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An estimation of the sensitivity of numerical error norm using adjoint model
Author(s) -
Alekseev A. K.,
Navon I. M.
Publication year - 2010
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.2137
Subject(s) - truncation error , stencil , mathematics , richardson extrapolation , extrapolation , truncation (statistics) , sensitivity (control systems) , round off error , finite difference , norm (philosophy) , tangent , error analysis , approximation error , algorithm , mathematical analysis , geometry , statistics , computational science , electronic engineering , political science , law , engineering
A posteriori estimation of the numerical error sensitivity to the local truncation error is addressed using adjoint model endowed with the information on the error field. The numerical error is estimated from the solution of the linear tangent model (LTM) or from a Richardson extrapolation. The local truncation error used in the LTM is obtained by the action of a high‐order finite‐difference stencil on the field computed by the main (low‐order accuracy) algorithm. Copyright © 2009 John Wiley & Sons, Ltd.