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FURTHER DISCUSSION OF NUMERICAL ERRORS IN CFD
Author(s) -
FERZIGER JOEL H.,
PERIĆ MILOVAN
Publication year - 1996
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/(sici)1097-0363(19961230)23:12<1263::aid-fld478>3.0.co;2-v
Subject(s) - discretization , computational fluid dynamics , convergence (economics) , mathematics , discretization error , eigenvalues and eigenvectors , computer science , numerical analysis , mathematical optimization , mathematical analysis , mechanics , physics , quantum mechanics , economics , economic growth
The methods of estimating numerical errors given in an earlier paper are extended in directions that make them useful in actual CFD applications. In particular, the method of estimating convergence error (the error due to insufficient iteration) is extended to allow the possibility of complex eigenvalues; an ad hoc method that can be applied to any case is also given. For the discretization error, which arises from the numerical approximation of the differential equation(s), methods that can be used on non‐uniform drids are presented; they can be extended to unstructured grids as well. The utility of these methods is demonstrated for linear problems as well as solutions of the Navier‐Stokes equations. The examples show that the estimation of errors is neither difficult nor expensive.