laws are assumed for height …