Case No.

Purpose

Horizontal Resol.

(Dx, Dy)

Vertical Resolution

Baroclinic Pressure Gradient

Vertical Mixing

Horizontal Mixing

Other

 

Levels

Spacing1

1

Base Case

2 km

60

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

 

2

Bathymetry

2 km

60

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

Smith & Sandwell

3

Hydrography

2 km

60

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

Kunze

4

Hydrography

1 km

60

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

Kunze

5

Horizontal Resolution

4 km

30

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

 

6

Horizontal Resolution

1 km

60

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

 

7

Vertical Resolution

2 km

30

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

 

8

Vertical Resolution

2 km

90

uneven

(100,2,.5)

SDJ

LMD

2nd Order Laplacian

 

9

Vertical Resolution

2 km

60

even

(400,1,1)

SDJ

LMD

2nd Order Laplacian

 

10

Vertical Resolution

2 km

60

even

(100,1,1)

SDJ

LMD

2nd Order Laplacian

 

11

Vertical Resolution

2 km

60

uneven (100, 2, 1)

SDJ

LMD

2nd Order Laplacian

 

12

Vertical Resolution

2 km

60

uneven (100, 4, 1)

SDJ

LMD

2nd Order Laplacian

 

13

Baroclinic Pressure Gradient

2 km

60

uneven

(100,2,.5)

Weighted Density Jacobian

LMD

2nd Order Laplacian

 

14

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Brünt-Väisäla

2nd Order Laplacian

 

15

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Mellor-Yamada 2.5

2nd Order Laplacian

 

16

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Pacanowski-Philander

2nd Order Laplacian

 

17

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

LOAM

2nd Order Laplacian

 

18

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

LMD - SSCW

2nd Order Laplacian

 

19

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Generic Length Scale: k-w

2nd Order Laplacian

 

20

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Generic Length Scale: k-e

2nd Order Laplacian

 

21

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Generic Length Scale: k-kl

2nd Order Laplacian

 

22

Vertical Mixing

2 km

60

uneven

(100,2,.5)

SDJ

Generic Length Scale: gen

2nd Order Laplacian

 

 

 

Parameter Investigated

 

M2

(cm s-1)

S2

(cm s-1)

K1

(cm s-1)

O1

(cm s-1)

Normalized

Sum

 

 

Base Case

Dx, Dy =2 km;

60 levels;

unevenly spaced;

Splines Density Jacobian BPG;

LMD Mixing

 

 

2.59

 

 

 

0.81

 

 

5.19

 

 

 

1.57

 

 

4.00

Bathymetry

Smith & Sandwell

2.59

0.69

5.12

1.38

3.72

Hydrography

Kunze, 2 km

2.57

0.80

4.69

1.50

3.84

Kunze, 1 km

2.18

0.68

4.43

1.28

3.36

 

Horizontal Resolution

Dx, Dy =4 km

(30 levels)

3.11

0.85

5.83

1.71

4.46

Dx, Dy =1 km

(60 levels)

1.91

0.67

3.95

1.25

3.13

Dx, Dy =0.5 km

(60 levels)

 

 

 

 

 

 

 

 

 

 

 

 

 

Vertical Resolution and Spacing

30 levels

2.59

0.75

5.20

1.60

3.96

90 levels

2.54

0.81

5.25

1.58

4.00

60 levels;

thermocline = 400m

qS=1, qB=1

 

2.64

 

0.59

 

4.90

 

1.64

 

3.74

60 levels;

thermocline = 100m

qS=1, qB=1

 

2.65

 

0.73

 

5.25

 

1.74

 

4.04

60 levels;

thermocline = 100m

qS=2, qB=1

 

2.71

 

0.72

 

5.35

 

1.57

 

3.97

60 levels;

thermocline = 100m

qS=4, qB=1

 

2.68

 

0.71

 

5.33

 

1.67

 

4.01

Baroclinic Pressure Gradient

Spline Density Jacobian BPG

2.48

0.70

5.19

1.51

3.79

 

 

 

Vertical Mixing

Brünt-Väisäla Frequency

2.63

0.77

5.08

1.39

3.84

Mellor-Yamada 2.5

2.56

0.87

4.78

1.33

3.84

Pacanowski-Philander

2.59

0.63

5.34

1.60

3.83

LOAM Mixing

2.56

0.87

4.78

1.33

3.84

LMD - SSCW

2.43

0.72

5.40

1.61

3.90

LMD-no BKPP

2.48

0.70

5.19

1.51

3.79

GLS Mixing: k-w

2.61

0.72

5.22

1.77

4.03

GLS Mixing: k-e

2.73

0.70

5.33

1.53

3.93

GLS Mixing: k-kl

2.47

1.11

4.75

1.14

3.97

GLS Mixing: gen

2.73

0.64

5.51

1.60

3.93

 

 

 

Horizontal Mixing

No Mixing

2.67

0.85

5.33

1.70

4.20

10-4 m2 s-1

2.64

0.70

5.26

1.42

3.80

10-2 m2 s-1

2.58

0.78

5.27

1.59

3.99

10-1 m2 s-1

2.69

0.83

5.33

1.54

4.08

Mixing along sigma

2.62

0.74

5.11

1.40

3.81

Mixing along iso

2.59

0.81

5.19

1.57

4.00

4th order

2.59

0.81

5.19

1.57

4.00

Other

5o S

2.95

0.63

5.80

1.84

4.21

Best try: fw (gls:gen)

Gls:gen

1.87

0.66

4.44

1.30

3.22

Best try: fo (MY)

MY

1.85

0.60

4.49

1.26

3.13

1 mixed layer depth, qS, qB

 

 

 

Parameter Investigated

 

Minor Axis

 (cm s-1)

Inclination

(o)

M2

S2

K1

O1

Normal-

ized

Sum

M2

S2

K1

O1

Normal-

ized

Sum

 

 

Base Case

Dx, Dy =2 km;

60 levels;

unevenly spaced;

Splines Density Jacobian BPG;

LMD Mixing

 

 

1.52

 

 

 

0.62

 

 

3.47

 

 

0.81

 

 

4.00

 

 

31

 

 

49

 

 

38

 

 

31

 

 

4.00

Bathymetry

Smith & Sandwell

1.47

0.62

3.48

0.81

3.68

31

52

48

49

4.92

Hydrography

Kunze, 2 km

1.53

0.51

3.21

0.80

3.75

33

56

53

36

4.80

Kunze, 1 km

1.44

0.44

2.85

0.70

3.34

34

57

31

35

4.20

 

Horizontal Resolution

Dx, Dy =4 km

(30 levels)

1.81

0.44

3.66

0.94

4.11

35

47

45

49

4.88

Dx, Dy =1 km

(60 levels)

1.44

0.49

2.63

0.77

3.44

36

57

40

38

4.63

Dx, Dy =0.5 km

(60 levels)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Vertical Resolution and Spacing

30 levels

1.57

0.53

3.43

0.84

3.91

34

56

35

34

4.26

90 levels

1.56

0.56

3.40

0.66

3.71

34

54

37

29

4.17

60 levels;

mld1 = 400m

qS=1, qB=1

 

1.63

 

0.49

 

3.19

 

0.89

 

3.89

 

33

 

47

 

29

 

43

 

4.18

60 levels;

mld1 = 100m

qS=1, qB=1

 

1.49

 

0.51

 

3.41

 

0.78

 

3.74

 

30

 

52

 

35

 

47

 

4.47

60 levels;

mld1 = 100m

qS=2, qB=1

 

1.61

 

0.57

 

3.52

 

0.83

 

4.02

 

34

 

54

 

31

 

33

 

4.09

60 levels;

mld1 = 100m

qS=4, qB=1

 

1.51

 

0.44

 

3.39

 

0.90

 

3.80

 

32

 

52

 

34

 

36

 

4.14

Baroclinic Pressure Gradient

Spline Density Jacobian BPG

1.84

0.50

3.42

0.77

3.96

33

51

31

34

4.04

 

 

 

Vertical Mixing

Brünt-Väisäla Frequency Mixing

1.73

0.45

3.50

0.77

3.82

35

56

38

31

4.30

Mellor-Yamada 2.5 Level Closure

1.63

0.50

3.16

0.91

3.91

33

47

37

43

4.42

Pacanowski-Philander Mixing

1.74

0.52

3.49

0.71

3.86

33

50

39

41

4.49

LOAM Mixing

1.63

0.50

3.16

0.91

3.91

33

47

37

43

4.42

LMD -SSCW

1.82

0.47

3.42

0.77

3.87

33

50

34

28

3.94

LMD-no BKPP

1.84

0.50

3.42

0.77

3.96

33

51

31

34

4.04

GLS Mixing: k-w

1.60

0.46

3.40

0.90

3.87

34

57

34

30

4.14

GLS Mixing: k-e

1.67

0.45

3.42

0.80

3.80

34

56

44

40

4.69

GLS Mixing: k-kl

1.34

0.64

3.51

0.86

3.98

34

47

48

38

4.57

GLS Mixing: gen

1.68

0.45

3.62

0.78

3.84

34

59

38

32

4.37

 

 

Horizontal Mixing

No mix

1.67

0.48

3.45

0.96

4.05

35

55

40

33

4.41

10-4 m2 s-1

1.45

0.57

3.49

0.85

3.91

35

53

36

35

4.31

10-2 m2 s-1

1.59

0.49

3.36

0.78

3.76

35

48

40

38

4.46

10-1 m2 s-1

1.69

0.53

3.48

0.90

4.07

34

54

40

32

4.32

Mixing along sigma

1.73

0.43

3.52

0.74

3.76

34

54

41

33

4.37

Mixing along iso

1.52

0.62

3.48

0.81

4.00

31

49

38

31

4.00

4th Order

1.52

0.62

3.48

0.81

4.00

31

49

38

31

4.00

Other

5o S

1.74

0.48

3.66

0.84

4.01

33

51

51

46

4.96

Best:  fw

Gls:gen

1.66

0.46

2.81

0.90

3.75

35

57

34

33

4.26

Best:  fo

MY

1.73

0.46

2.92

0.91

3.84

35

59

32

20

4.16