IDEAS home Printed from
   My bibliography  Save this article

Time Dependent Advection Diffusion Equation in Two Dimensions


  • Khaled S. M Essa
  • Sawsan E. M Elsaid
  • Fawzia Mubarak


In this work, the advection diffusion equation is solved in two dimensional space (x, z) which depends on time using Laplace transform technique to evaluate crosswind integrated of pollutant concentration per emission rate. Two schemes of the eddy diffusivities to get two models (1&2) were applied to evaluate crosswind integrated concentration per emission rate according to boundary layer parameterization. Terabassi et al model was taken as a reference model. Comparison between these two models, reference model and observed data were carried out. The observed Copenhagen data set is composed of SF6 tracer due to dispersion experiments carried out in Northern Copenhagen, 20 minutes averaged measured concentrations were used.One finds all models were inside a factor of two. Model 2 and reference model were better when compared with the observed data than model 1 with respect to NMSE. The two models are better with respect to FB than reference model. All models were good with respect to the correlation coefficient except model 1.Finally, we can conclude that predicted (Cp) crosswind-integrated concentration normalized with the emission source rate for all models were inside a factor of two with observed data (Co). Crosswind- integrated concentration normalized with the emission source rate for all models were good when compared with observed data via downwind distances.

Suggested Citation

  • Khaled S. M Essa & Sawsan E. M Elsaid & Fawzia Mubarak, 2015. "Time Dependent Advection Diffusion Equation in Two Dimensions," Journal of Atmosphere, Conscientia Beam, vol. 1(1), pages 8-16.
  • Handle: RePEc:pkp:jouatm:v:1:y:2015:i:1:p:8-16:id:2383

    Download full text from publisher

    File URL:
    Download Restriction: no


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pkp:jouatm:v:1:y:2015:i:1:p:8-16:id:2383. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Dim Michael (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.