Presented new technique of advection numerical modelling may be attributed to methods simulating continuous flow by the motion of ensemble of discrete elements. To these methods belong “particles-in-cell” techniques,1 Egan-Mahoney’s,2 “large particles” by Belotserckovsky3. The scheme considered differs from the, indicated methods in the following: 1.Pollution is imitated by discrete extended mass elements, which widths are 2 times higher than grid interval. In the course of the motion elements are imposed on each other.2.The ensemble of these elements unambiguously corresponds to continuous distribution of grid elements two times narrower which result from conditions of first three moments conservation. (for one - dimensional variant) of the elements and defines current mass distribution with the grid.3.“Summing” of mobile elements which mass centers hit one cell is a transformation of these elements distribution again with conservation of the first three moments. In case when elements number is not growing (instantaneous source), when computer resources provide operations with full array of elements the “summing” procedure is omitted and in this case the algorithm is particularly simple, effective and its precision is increased.
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- Linear Advection Scheme for Air Pollution Transport Modelling from Individual Sources
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