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

2008 ◽  
Vol 42 (40) ◽  
pp. 9063-9069 ◽  
Author(s):  
Young-San Park ◽  
Jong-Jin Baik
Keyword(s):  
Analytical Solution ◽  
Diffusion Equation ◽  
Ground Level ◽  
Finite Area ◽  
Area Source ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

scholarly journals INFLUENCE OF SETTLING VELOCITY OF PARTICULATE MATTER ON GROUND LEVEL CONCENTRATIONS

2016 ◽  
Vol 38 ◽  
pp. 560 ◽  
Author(s):  
Tiziano Tirabassi ◽  
Davidson Martin Moreira
Keyword(s):  
Particulate Matter ◽  
Analytical Solution ◽  
Diffusion Equation ◽  
Concentration Distribution ◽  
Settling Velocity ◽  
Atmospheric Stability ◽  
Ground Level ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Ground Level Concentration

The settling velocity and deposition of particulate matter on the earth's surface has been introduced in an analytical solution of advection-diffusion equation. The influence of particle diameters in ground level concentration distribution was investigated in function of different atmospheric stability condiyions 

scholarly journals A simple formula for the evaluation of value and position of ground level concentration from a point source

2018 ◽  
Vol 40 ◽  
pp. 69
Author(s):  
Tiziano Tirabassi ◽  
Daniela Buske
Keyword(s):  
Analytical Solution ◽  
Diffusion Equation ◽  
Point Source ◽  
Simple Formula ◽  
Ground Level ◽  
Approximate Expression ◽  
Simple Expression ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Ground Level Concentration

After setting realistic scenarios of the wind and diffusivity parameterizations the Ground Level Concentration is worked out by an analytical solution of the advection-diffusion equation, then an explicit approximate expression is provided for it allowing a simple expression for the position and value of the maximum.

An Analytical Methodology to Air Pollution Modelling in Atmosphere

2019 ◽  
Vol 396 ◽  
pp. 91-98 ◽  
Author(s):  
Régis S. Quadros ◽  
Glênio A. Gonçalves ◽  
Daniela Buske ◽  
Guilherme J. Weymar
Keyword(s):  
Analytical Solution ◽  
Diffusion Equation ◽  
Separation Of Variables ◽  
Three Dimensional ◽  
Numerical Inversion ◽  
Analytical Methodology ◽  
Air Pollution Modelling ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Using Data

This work presents an analytical solution for the transient three-dimensional advection-diffusion equation to simulate the dispersion of pollutants in the atmosphere. The solution of the advection-diffusion equation is obtained analytically using a combination of the methods of separation of variables and GILTT. The main advantage is that the presented solution avoids a numerical inversion carried out in previous works of the literature, being by this way a totally analytical solution, less than a summation truncation. Initial numerical simulations and statistical comparisons using data from the Copenhagen experiment are presented and prove the good performance of the model.

Analytical Solution of One Dimension Time Dependent Advection- Diffusion Equation

2016 ◽  
Vol 4 (2) ◽  
pp. 67-73
Author(s):  
A. A. Marrouf ◽  
Maha S. El-Otaify ◽  
Adel S. Mohamed ◽  
Galal Ismail ◽  
Khaled S. M. Essa
Keyword(s):  
Analytical Solution ◽  
Diffusion Equation ◽  
Time Dependent ◽  
One Dimension ◽  
Advection Diffusion Equation ◽  
Advection Diffusion
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