Relevance measure for

(1)

Flow around a Square Cylinder

Velocity Vorticity Rate of strain Relevance high velocity

magnitude positive Q high Haimes &

Kenwright Coherency c_dot_v 2^nd moment of

Euclidean norm c_diff_v

Coh. thresh. 0.06 0.1 0.16

(2)

1

0

relevance

0

u

0.9 1.15 1.35

relevance

0 1

Relevance measure for

Velocity

(3)

relevance

0 1

Relevance measure for

Vorticity

1

‐1.830 0.25 0.5 5.48

relevance

Q

0

(4)

relevance

0 1

Relevance measure for Rate of Strain

1

00

HK

0.33 0.73 2.38

relevance

(5)

Result

(6)

Flow in a Box

Velocity Vorticity Rate of strain Relevance upstream

velocity negative λ₂ negative Q Coherency c_dot_v c_diff_v entropy of

Frobenius norm

Coh. thresh. 0.1 0.15 0.3

(7)

1

0

relevance

0

u

10 21 54

relevance

0 1

Relevance measure for

Velocity

(8)

relevance

λ

₂

0 1

1

0‐2ê+6 ‐1.7ê+5 ‐1ê+5 0 6.2ê+6

relevance

Relevance measure for

Vorticity

(9)

relevance

‐6.5^e+6

Q

‐9ê+4 ‐5ê+4 0 1.9ê+6

0 1

1

0

relevance

Relevance

measure for

Rate of Strain

(10)

Result

(11)

(12)

(13)

Exhaust Manifold

Velocity Vorticity Rate of strain Relevance upstream

velocity negative λ₂ negative Q Coherency c_dot_v entropy of

Euclidean norm c_dot_v

Coh. thresh. 0.25 0.4 0.4

(14)

Relevance measure for

Velocity u

_x

‐92 ‐30 ‐2 222

re le va n ce

0 1

1

0

relevance

u

_y

‐134 0 20 43 88

We identify the upstream velocity as the max of these relevance measures

(15)

Relevance measure for

Vorticity

‐2144

λ

₂

‐150 ‐50 0 777

re le va n ce

0 1

1

0

relevance

(16)

Q

re le va n ce

0 1

1

0

relevance

Relevance measure for Rate of Strain

‐1660 ‐500 ‐35 2535

(17)

Result

(18)