Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 228, Issue 2, Pages 361-386Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.09.015
Keywords
ISAT; Function approximation; Tabulation
Funding
- National Science Foundation [CBET-0426787]
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In situ adaptive tabulation (ISAT) is a proven storage/retrieval method which efficiently provides accurate approximations to high-dimensional functions which are computationally expensive to evaluate. Previous applications of ISAT to computations Of turbulent combustion have resulted in speed-ups of up to a thousand. In this paper, improvements to the original ISAT algorithm are described and demonstrated using two test problems. The principal improvements are in the table-searching strategies and the addition of an error checking and correction algorithm. Compared to an earlier version of ISAT, reductions in CPU time and storage requirements by factors of 2 and 5, respectively, are observed for the most challenging, 54-dimensional test problem. (C) 2008 Elsevier Inc. All rights reserved.
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