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Exterior flow with an isoparametric Hermite cubic element
Author(s) -
Williams B. R.,
Morton K. W.
Publication year - 1979
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.1620141006
Subject(s) - hermite polynomials , mathematics , jacobian matrix and determinant , flow (mathematics) , simple (philosophy) , mathematical analysis , cylinder , element (criminal law) , transformation (genetics) , geometry , philosophy , biochemistry , chemistry , epistemology , political science , law , gene
An isoparametric Hermite cubic element is developed for calculating compressible flows past complex aerofoils in two dimensions. A simple intermediate transformation is used to derive an isoparametric transform whose Jacobian is always non‐zero and which attains very high accuracy on the boundary. Application of the method and assessment of the error is illustrated by flow past a circular cylinder.