the relative roles of electromagnetic and exb ... · 66404: simplest test case. imposed circular...

R. Bravenec, Fourth State Research!

J. Citrin, FOM Institute DIFFER, The Netherlands, CEA Cadarche!

P. Mantica, Instituto di Fisica del Plasma ‘‘P. Caldirola,’’ Milan, Italy!

J. Garcia, CEA, IRFM, Saint Paul Lez Durance, France!

M. J. Pueschel, U. Wisconsin, Madison!

J. Candy, E. Belli, G. Staebler, General Atomics!

T. Goerler, Max Planck Institute for Plasma Physics, Garching, Germany!

M. Barnes, Oxford University, U.K.!

The Relative Roles of Electromagnetic and ExB Stabilization in JET High-Performance Discharges!

GYRO [1] simulations to verify the GENE [2] predictions that: Fast-ion-enhanced electromagnetic stabilization is the main contributor to the low ion heat flux seen in selected JET discharges:

66404: Simplest test case. Imposed circular cross section, no impurities. Compare electrostatic (ES) and electromagnetic (EM) [3]

73224: Shaped plasma, EM. Compare 3 and 5 kinetic species (2 additional species are hot D beam and He3 ions). Benchmark fast ion enhanced EM-stabilization and relative impact of ExB [3,4]

75225: High performance hybrid scenario. Shaped, 4 kinetic species (including D fast ions). Compare ES and EM and relative impact of ExB [5]"

[1] J. Candy J. and R.E. Waltz, J. Comput. Phys. 186 (2003) 545 [2] F. Jenko et al., Phys. Plasmas 7, 1904 (2000); www.genecode.org [3] J. Citrin et al., Phys. Rev. Lett. 111, 155001 (2013)[4] P. Mantica et al., Phys. Rev. Lett. 107, 135004 (2011)[5] J.Citrin et al., Plasma Phys. Control. Fusion 57 (2015) 014032[6] J. Garcia et al., Nucl. Fusion 55 (2015) 053007[7] C. Challis et al., Nucl. Fusion 55 (2015) 053031"

This work is vital for verifying the physics basis for extrapolation of high-beta scenarios towards JET DT and reactors [6,7]"

“Full Physics”!

!  δB⊥ (δB|| ignored except for shot 75225 with full drift)"!  trapped and passing electrons"!  parametric plasma shaping: vertical elongation κ, triangu-

larity δ, etc. (Miller model)!!  electron collisions (Lorentz model)"!  one dynamic impurity (C6+), hot beam ions (shots 73224,

75225), and hot He3 (shot 73224)"!  E×B rotation including parallel flow shear, from

measurements"

!  3 discharges analyzed here:""  Red indicates most significant differences among shots.""  Circular cross-section, no impurities imposed on shot 66404"

*3 species"

JET Discharge Parameters!

73224, 5 species:"

JET 66404, 1.0 s, l = 0.33 ES_circ_noimp

0.0 0.2 0.4 0.6 0.8 1.0 1.2-1.0

-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)


0.0 0.2 0.4 0.6 0.8 1.0 1.2-1.0

-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)


0.0 0.2 0.4 0.6 0.8 1.0 1.2-1.0

-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

(a)

GYROGS2

GENE

0.0 0.2 0.4 0.6 0.8 1.0 1.2kels

0.000.05

0.10

0.15

0.20

0.250.30

a(c s

/a)

0.0 0.2 0.4 0.6 0.8 1.0 1.2kels

0.000.05

0.10

0.15

0.20

0.250.30

a(c s

/a)

0.0 0.2 0.4 0.6 0.8 1.0 1.2kels

0.000.05

0.10

0.15

0.20

0.250.30

a(c s

/a)

GYROGS2

GENE(b)

JET 66404, 1.0 s, l = 0.33 circ_noimp

0.0 0.2 0.4 0.6 0.8 1.0-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

JET 66404, 1.0 s, l = 0.33 circ_noimp

0.0 0.2 0.4 0.6 0.8 1.0-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

JET 66404, 1.0 s, l = 0.33 circ_noimp

0.0 0.2 0.4 0.6 0.8 1.0-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

(a)

GYROGS2

GENE

0.0 0.2 0.4 0.6 0.8 1.0kels

0.00

0.05

0.10

0.15

0.20

a(c s

/a)

0.0 0.2 0.4 0.6 0.8 1.0kels

0.00

0.05

0.10

0.15

0.20

a(c s

/a)

0.0 0.2 0.4 0.6 0.8 1.0kels

0.00

0.05

0.10

0.15

0.20

a(c s

/a)

GYROGS2

GENE(b)

Linear Frequencies 66404!

!  Good agreement except near stability boundary"

kθρs kθρs ""

electrostatic ! !electromagnetic"

n = 3"

!  Excellent agreement"


-4 -2 0 2 40.00.20.40.60.81.01.2

Re(q

)

GYROGS2

GENE

n = 5

-4 -2 0 2 4e//

-0.15-0.10-0.050.000.050.10

Im(q

)

n = 5

JET 66404, 1.00 s, l = 0.33 circ_noimp

-6 -4 -2 0 2 4 6-0.20.00.20.40.60.81.01.2

Re(q

)

GYROGS2

GENE

n = 5

-6 -4 -2 0 2 4 6e//

-0.10.00.10.20.3

Im(q

)n = 5

Eigenfunctions 66404!

!  Good agreement" !  Good agreement"

kθρs ~ 0.5 kθρs ~ 0.5


JET shot 66404, 1.0 s, l = 0.33 circ_noimp

0 500 1000 15000

2

4

6

Qe/Q

gb

(a)

0 500 1000 15000

5

10

15

Qi/Q

gb

(b)

0 500 1000 15000.00.20.40.60.81.0

QC/Q

gb

(c)

0 500 1000 1500-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 500 1000 15000.0

0.5

1.0

1.5

Ke/K

gb

(e)

0 500 1000 1500t cs/a

0.0

0.5

1.0

1.5

Ki/K

gb

(f)

JET shot 66404, 1.0 s, l = 0.33 ES_circ_noim

0 200 400 600 80002468

10

Qe/Q

gb

(a)

0 200 400 600 8000

10

20

3040

Qi/Q

gb

(b)

0 200 400 600 8000.00.20.40.60.81.0

QC/Q

gb

(c)

0 200 400 600 800-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 200 400 600 8000.00.51.01.52.02.5

Ke/K

gb

(e)

0 200 400 600 800t cs/a

0.00.51.01.52.02.5

Ki/K

gb

(f)

"electrostatic "GYRO, GENE "electromagnetic"

Energy Fluxes 66404!

!  Excellent agreement" !  Fluxes reduced from ES case"

!  Significant differences between codes?"

"t cs/a "t cs/a"

ES electron energy"

ES ion energy"

ES imp energy"

i

JET shot 66404, 1.0 s, l = 0.33 circ_noimp

0 500 1000 15000

2

4

6

Qe/Q

gb

(a)

0 500 1000 15000

5

10

15

Qi/Q

gb

(b)

0 500 1000 15000.00.20.40.60.81.0

QC/Q

gb

(c)

0 500 1000 1500-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 500 1000 15000.0

0.5

1.0

1.5

Ke/K

gb

(e)

0 500 1000 1500t cs/a

0.0

0.5

1.0

1.5

Ki/K

gb

(f)

JET shot 66404, 1.0 s, l = 0.33 ES_circ_noim

0 200 400 600 80002468

10

Qe/Q

gb

(a)

0 200 400 600 8000

10

20

3040

Qi/Q

gb

(b)

0 200 400 600 8000.00.20.40.60.81.0

QC/Q

gb

(c)

0 200 400 600 800-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 200 400 600 8000.00.51.01.52.02.5

Ke/K

gb

(e)

0 200 400 600 800t cs/a

0.00.51.01.52.02.5

Ki/K

gb

(f)

Particle Fluxes 66404!

!  Good agreement" !  Significant differences between codes?"

"t cs/a "t cs/a"

EM electron energy"

ES electron particle"

ES ion particle"

i


Summary — 66404!

!  Clear reduction in linear growth rates and nonlinear fluxes (esp. ion thermal) when electromagnetic effects included.""Ratios of differences between ES and EM normalized to ES:"

!  Reduction in fluxes greater than in growth rates."

JET 73224, 1.0 s, l = 0.33 nspec5

0.0 0.2 0.4 0.6 0.8-1.2-1.0

-0.8

-0.6

-0.4

-0.2-0.0

t(c

s/a)

JET 73224, 1.0 s, l = 0.33 nspec5

0.0 0.2 0.4 0.6 0.8-1.2-1.0

-0.8

-0.6

-0.4

-0.2-0.0

t(c

s/a)

JET 73224, 1.0 s, l = 0.33 nspec5

0.0 0.2 0.4 0.6 0.8-1.2-1.0

-0.8

-0.6

-0.4

-0.2-0.0

t(c

s/a)

(a)

GYROGS2

GENE

0.0 0.2 0.4 0.6 0.8kels

0.000.020.040.060.080.100.120.14

a(c s

/a)

0.0 0.2 0.4 0.6 0.8kels

0.000.020.040.060.080.100.120.14

a(c s

/a)

0.0 0.2 0.4 0.6 0.8kels

0.000.020.040.060.080.100.120.14

a(c s

/a)

GYROGS2

GENE(b)

JET 73224, 1.0 s, l = 0.33 nspec3

0.0 0.2 0.4 0.6 0.8 1.0 1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

JET 73224, 1.0 s, l = 0.33 nspec3

0.0 0.2 0.4 0.6 0.8 1.0 1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

JET 73224, 1.0 s, l = 0.33 nspec3

0.0 0.2 0.4 0.6 0.8 1.0 1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

t(c

s/a)

(a)

GYROGS2

GENE

0.0 0.2 0.4 0.6 0.8 1.0 1.2kels

0.000.05

0.10

0.15

0.20

0.250.30

a(c s

/a)

0.0 0.2 0.4 0.6 0.8 1.0 1.2kels

0.000.05

0.10

0.15

0.20

0.250.30

a(c s

/a)

0.0 0.2 0.4 0.6 0.8 1.0 1.2kels

0.000.05

0.10

0.15

0.20

0.250.30

a(c s

/a)

GYROGS2

GENE(b)


!  Excellent agreement" !  Good agreement"!  Drop in growth rate from 3-species"

3 species " "5 species"

kθρs "kθρs"

JET 73224, 1.00 s, l = 0.33 nspec5

-4 -2 0 2 4

0.00.20.40.60.81.01.2

Re(q

)

GYROGS2

GENE

n = 5

-4 -2 0 2 4e//

-0.1

0.0

0.1

0.2

Im(q

)

n = 5

JET 73224, 1.00 s, l = 0.33 nspec3

-4 -2 0 2 40.00.20.40.60.81.01.2

Re(q

)

GYROGS2

GENE

n = 5

-4 -2 0 2 4e//

-0.05

0.00

0.05

0.10

Im(q

)

n = 5

Eigenfunctions 73244!


kθρs ~ 0.5

3 species " "5 species"


kθρs ~ 0.5

JET shot 73224, 1.0 s, l = 0.33 nspec5

0 100 200 300 400 5000.0

0.5

1.0

1.5

Qe/Q

gb

(a)

0 100 200 300 400 500012345

Qi/Q

gb

(b)

0 100 200 300 400 5000.000.010.020.030.040.05

QC/Q

gb(c)

0 100 200 300 400 500-0.2-0.1

0.0

0.10.2

Qe,

B�/Q

gb

(d)

0 100 200 300 400 5000.0

0.1

0.2

0.3

Ke/K

gb

(e)

0 100 200 300 400 500t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)

JET shot 73224, 1.0 s, l = 0.33 nspec3

100 200 300 40005

10

1520

Qe/Q

gb

(a)

100 200 300 4000

1020304050

Qi/Q

gb

(b)

100 200 300 4000.0

0.5

1.0

1.5

QC/Q

gb

(c)

100 200 300 4000.00.5

1.0

1.52.0

Qe,

B�/Q

gb

(d)

100 200 300 40001

2

34

Ke/K

gb

(e)

100 200 300 400t cs/a

01

2

34

Ki/K

gb

(f)

"3 species "GYRO, GENE "5 species"


!  Excellent agreement between GYRO, GENE"

!  Much reduced fluxes (factor > 10)"!  Fluxes decay in time"

"t cs/a "t cs/a"

i

ES electron energy"

ES ion energy"

ES imp energy"

JET shot 73224, 1.0 s, l = 0.33 nspec5

0 100 200 300 400 5000.0

0.5

1.0

1.5

Qe/Q

gb

(a)

0 100 200 300 400 500012345

Qi/Q

gb

(b)

0 100 200 300 400 5000.000.010.020.030.040.05

QC/Q

gb

(c)

0 100 200 300 400 500-0.2-0.1

0.0

0.10.2

Qe,

B�/Q

gb

(d)

0 100 200 300 400 5000.0

0.1

0.2

0.3

Ke/K

gb

(e)

0 100 200 300 400 500t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)


!  Excellent agreement between GYRO, GENE"

!  Much reduced fluxes"!  Fluxes decay in time"

"t cs/a "t cs/a"

i

"3 species "GYRO, GENE "5 species"

JET shot 73224, 1.0 s, l = 0.33 nspec3

100 200 300 40005

10

1520

Qe/Q

gb

(a)

100 200 300 4000

1020304050

Qi/Q

gb

(b)

100 200 300 4000.0

0.5

1.0

1.5

QC/Q

gb

(c)

100 200 300 4000.00.5

1.0

1.52.0

Qe,

B�/Q

gb

(d)

100 200 300 40001

2

34

Ke/K

gb

(e)

100 200 300 400t cs/a

01

2

34

Ki/K

gb

(f)

EM electron energy"


ES ion particle"

JET shot 73224, 1.0 s, l = 0.33 ExB_nspec3

100 200 300 40005

10

1520

Qe/Q

gb

(a)

100 200 300 4000

1020304050

Qi/Q

gb

(b)

100 200 300 4000.0

0.5

1.0

1.5

QC/Q

gb

(c)

100 200 300 4000.00.5

1.0

1.52.0

Qe,

B�/Q

gb

(d)

100 200 300 40001

2

34

Ke/K

gb

(e)

100 200 300 400t cs/a

01

2

34

Ki/K

gb

(f)

JET shot 73224, 1.0 s, l = 0.33 nspec3

100 200 300 40005

10

1520

Qe/Q

gb

(a)

100 200 300 4000

1020304050

Qi/Q

gb

(b)

100 200 300 4000.0

0.5

1.0

1.5

QC/Q

gb

(c)

100 200 300 4000.00.5

1.0

1.52.0

Qe,

B�/Q

gb

(d)

100 200 300 40001

2

34

Ke/K

gb

(e)

100 200 300 400t cs/a

01

2

34

Ki/K

gb

(f)

"without ExB "GYRO, GENE "with ExB"

With ExB — 73224, 3 species!

!  Reductions due to E×B are factor > 1.5"!  Good agreement between codes"

"t cs/a "t cs/a"

ES electron energy"

ES ion energy"

ES imp energy"

i


100 200 300 40005

10

1520

Qe/Q

gb

(a)

100 200 300 4000

1020304050

Qi/Q

gb

(b)

100 200 300 4000.0

0.5

1.0

1.5

QC/Q

gb

(c)

100 200 300 4000.00.5

1.0

1.52.0

Qe,

B�/Q

gb

(d)

100 200 300 40001

2

34

Ke/K

gb

(e)

100 200 300 400t cs/a

01

2

34

Ki/K

gb

(f)

JET shot 73224, 1.0 s, l = 0.33 nspec3

100 200 300 40005

10

1520

Qe/Q

gb

(a)

100 200 300 4000

1020304050

Qi/Q

gb

(b)

100 200 300 4000.0

0.5

1.0

1.5

QC/Q

gb

(c)

100 200 300 4000.00.5

1.0

1.52.0

Qe,

B�/Q

gb

(d)

100 200 300 40001

2

34

Ke/K

gb

(e)

100 200 300 400t cs/a

01

2

34

Ki/K

gb

(f)



!  Reduced electrostatic fluxes"!  Good agreement between codes except EM flux"

"t cs/a "t cs/a"

i

EM electron energy"


ES ion particle"


0 200 400 600 800 10000.00.20.40.60.81.0

Qe/Q

gb

(a)

0 200 400 600 800 10000

1

2

3

Qi/Q

gb

(b)

0 200 400 600 800 10000.000.020.040.060.080.10

QC/Q

gb(c)

0 200 400 600 800 1000-0.2-0.1

0.0

0.10.2

Qe,

B�/Q

gb

(d)

0 200 400 600 800 10000.0

0.1

0.2

0.3

Ke/K

gb

(e)

0 200 400 600 800 1000t cs/a

0.0

0.1

0.2

0.3

Ki/K

gb

(f)

JET shot 73224, 1.0 s, l = 0.33 nspec5

0 100 200 300 400 5000.0

0.5

1.0

1.5

Qe/Q

gb

(a)

0 100 200 300 400 500012345

Qi/Q

gb

(b)

0 100 200 300 400 5000.000.010.020.030.040.05

QC/Q

gb

(c)

0 100 200 300 400 500-0.2-0.1

0.0

0.10.2

Qe,

B�/Q

gb

(d)

0 100 200 300 400 5000.0

0.1

0.2

0.3

Ke/K

gb

(e)

0 100 200 300 400 500t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)



!  No obvious reduction with E×B shear"

"t cs/a "t cs/a"

i

EM electron energy"

ES electron energy"

ES ion energy"


0 200 400 600 800 10000.00.20.40.60.81.0

Qe/Q

gb

(a)

0 200 400 600 800 10000

1

2

3

Qi/Q

gb

(b)

0 200 400 600 800 10000.000.020.040.060.080.10

QC/Q

gb

(c)

0 200 400 600 800 1000-0.2-0.1

0.0

0.10.2

Qe,

B�/Q

gb

(d)

0 200 400 600 800 10000.0

0.1

0.2

0.3

Ke/K

gb

(e)

0 200 400 600 800 1000t cs/a

0.0

0.1

0.2

0.3

Ki/K

gb

(f)

JET shot 73224, 1.0 s, l = 0.33 nspec5

0 100 200 300 400 5000.0

0.5

1.0

1.5

Qe/Q

gb

(a)

0 100 200 300 400 500012345

Qi/Q

gb

(b)

0 100 200 300 400 5000.000.010.020.030.040.05

QC/Q

gb

(c)

0 100 200 300 400 500-0.2-0.1

0.0

0.10.2

Qe,

B�/Q

gb

(d)

0 100 200 300 400 5000.0

0.1

0.2

0.3

Ke/K

gb

(e)

0 100 200 300 400 500t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)



!  No obvious reduction with E×B shear"

"t cs/a "t cs/a"

i

EM electron energy"


ES ion particle"

!  Clear reduction in linear growth rates and nonlinear fluxes when hot ions (beam) included.""Differences between 3 and 5 species normalized to 3 species:"

!  Agreement between GYRO and GENE for the factor >10 flux reduction when including fast ions."

!  Agreement on smaller flux reduction when including E×B shear."

# GYRO and GENE agree that fast-ion-enhanced EM stabilization dominates over E×B stabilization."

Summary — 73224!

JET 75225, 1.0 s, l = 0.33 nspec4

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45-1.2-1.0

-0.8

-0.6

-0.4

-0.2-0.0

t(c

s/a)

JET 75225, 1.0 s, l = 0.33 nspec4

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45-1.2-1.0

-0.8

-0.6

-0.4

-0.2-0.0

t(c

s/a)

JET 75225, 1.0 s, l = 0.33 nspec4

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45-1.2-1.0

-0.8

-0.6

-0.4

-0.2-0.0

t(c

s/a)

(a)GENE

GS2GYRO

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45kels

0.00.10.20.30.40.50.60.7

a(c s

/a)

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45kels

0.00.10.20.30.40.50.60.7

a(c s

/a)

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45kels

0.00.10.20.30.40.50.60.7

a(c s

/a)

GENEGS2

GYRO(b)

JET 75225, 1.0 s, l = 0.33 ES_nspec4

0.0 0.2 0.4 0.6 0.8-0.6-0.5

-0.4

-0.3

-0.2

-0.1-0.0

t(c

s/a)

JET 75225, 1.0 s, l = 0.33 ES_nspec4

0.0 0.2 0.4 0.6 0.8-0.6-0.5

-0.4

-0.3

-0.2

-0.1-0.0

t(c

s/a)

JET 75225, 1.0 s, l = 0.33 ES_nspec4

0.0 0.2 0.4 0.6 0.8-0.6-0.5

-0.4

-0.3

-0.2

-0.1-0.0

t(c

s/a)

(a)

GYROGS2

GENE

0.0 0.2 0.4 0.6 0.8kels

0.00

0.02

0.04

0.06

0.08

a(c s

/a)

0.0 0.2 0.4 0.6 0.8kels

0.00

0.02

0.04

0.06

0.08

a(c s

/a)

0.0 0.2 0.4 0.6 0.8kels

0.00

0.02

0.04

0.06

0.08

a(c s

/a)

GYROGS2

GENE(b)


!  Good agreement among codes"(Stability above kθρs ~ 0.75)"

!  GS2 finds high-frequency modes"kθρs kθρs ""


JET 75225, 1.00 s, l = 0.33 nspec4

-10 -5 0 5 10

0.0

0.5

1.0

Re(q

)

GYROGS2

GENE

n = 4

-10 -5 0 5 10e//

-0.2-0.10.00.10.2

Im(q

)

n = 4

JET 75225, 1.00 s, l = 0.33 ES_nspec4

-4 -2 0 2 4

0.00.20.40.60.81.01.2

Re(q

)

GYROGS2

GENE

n = 5

-4 -2 0 2 4e//

-0.1

0.0

0.1

0.2

Im(q

)

n = 5

Eigenfunctions!

!  Good agreement" !  Excellent agreement GYRO/GENE"!  Disagreement with GS2"

electrostatic " "electromagnetic"

kθρs ~ 0.3 kθρs ~ 0.25

JET 75225, 1.0 s, l = 0.33 nspec4

0.20 0.25 0.30 0.35 0.40-0.25

-0.20

-0.15

-0.10

-0.05

0.00

t(c

s/a)

JET 75225, 1.0 s, l = 0.33 nspec4

0.20 0.25 0.30 0.35 0.40-0.25

-0.20

-0.15

-0.10

-0.05

0.00

t(c

s/a)

JET 75225, 1.0 s, l = 0.33 nspec4

0.20 0.25 0.30 0.35 0.40-0.25

-0.20

-0.15

-0.10

-0.05

0.00

t(c

s/a)

(a)

GYROGS2

GENE

0.20 0.25 0.30 0.35 0.40kels

0.00

0.01

0.02

0.03

0.04

a(c s

/a)

0.20 0.25 0.30 0.35 0.40kels

0.00

0.01

0.02

0.03

0.04

a(c s

/a)

0.20 0.25 0.30 0.35 0.40kels

0.00

0.01

0.02

0.03

0.04

a(c s

/a)

GYROGS2

GENE(b)


!  Plasma profiles are near threshold from ITG modes to KBM-like modes."

!  GYRO, GENE yield ITG modes while GS2 yields KBM-like modes (previous plots)."

!  Reduction of β in GS2 computation by 20% recovers ITG branch."

"(GENE also yields KBM modes at higher β.)" kθρs ""

JET 75225, 1.00 s, l = 0.33 nspec4

-10 -5 0 5 10

0.0

0.5

1.0

Re(q

)

GYROGS2

GENE

n = 4

-10 -5 0 5 10e//

-0.1

0.0

0.1

0.2

Im(q

)

n = 4

Eigenfunctions!


" "electromagnetic, lower β

kθρs ~ 0.25

JET shot 75225, 1.0 s, l = 0.33 ES_nspec4

0 100 200 300 4000.00.5

1.0

1.52.0

Qe/Q

gb

(a)

0 100 200 300 4000

2

4

6

Qi/Q

gb

(b)

0 100 200 300 4000.000.05

0.10

0.150.20

QC/Q

gb

(c)

0 100 200 300 400-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 100 200 300 4000.00.20.40.60.81.0

Ke/K

gb

(e)

0 100 200 300 400t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)

JET shot 75225, 1.0 s, l = 0.33 nspec4

0 100 200 300 400 5000.000.020.040.060.080.10

Qe/Q

gb

(a)

0 100 200 300 400 5000.0

0.1

0.2

0.3

Qi/Q

gb

(b)

0 100 200 300 400 5000.0000.0020.0040.0060.0080.010

QC/Q

gb(c)

0 100 200 300 400 500-0.010-0.005

0.000

0.0050.010

Qe,

B�/Q

gb

(d)

0 100 200 300 400 5000.000.01

0.02

0.030.04

Ke/K

gb

(e)

0 100 200 300 400 500t cs/a

0.0000.005

0.010

0.0150.020

Ki/K

gb

(f)



!  Good agreement" !  Much reduced fluxes (effectively zero)"

!  GYRO fluxes negligible"

"t cs/a "t cs/a"

i

ES electron energy"

ES ion energy"

ES impurity energy"


0 100 200 300 4000.00.5

1.0

1.52.0

Qe/Q

gb

(a)

0 100 200 300 4000

2

4

6

Qi/Q

gb

(b)

0 100 200 300 4000.000.05

0.10

0.150.20

QC/Q

gb

(c)

0 100 200 300 400-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 100 200 300 4000.00.20.40.60.81.0

Ke/K

gb

(e)

0 100 200 300 400t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)

JET shot 75225, 1.0 s, l = 0.33 nspec4

0 100 200 300 400 5000.000.020.040.060.080.10

Qe/Q

gb

(a)

0 100 200 300 400 5000.0

0.1

0.2

0.3

Qi/Q

gb

(b)

0 100 200 300 400 5000.0000.0020.0040.0060.0080.010

QC/Q

gb

(c)

0 100 200 300 400 500-0.010-0.005

0.000

0.0050.010

Qe,

B�/Q

gb

(d)

0 100 200 300 400 5000.000.01

0.02

0.030.04

Ke/K

gb

(e)

0 100 200 300 400 500t cs/a

0.0000.005

0.010

0.0150.020

Ki/K

gb(f)


!  Good agreement" !  Much reduced fluxes (effectively zero)"

!  GYRO fluxes negligible"

"t cs/a "t cs/a"

i

"electrostatic "GYRO, GENE "electromagnetic"EM electron energy"


ES ion particle"


0 100 200 300 4000.00.5

1.0

1.52.0

Qe/Q

gb

(a)

0 100 200 300 4000

2

4

6

Qi/Q

gb

(b)

0 100 200 300 4000.000.05

0.10

0.150.20

QC/Q

gb

(c)

0 100 200 300 400-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 100 200 300 4000.00.20.40.60.81.0

Ke/K

gb

(e)

0 100 200 300 400t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)

JET shot 75225, 1.0 s, l = 0.33 ExB_ES_nspe

0 100 200 300 4000.0

0.5

1.0

1.5

Qe/Q

gb

(a)

0 100 200 300 400012345

Qi/Q

gb

(b)

0 100 200 300 4000.000.05

0.10

0.150.20

QC/Q

gb(c)

0 100 200 300 400-0.10-0.05

0.00

0.050.10

Qe,

B�/Q

gb

(d)

0 100 200 300 4000.00.10.20.30.40.5

Ke/K

gb

(e)

0 100 200 300 400t cs/a

0.0

0.1

0.2

0.3

Ki/K

gb

(f)


With ExB — 75225, ES!

!  Excellent agreement between codes"!  Little reduction with E×B shear"

"t cs/a "t cs/a"

i

EM electron energy"


ES ion particle"


0 100 200 300 4000.00.5

1.0

1.52.0

Qe/Q

gb

(a)

0 100 200 300 4000

2

4

6

Qi/Q

gb

(b)

0 100 200 300 4000.000.05

0.10

0.150.20

QC/Q

gb

(c)

0 100 200 300 400-1.0-0.5

0.0

0.51.0

Qe,

B�/Q

gb

(d)

0 100 200 300 4000.00.20.40.60.81.0

Ke/K

gb

(e)

0 100 200 300 400t cs/a

0.00.10.20.30.40.5

Ki/K

gb

(f)

JET shot 75225, 1.0 s, l = 0.33 ExB_ES_nspe

0 100 200 300 4000.0

0.5

1.0

1.5

Qe/Q

gb

(a)

0 100 200 300 400012345

Qi/Q

gb

(b)

0 100 200 300 4000.000.05

0.10

0.150.20

QC/Q

gb

(c)

0 100 200 300 400-0.10-0.05

0.00

0.050.10

Qe,

B�/Q

gb

(d)

0 100 200 300 4000.00.10.20.30.40.5

Ke/K

gb

(e)

0 100 200 300 400t cs/a

0.0

0.1

0.2

0.3

Ki/K

gb

(f)


With ExB — 75225, ES!

!  Excellent agreement between codes"!  Little reduction with E×B shear"

"t cs/a "t cs/a"

i

EM electron energy"


ES ion particle"

Summary — 75225!

!  Excellent linear agreement"!  Excellent ES agreement"!  With EM stabilization, GENE fluxes are extremely small (in

agreement with power balance). GYRO shows complete stabilization."

Conclusion and Next Steps!

!  Understand if nonlinear differences between codes for 66404 with EM effects are significant (now within error bars)"

!  Understand why some fluxes decay in 73224 case (GYRO with rotation, GENE without rotation)"

!  Understand why GS2 predicts KBM-like modes whereas GYRO, GENE predict ITG modes for 75225 EM."

!  Add nonlinear GS2 simulations to code comparisons."

# GYRO agrees with GENE on the physics picture for these discharges in the inner half-radius: EM-stabilization enhanced by fast ions is very significant, and much stronger than E×B stabilization."

the relative roles of electromagnetic and exb ... · 66404: simplest test case. imposed circular...

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