Premium
Convergence and accuracy of three finite difference schemes for a two‐dimensional conduction and convection problem
Author(s) -
Runchal A. K.
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620040408
Subject(s) - convergence (economics) , mathematics , thermal conduction , finite difference , convection , simple (philosophy) , upwind scheme , finite difference method , finite difference scheme , point (geometry) , finite difference coefficient , scheme (mathematics) , extension (predicate logic) , mathematical analysis , finite element method , geometry , computer science , mechanics , physics , mixed finite element method , thermodynamics , philosophy , epistemology , discretization , economics , programming language , economic growth
The convergence and accuracy characteristics of two commonly used finite difference schemes, namely the central and the upwind difference, are compared with a scheme recently proposed by Spalding. For a simple two‐dimensional problem with conduction and convection, it is shown that the scheme proposed by Spalding is preferable choice both from the point of view of accuracy and that of the convergence. The extension of the conclusion to a general case must await further substantiation.