ARIES Pathways Project 05/29/08

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Presentation transcript:

ARIES Pathways Project 05/29/08 A Study of the Effects of Source Sampling Methods on ARIES-RS NWL Profiles R.N. Slaybaugh, E.P. Marriott, P.P.H. Wilson, L. El-Guebaly Contributors: C. Kessel (PPPL), X. Wang (UCSD) ARIES Pathways Project 05/29/08

Impact of Source Sampling on NWL Profile Outline Introduction Past NWL Work (in 1996) with approximate neutron source distribution Present Work with exact neutron source distribution Comparison with DAGMC Results Recommendations Publications ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Introduction interim final Using 3-D MCNP code, El-Guebaly* determined neutron wall loading (NWL) distribution for interim design Final design was later determined Comparison of interim and final design cross sections Parameter Interim (Jan ‘96) Final (Aug ‘96) Power 1881.5 MW 2167 MW Major Radius 5.12 m 5.52 m Minor Radius 1.28 m 1.38 m Magnetic Shift 55 cm 33 cm Peak NWL (midplane) 5.3 MW/m2 5.6 MW/m2 (from ACS) *El-Guebaly, L.A., The ARIES Team. “Overview of ARIES-RS neutronics and radiation shielding: key issues and main conclusions.” Fusion Engineering and Design 38. (1997) : 139-158 ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Introduction We reexamined the NWL for ARIES-RS Different source sampling methods were used Effect on NWL distribution is analyzed FW segmented vertically (every 10-20 cm) to improve accuracy ARIES-RS cross section view with structural detail ARIES-RS cross section view with wall segmenting and 3 source regions shown ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Past Work Used standard MCNP source definition 3 regions were created in the plasma zone They were weighted to represent the actual source distribution, provided by C. Bathke Each region was sampled uniformly Angular distribution was isotropic NWL results from 1997 report ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Present Work For interim ARIES-RS design, NWL was computed using 3 source distributions: one uniformly sampled region (basic) 3 uniformly sampled regions (this is what was done before) Sampling of actual source distribution provided by C. Kessel These results will be compared to assess the accuracy of each method. ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Present Work (cont.) Plasma parameters provided by C. Kessel Provided on R-Z grid in standard output format from plasma physics simulation Generate a source density distribution on R-Z grid, S(R,Z) Source probability density function (PDF) derived by volume weighting PDF = 2πR*dR*dZ*S(R,Z) Cumulative distribution function is created by summing over R and Z ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Present Work (cont.) Source mesh cell is selected by: Linear search through Z from distribution function Linear search through R from distribution function Toroidal angle is sampled randomly from a uniform distribution The source mesh cell is then sampled uniformly in volume; the size is obtained from the R-Z grid The source is emitted isotropically ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Comparison of Inboard NWL results by source, native geometry ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Comparison of Outboard NWL results by source, native geometry ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Comparison of Divertor NWL results by source, native geometry ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Comparison to DAGMCNPX Calculations repeated with DAGMCNPX Previous results used “native” MCNP geometry DAGMCNPX was developed at UW and performs transport directly on the CAD geometry file The results from the native and DAGMCNPX geometries will be compared ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Results Comparison of DAGMC and native geometry for Inboard NWL , actual source ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Results Comparison of DAGMC and native geometry for Outboard NWL , actual source ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Results Comparison of DAGMC and native geometry for Divertor NWL , actual source ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Native Geometry (actual source) Results one uniform region 3 uniform regions actual distribution Peak Inboard Γ 3.2 MW/m2 3.8 MW/m2 4.1 MW/m2 Peak Outboard Γ 4.8 MW/m2 5.3 MW/m2 Average* Γ 3.1 MW/m2 Native Geometry (actual source) DAGMC (actual soruce) Peak Inboard Γ 4.1 MW/m2 Peak Outboard Γ 5.3 MW/m2 Average* Γ 3.1 MW/m2 ARIES Pathways Project 05/29/08 * Average Γ = Neutron Power / FW area including divertor Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Results Source Comparison: Outboard and divertor cases: the 3 region source matched the actual quite well Inboard case, the 3 region source was ~8% lower at the midplane shallower curvature, and >10% higher near the top/bottom DAGMC comparison: For the actual source, all results within 4% For 3/45 cases with >1% discrepancy had a statistical error of the same magnitude Ssimilar results for both other source types ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Recommendations The 3 region source captures many of the effects of the real source However, due to the slight disagreement for the inboard results (+/- 10%), the actual source should be used DAGMC is also an appropriate choice for these kinds of calculations Sensitivity to actual source resolution should be studied ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile

Impact of Source Sampling on NWL Profile Publications UW-FDM Report: A Study of Effects of Source Sampling Methods on ARIES-RS NWL Profile. R. N. Slaybaugh, E. P. Marriot, P. P. H. Wilson, L. El-Guebaly SOFT 2008: R.N. Slaybaugh, P.P.H. Wilson, L. El-Guebaly, E.P. Marriott “A Monte Carlo Sampling Method for an Arbitrary Toroidal Source” ARIES Pathways Project 05/29/08 Impact of Source Sampling on NWL Profile