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Notes on Accuracy of Finite-Volume Discretization Schemes on Irregular GridsTruncation-error analysis is a reliable tool in predicting convergence rates of discretization errors on regular smooth grids. However, it is often misleading in application to finite-volume discretization schemes on irregular (e.g., unstructured) grids. Convergence of truncation errors severely degrades on general irregular grids; a design-order convergence can be achieved only on grids with a certain degree of geometric regularity. Such degradation of truncation-error convergence does not necessarily imply a lower-order convergence of discretization errors. In these notes, irregular-grid computations demonstrate that the design-order discretization-error convergence can be achieved even when truncation errors exhibit a lower-order convergence or, in some cases, do not converge at all.
Document ID
20110011294
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Diskin, Boris (National Inst. of Aerospace Hampton, VA, United States)
Thomas, James L. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 25, 2013
Publication Date
January 1, 2011
Subject Category
Mathematical And Computer Sciences (General)
Report/Patent Number
NF1676L-8756
Funding Number(s)
WBS: WBS 599489
Distribution Limits
Public
Copyright
Public Use Permitted.

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