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Time

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Analytical solutionCT3-LDB, δ

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CT3-LDB, δMDC

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a) Boundary sample point

0 1 2 3 4 5 6 7 8

Time

0

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1

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τxx

Analytical solutionCT3-LDB, δ

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CT3-LDB, δMDC

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b) Interior sample point

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Analytical solutionCT3-LDB, δ

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CT3-LDB, δMDC

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a) Boundary sample point

0 1 2 3 4 5 6 7 8

Time

-2

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Analytical solutionCT3-LDB, δ

MDC = 1

CT3-LDB, δMDC

= 1 - δT

b) Interior sample point

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0 1 2 3 4 5 6 7 8

Time

0

5

10

15

20

25

30

35

τxx

Analytical solutionCT3-LDB, δ

MDC = 1 - δ

T

a) Boundary sample point

0 1 2 3 4 5 6 7 8

Time

0

0.5

1

1.5

2

τxx

Analytical solutionCT3-LDB, δ

MDC = 1 - δ

T

b) Interior sample point

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10-4

10-3

10-2

10-1

(∆t, h)

10-4

10-3

10-2

10-1

Erro

r nor

m

10-4

10-3

10-2

10-110

-4

10-3

10-2

10-1

(∆t, h) convergence

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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

Time

0

0.5

1

1.5

Ux(y)

We = 0.3We = 1We = 2

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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

Time

0

0.05

0.1

0.15

τ xx

We = 0.3We = 1We = 2

a) Transient wall-stress, Inlet

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

Time

0

0.05

0.1

0.15

0.2

0.25

τ xy

We = 0.3We = 1We = 2

b) Transient wall-stress, Inlet

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Time

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-200

-100

0

100

200

300

We=0.3, Pressure-gradientWe=1.0, Pressure-gradientWe=2.0, Pressure-gradient

a) Transient pressure-gradient*4, Inlet

0 1 2 3 4 5

Time

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-200

-100

0

100

200

300

We=0.3, PressureWe=1.0, PressureWe=2.0, PressureWe=0.3, Pressure-gradientWe=1.0, Pressure-gradientWe=2.0, Pressure-gradient

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