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A balanced expansion technique for constructing accurate finite difference advection schemes
Author(s) -
Chan Robert K.C.
Publication year - 1978
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.1620120705
Subject(s) - advection , finite difference , mathematics , finite difference method , construct (python library) , phase (matter) , calculus (dental) , mathematical analysis , computer science , physics , medicine , dentistry , quantum mechanics , thermodynamics , programming language
A new procedure, called the Balanced Expansion Technique (BET), is employed to construct accurate finite difference advection schemes that, for the model equation considered, are neutrally stable. By applying BET systematically, the phase error can be made as small as one wishes. Test calculations with one‐dimensional problems have confirmed the expected accuracy of these methods.