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Table 2 Evaluation of the position of the recirculation zones of the two new geometries and their relative errors, Err1 for our method and Err2 for the Gappy-POD, with respect to the LES ones

From: An updated Gappy-POD to capture non-parameterized geometrical variation in fluid dynamics problems

Config.

HF

UGPOD

Gappy-POD

Err1 (%)

Err2 (%)

G1: \(x=35\) mm

\(y_{g1}=-\,0.0211\)

\(y_{g1}=-\,0.019\)

\(y_{g1}=-\,0.0246\)

6

16

G1: \(x=35\) mm

\(y_{g2}=0.022 \)

\(y_{g2}=0.020\)

\(y_{g2}=0.023\)

6

6

G1: \(x=50\) mm

\(y_{g1}=-\,0.0256\)

\(y_{g1}=-\,0.024\)

\(y_{g1}=-\,0.031\)

5

22

G1: \(x=50\) mm

\(y_{g2}=0.03\)

\(y_{g2}=0.028\)

\(y_{g2}=0.032\)

6

9

G1: \(x=55\) mm

\(y_{g1}=-\,0.027\)

\(y_{g1}=-\,0.024\)

\(y_{g1}=-\,0.031\)

10

14

G1: \(x=55\) mm

\(y_{g2}=0.028\)

\(y_{g2}=0.031\)

\(y_{g2}=0.032\)

10

13

G2: \(x=35\) mm

\(y_{g1}=-\,0.021\)

\(y_{g1}=-\,0.020\)

\(y_{g1}=-\,0.024\)

5

15

G2: \(x=35\) mm

\(y_{g2}=0.0195\)

\(y_{g2}=0.0197\)

\(y_{g2}=0.0234\)

0.9

19

G2: \(x=50\) mm

\(y_{g1}=-\,0.027\)

\(y_{g1}=-\,0.025\)

\(y_{g1}=-\,0.031\)

8

14

G2: \(x=50\) mm

\(y_{g2}=0.023\)

\(y_{g2}=0.026\)

\(y_{g2}=0.032\)

16

41

G2: \(x=55\) mm

\(y_{g1}=-\,0.029\)

\(y_{g1}=-\,0.028\)

\(y_{g1}=-\,0.031\)

4

6

G2: \(x=55\) mm

\(y_{g2}=0.027\)

\(y_{g2}=0.031\)

\(y_{g2}=0.032\)

16

20