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Table 3 Main results for the optimization process

From: Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

 

Problem 1

Problem 2

Problem 3

Problem 4

 

IGA

POD

IGA

POD

IGA

POD

IGA

POD

Opt. CPU time (s)

90

2.5

280

2.5

151

7

1994

5

Opt. speedup

–

36

–

112

–

21

–

400

\(\Vert \varvec{\mu } - \varvec{\mu }^* \Vert \)

\(10^{-7}\)

\(10^{-4}\)

\(10^{-5}\)

\(10^{-2}\)

\(10^{-5}\)

\(10^{-3}\)

\(10^{-6}\)

\(10^{-2}\)

Pressure drop (J)

80

79.997

80

79.997

80

80.0003

126.43

126.43

Relative error on J

0

\(O\,(10^{-5})\)

0

\(O\,(10^{-5})\)

0

\(O\,(10^{-6})\)

0

\(O\,(10^{-6})\)