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Numerical solution of the transport equation for passive contaminants in three‐dimensional complex terrains
Author(s) -
Glekas J.,
Bergeles G.,
Athanassiadis N.
Publication year - 1987
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650070403
Subject(s) - convergence (economics) , terrain , flexibility (engineering) , convection–diffusion equation , cube (algebra) , finite difference method , mathematics , finite difference , computer science , heat equation , code (set theory) , mathematical analysis , mathematical optimization , algorithm , geometry , set (abstract data type) , statistics , ecology , economics , biology , economic growth , programming language
This paper presents a numerical solution of the transport equation for heat and species in complex three‐dimensional spaces. The solution domain of the equation is transformed into a cube, as also is the governing equation; the resultant equation is solved in the transformed space via a finite difference technique. The validity of the developed computer code is tested by predicting test cases for which either analytical or reliable experimental results exist. Results are also presented for the rate of convergence of the method and the computer storage requirements, from which the validity, the flexibility and the economy of the developed method are proved for flows in real three‐dimensional complex terrains.