HAPL Modeling  Ion and Heat Transport Qiyang Hu, Nasr Ghoniem, Shahram Sharafat, Mike Anderson Mechanical & Aerospace Engineering University of California,

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Presentation transcript:

HAPL Modeling  Ion and Heat Transport Qiyang Hu, Nasr Ghoniem, Shahram Sharafat, Mike Anderson Mechanical & Aerospace Engineering University of California, Los Angeles May 15 th, 2006

Outline  HEROs: Helium Diffusion Model revisited Results updated Future schedule  Analytical approach: temperature profile Green ’ s function formulation Results comparison Plans for next step

 HEROs: Helium Diffusion  Analytical approach: temperature profile

serious Previous HEROs code has serious numerical instability problem: In most cases: Time to be simulated < 100 sec Running Time> 6 hours Time step > 2000 steps Temperature range< 2000 K

HEROs model is completely revisited  Still, spatial & kinetic:  Simplify the equation Ignore some cluster effects: (e.g. vacancy clusters, interstitial clusters etc.) 18 variables/equations  13 Ignore bubble coalescence  Start from spatial-independent case

HEROs numerical scheme: … variable bin sizeW front W back Implantation profile Temperature profile Within a bin, each C (i) is in an average sense

We want to use our new HEROs code to model different conditions. Helium ImplantationDamage We re-simulated UWM ’ s “ steady ” implantation case constant temperature

Experiments ( Cipiti & Kulcinski, 2004 ) show: 1  m 1160 °C 2.6x10 16 He/cm 2 -s 2.5 min. 990 °C 8.8x10 15 He/cm 2 -s 7.5 min. 1  m 730 °C 2.2x10 15 He/cm 2 -s 30 min. 40 KeV He On W 510 18 ion/cm 2 Temperature Pore Size Pore Density

stable New HEROs code is stable and gives the correct information about pore sizes:

So does the pore density …

HEROs also gives the spatial distribution information (average sense): 40 KeV; Temperature=1160 o C; Bin Number=20; Total width=10m

Helium retention: Most of He are in grain boundary

largely Capabilities of new HEROs code are largely improved HEROs Total time to be simulated Running time Required time steps Temperature range Previous <100 sec >6 hrs>2000 steps<2000 K Current>10 6 sec<5 mins< 100 steps<3500 K

Planning on HEROs:  Implement “ pulsed ” cases: UWM UNC IFE  Add bubble coalescence  Exceed the 0-order (average) description Include 1 st -order size distribution

 HEROs: Helium Diffusion  Analytical approach: temperature profile

We are doing 1-D heat diffusion:  Well-known equation:  Adiabatic boundary condition:  If material properties are constant:

Numerical approximations:  Discrete time steps:  Volumetric heating  Surface heat

Good agreement is achieved: (Blanchard 2005)

Planning:  Real cases of heating: Volumetric heating IFE condition  Couple temperature into HEROs Same “ kinetic-equation ” structure 13 variables/equation  14

Thanks!