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An efficient and robust method for parameterized nonintrusive reduced‐order modeling
Author(s) -
Kostorz Wawrzyniec J.,
Muggeridge Ann H.,
Jackson Matthew D.
Publication year - 2020
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.6461
Subject(s) - parameterized complexity , parametric statistics , interpolation (computer graphics) , interpretation (philosophy) , algorithm , mathematics , computer science , mathematical optimization , motion (physics) , artificial intelligence , statistics , programming language
Summary A method of constructing parameterized nonintrusive reduced‐order models (NIROMs) is given. The approach relies on a geometrical interpretation of NIROM, requires only a single layer of interpolation to be applied for both system state and parametric dependence of the model and is applicable to systems characterized by any number of parameters spanning arbitrary orders of magnitude. The method is applied to three representative test problems and evaluated in terms of accuracy and speed, showing good performance.
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