SOLEDGE2D-EIRENE modelling for preparing WEST divertor operation - - PowerPoint PPT Presentation

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SOLEDGE2D-EIRENE modelling for preparing WEST divertor operation - - PowerPoint PPT Presentation

SOLEDGE2D-EIRENE modelling for preparing WEST divertor operation G. Ciraolo, H. Bufferand, Ph. Ghendrih, J. Bucalossi , Y. Marandet, J. Denis, N. Fedorczak, D. Galassi, J. Gunn, R. Leybros, B. Pgouri, E. Serre, P. Tamain 28th MAY


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| PAGE 1 28th MAY 2015

SOLEDGE2D-EIRENE modelling for preparing WEST divertor operation

  • G. Ciraolo, H. Bufferand, Ph. Ghendrih, J.

Bucalossi , Y. Marandet, J. Denis, N. Fedorczak, D. Galassi, J. Gunn, R. Leybros, B. Pégourié, E. Serre, P. Tamain

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Turning Tore Supra into WEST From Carbon limiter to W divertor

| PAGE 2

Divertor configuration Limiter configuration

WEST

ITER/6

Divertor coil Divertor coil Stabilizing plate Stabilizing plate Carbon environment Tungsten environment

A major upgrade for investigating: H mode physics Tungsten environment Taking full benefit from Tore Supra assets Long pulse physics and operation

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| PAGE 3

SOLEDGE2D-EIRENE

 2D transport code developed in parallel to 3D turbulent code TOKAM3X  Multi-species plasma solver coupled to EIRENE for neutrals

 Solves equations for densities, parallel velocities, temperatures and electric potential  Drifts velocity are being implemented

Example of SOLEDGE2D-EIRENE simulations for WEST geometry

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SLIDE 4

numerical modelling for preparing west divertor

  • peration

1.

WEST H mode plasmas:

How to choose reasonable radial transport coefficients for SolEdge2D simulations?

  • A standard procedure: setting these free parameters referring

to present experiments (example on an ASDEX H mode discharge)

  • A possibly more predictive approach: Implementing a “turbulence” model in

SOLEDGE. 2. WEST long pulse requirements

| PAGE 4 Modelling the plasma up to the wall in the divertor as well as in the main chamber region

  • heat and particle flux (on divertor targets, baffle, limiter antenna...)
  • impurity sputtering/deposition
  • divertor and main chamber W sources

Neutral pressure

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setting cross field transport coefficients: the standard approach

An example on ASDEX H mode discharge

| PAGE 5

Based on a well documented deuterium H-mode plasma in AUG Carbon wall (sputtered radiator) / Sputtering yield adjusted to match experimental SOL radiated power Transport parameters from [A. Chankin et al., PPCF 48 (2006)] found to match OMP experimental profiles SOLEDGE2D-EIRENE simulation results in the

  • utboard mid plane
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Application to H-mode on ASDEX upgrade

| PAGE 6

High recycling divertor solution Good agreement between simulation and experiment on target parameters 

Objective: set transport parameters for WEST simulation

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SLIDE 7

Application to H-mode on WEST Objective: high radiative H-mode plasma on WEST

| PAGE 7 Same transport coefficients as in the AUG case

Tungsten wall: C sputtering replaced by Nitrogen seeding

Nitrogen puff Outboard Mid Plane Outer strike point

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SLIDE 8

To what extent these results are reliable and robust?

| PAGE 8

  • « Quite large » set of possible combinations…..
  • Impact on heat and particle fluxes on divertor targets and

more generally on plasma behavior in the divertor region Examples of radial profiles for transport coefficients Can we find a way to obtain transport radial coefficient from a more « first principle » approach ?

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SLIDE 9

Taking inspiration from CFD community: Turbulence in mean flow equations

| PAGE 9

Reynolds Averaged Navier-Stokes (RANS) approach:

Averaging

Reynolds tensor

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Estimation of eddy viscosity with a 2-equation model

| PAGE 10

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Why this simplified model is so interesting for us?

| PAGE 11

Courtesy SimScale

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Coupling SOLEDGE2D with a turbulence model

| PAGE 12

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Test case for the model: MISTRAL base case on Tore Supra Comparison with experiment by J. Gunn et al., J. Nucl. Mat. 363-365 (2007)] evidence of transport enhancement on the LFS Ohmic plasmas. Plasma-wall contact point moved around the vessel

HFS BOT LFS TOP

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SLIDE 14

Preliminary results obtained with SOLEDGE coupled to the turbulence model

| PAGE 14 HFS BOT LFS TOP The 4 configurations are simulated with SOLEDGE2D-EIRENE coupled with the turbulence model Spontaneous ballooned diffusion coefficients  enhanced turbulence intensity in the outboard midplane (interchange instable side)

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SLIDE 15

| PAGE 15 HFS BOT LFS TOP

The 4 configurations are simulated with SOLEDGE2D-EIRENE coupled with the turbulence model Spontaneous ballooned diffusion coefficients  enhanced turbulence intensity in the outboard midplane (interchange instable side)

Preliminary results obtained with SOLEDGE coupled to the turbulence model

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| PAGE 16

Mach number contour plot obtained from simulations. Flow reversal observed at the top of the machine (probe in pink)

HFS BOT LFS TOP The 4 configurations are simulated with SOLEDGE2D-EIRENE coupled with the turbulence model

Preliminary results obtained with SOLEDGE2D-EIRENE coupled to the turbulence model

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SLIDE 17

| PAGE 17

Comparison of Mach and density profiles (langmuir probes vs simulations)

L a n g m u i r p r

  • b

e s i m u l a t i

  • n

s

 Reasonable agreement for Mach number flow reversal  Difference in density: decay less pronounced in the simulation

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SLIDE 18

numerical modelling in support tO west divertor operation

| PAGE 18

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SLIDE 19

numerical modelling for preparing west divertor

  • peration

WEST long pulse requirements

| PAGE 19 Access to plasma behavior all along the wall:

  • heat and particle flux
  • impurity sputtering/deposition
  • divertor and main chamber W sources
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SLIDE 20

28th MAY 2015 | PAGE 20

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SLIDE 21

Coupling between species in soledge multifluid equations

| PAGE SolEdge-EIRENE adapted to simulate an arbitrary number of ions For every ion the following equations are solved: Mass balance Momentum balance Energy balance (also solved for electrons) with Coupling terms Atomic physics ( )

n

S v b u n t n

α α α α α

= + ⋅ ∇ + ∂ ∂ ) (   

pinch

v n n D v    + ∇ − =

⊥ α α α

( )

( )

( )

nu

S R b u u n m E q T n v b u u n m t u n m

α α α α α α α α α α α α α α α α α

ν ν + + ∇ + ∇ ⋅ ∇ + + − ∇ = + ⋅ ∇ + ∂ ∂

⊥ ⊥

     

// // // //

) (

α

α α α α α α α α α α α α α α α α α α α α α α α α α α α

ν κ χ ν

E

S Q u R b h u T T n u n u E q v b u u n m v b u T n u n m T n t + + +               − ∇ + ∇ ⋅ ∇ +       ∇ + ∇ ⋅ ∇ + =       + + + ⋅ ∇ +       + ∂ ∂

⊥ ⊥ ⊥

         

2 // // // 2 // 2 2

2 1 2 1 ) ( 2 1 ) ( 2 5 2 1 2 3

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SLIDE 22

Coupling between species in soledge multifluid equations

24th NOVEMBRE 2014 | PAGE Coupling terms come from collisions between the different particles Example: effect of collisions in momentum balance A closure for these terms has been derived by Braginskii (1965) only for a two species ion-electron plasma. Expression for these terms have been inferred on heuristic basis from Braginskii’s work (Braams work for SOLPS - 1987) Ongoing work to express these terms from theoretical closure (Zhdanov, Rozhanski)

§ Thermal force: § Friction force

Drive impurity flows from cold to hot areas (contamination) Impurities follow the plasma flow toward the wall (flushing)

+ =

α β αβ αβ α u T

R R R

β αβ α αβ αβ

T c T c RT

// ) 2 ( // ) 1 (

∇ + ∇ =

( )

β α αβ αβ

u u c Ru − =

) 3 (

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SLIDE 23

Checking the code – Are equation well implemented ?

24th NOVEMBRE 2014 | PAGE Equations checked with the Method of Manufactured Solutions (MMS):  Check if the code solves the equation that it claims to solve Tests are run automatically when the code is modified  non-regression tests Atomic physics are being checked testing ionization- recombination equilibrium in a very simple domain geometry (no transport) Optimization effort to reduce computation time (G. Latu, C. Passeron) Ionization/recombination equilibrium for Carbon

C+ C2+ C3+ C4+ C5+ C6+

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SOLEDGE Validation on an ASDEX H-mode plasma

Transport diffusivities have been determned by Chankin to match midplane experimental measurements with SOLPS results. Procedure: Use the same transport parameters and repeat the simulation with SOLEDGE – Attempt to use the same code settings (as far as possible)

| PAGE 24 29th September 2015

SOLEDGE grid

110 x 180

Full line with markers: SOLPS Dashed lines: SOLEDGE 18 x 48

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SOLEDGE Validation on an ASDEX H-mode plasma

| PAGE 25

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SOLEDGE Validation on an ASDEX H-mode plasma

| PAGE 26

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SOLEDGE Validation on an ASDEX H-mode plasma

Target profiles comparison: heat flux

| PAGE 27

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SOLEDGE Validation on an ASDEX H-mode plasma

Target profiles comparison: probe data

| PAGE 28

SOLPS results: 2.7MW with drifts

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SOLEDGE Validation on an ASDEX H-mode plasma

| PAGE 29

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Divertor: a crucial component for power exhaust

| PAGE 30

WEST minimizes risks for ITER divertor construction and operation

WEST: risk minimization in support to ITER divertor strategy ITER divertor heat loads specs: Steady state: 10 MW/m2 Slow transients: 20 MW/m2 ELMs - disruptions

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Pave the way towards the ITER actively cooled tungsten divertor procurement and operation

Optimization of industrial scale production / qualification processes ahead of ITER divertor procurement Assessment of power handling capabilities / lifetime of ITER high heat flux tungsten divertor components in tokamak environment Validated scheme for protection of actively cooled metallic plasma facing components

Master integrated plasma scenario over relevant plasma wall equilibrium time scale in a metallic environment

Demonstration of integrated long pulse H mode scenario (optimization of RF heating, control of tungsten contamination and plasma density) Investigation of advanced scenario regimes (fully non inductive H mode operation, highly radiating scenario, …)

| PAGE 31

WEST missions

Full-W

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SLIDE 32

Tore Supra  WEST: From carbon to tungsten environment

| PAGE 32

CIEL configuration WEST configuration

Carbon environment

Bumper

CFC/W-coating

Lower target

“ITER Technologies” Water cooled Stainless Steel panel

Baffle

Cu/W-coating

VDE/ripple protection

Cu/W-coating

Upper target

Cu/W-coating

up to 8 MW/m2

(steady-state / double null)

up to 3 MW/m2 (steady-state)

* 10 MW/m2 in steady state 20 MW/m2 in slow transient ( < 10s)

ITER requirement* (and beyond)

Antenna Limiters

CFC/W-coating

2011 2016

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A flexible configuration: lower, upper and double null configuration

WEST main Plasma parameters

| PAGE

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Integrated plasma-wall modelling

Soledge2D: Plasma transport from r/a ≈0.8 to sheath entrance Tables from PIC code: Acceleration of ions in the sheath TRIM: Reflection properties depending on wall material EIRENE: Neutral transport and interactions Quasi-neutral plasma Sheath Wall Neutrals ni, ui, Ti, Te Angle of incidence Rn, RE Sn, SE

Architecture of plasma-wall interaction in SOLEDGE2D-EIRENE

| PAGE 34