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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1810 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1810 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1810 archive 351 disk0/00/00/17/77 2016-01-15 01:50:28 2021-08-27 17:10:33 2016-01-15 01:50:28 monograph show 2 Runca E. AL1165 Melli P. AL0261 Sardei F. pub iis_cli iis_env iis_met prog_ren A finite difference and a Galerkin type scheme are compared with reference to a very accurate solution describing time dependent advection and diffusion of air pollutants from a line source in an atmosphere vertically stratified and limited by an inversion layer. The accurate solution was achieved by applying the finite difference scheme on a very refined grid with a very small time step. Grid size and time step were defined according to stability and accuracy criteria discussed in the text. It is found that for the problem considered, the two methods can be considered equally accurate. However, the Galerkin method gives larger areas of small errors close to the source, This was assumed to be partly due to the different way the source term is taken into account by the two methods. An improvement of the accuracy of the finite difference scheme was achieved by approximating, at every step, the contribution of the source term by a Gaussian puff moving and diffusing with velocity and diffusivity of the source location, instead of utilizing a stepwise function for the numerical approximation of the delta function representing the source term. 1981-09 published CP-81-026 CP-81-026 2345 2184 public collaborative_paper IIASA, Laxenburg, Austria 39 FALSE info:eu-repo/semantics/book