Convergence in infinite rod Extrapolation length influence

Slides:



Advertisements
Similar presentations
What is the sum of the following infinite series 1+x+x2+x3+…xn… where 0
Advertisements

EMERALD1: A Systematic Study of Cross Section Library Based Discrepancies in LWR Criticality Calculations Jaakko Leppänen Technical Research Centre of.
Using FLUKA to study Radiation Fields in ERL Components Jason E. Andrews, University of Washington Vaclav Kostroun, Mentor.
Solar activity over the last 1150 years: does it correlate with climate? S.K. Solanki 1, I. Usoskin 2, M. Schüssler 1, K. Mursula 2 1: Max-Planck-Institut.
02/08/2015Regional Writing Centre2 02/08/2015Regional Writing Centre3.
Rn Diffusion In Polyethylene Wolfgang Rau Queen’s University Kingston  Motivation  Experimental Setup – Diffusion Model  Measurement – Efficiency Simulation.
Classification of Numbers
Chapter 2 Definitions Numbers such as 3 and -3 that are the same distance from 0 but on the opposite side of 0 are called opposites. The set of integers.
Monte Carlo Simulation of Interacting Electron Models by a New Determinant Approach Mucheng Zhang (Under the direction of Robert W. Robinson and Heinz-Bernd.
Notes Over 11.4 Infinite Geometric Sequences
Physics.
Low Ash Primary School – Calculations policy Addition Strategies: = Counting on in 1s Counting on – partitioning into 10s.
1 Lesson 5: Flux, etc. Flux determination Flux determination Cell Cell Surface Surface Flux integral tallies (reaction rates) Flux integral tallies (reaction.
Using Scientific Measurements. Uncertainty in Measurements All measurements have uncertainty. 1.Measurements involve estimation by the person making the.
R 2R2R a a Today… More on Electric Field: –Continuous Charge Distributions Electric Flux: –Definition –How to think about flux.
Algebra By : Monte. Term The number or an Expression that are added in a sum.
I Introductory Material A. Mathematical Concepts Scientific Notation and Significant Figures.
Rational Functions. To sketch the graph of a rational function: Determine if the function points of discontinuity for the.
Dataset Development within the Surface Processes Group David I. Berry and Elizabeth C. Kent.
Ionic Conductors: Characterisation of Defect Structure Lecture 15 Total scattering analysis Dr. I. Abrahams Queen Mary University of London Lectures co-financed.
Uses of Statistics: 1)Descriptive : To describe or summarize a collection of data points The data set in hand = the population of interest 2)Inferential.
General Physics II, Lec 3, By/ T.A. Eleyan 1 Lecture 3 The Electric Field.
Significant Figure Rules RulesExamples The following are always significant Non zero digits Zeros between non zero digits Zero to the right of a non zero.
11.2 Series. 22 Sequences and Series  A series is the sum of the terms of a sequence.  Finite sequences and series have defined first and last terms.
Copyright © Cengage Learning. All rights reserved. Sequences and Series.
INTRODUCTORY LECTURE 3 Lecture 3: Analysis of Lab Work Electricity and Measurement (E&M)BPM – 15PHF110.
Fick’s Law The exact interpretation of neutron transport in heterogeneous domains is so complex. Assumptions and approximations. Simplified approaches.
Kevin Stevenson AST 4762/5765. What is MCMC?  Random sampling algorithm  Estimates model parameters and their uncertainty  Only samples regions of.
Telescoping Series & P-Series Objectives: Be able to describe the convergence or divergence of p-series and telescoping series. TS: Explicitly assess information.
Sequences and Series 13 Copyright © Cengage Learning. All rights reserved.
S ECT. 9-2 SERIES. Series A series the sum of the terms of an infinite sequence Sigma: sum of.
Uncertainties in Measurement Laboratory investigations involve taking measurements of physical quantities. All measurements will involve some degree of.
Uncertainty Analysis in Emission Inventories
24.2 Gauss’s Law.
Equation of Continuity
Date of download: 10/13/2017 Copyright © ASME. All rights reserved.
Last Time Insulators: Electrons stay close to their own atoms
Outline Uses of Gravity and Magnetic exploration
Monte Carlo methods 10/20/11.
nth or General Term of an Arithmetic Sequence
Uncertainty Analysis in Emission Inventories
Paul Scherrer Institut
variance reduction techniques to improve efficiency of calculation B
Investigating multiple scattering with McStas
Gauss’s Law Electric Flux
Appendix C Radiation Modeling
CS 4/527: Artificial Intelligence
AIM: Clustering the Data together
CAP 5636 – Advanced Artificial Intelligence
Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.
Direct and Limit Comparison Test
Electric Fields Electric Flux
Multiplying & Dividing Integers
Physics of fusion power
Gauss’s Law Electric Flux
Find the sums of these geometric series:
Radiation Shielding Val Kostroun REU Presentation, June 1, 2009
CS 188: Artificial Intelligence
Lesson 8 Ampère’s Law and Differential Operators
Fractions ( Part 2 ) Created By Dr. Cary Lee
Exercises on sheet similar to this
Design of A New Wide-dynamic-range Neutron Spectrometer for BNCT with Liquid Moderator and Absorber S. Tamaki1, I. Murata1 1. Division of Electrical,
Quiz 1 (lecture 4) Ea
Force acting between two long, parallel, current-carrying conductors
2 Activity 1: 5 columns Write the multiples of 2 into the table below. What patterns do you notice? Colour the odd numbers yellow and the even numbers.
Errors and Uncertainties
Activity 1: 5 columns Write the multiples of 3 into the table below. What patterns do you notice? Colour the odd numbers yellow and the even numbers blue.
Activity 1: 5 columns Write the multiples of 9 into the table below. What patterns do you notice? Colour the odd numbers yellow and the even numbers blue.
Lesson 4: Application to transport distributions
Nth, Geometric, and Telescoping Test
Presentation transcript:

Convergence in infinite rod Extrapolation length influence NEA/NSC/WPNCS EGAMCT Convergence in infinite rod Extrapolation length influence Paris 28 June 2017 Dennis Mennerdahl, EMS

“Long” infinite rod Fissions not converged? 2015 and 2016 meeting presentations suggest better convergence for “short infinite rod” than for a “long infinite rod”. EMS SCALE/KENO V.a calculations (several billion histories): Unreliable KENO V.a restart results for fission densities make conclusions difficult Planned presentation of results cancelled

No problem! Infinite length rod: Only one relevant zone Long rod, subdivided into multiple zones, gives more information on neutron transport All information from short rod calculation available from long rod results General: EG should express what is meant by under-sampling, etc. Some regions have no relevance for requested results

Dominance ratio Several EG AMCT meetings and Monte Carlo papers on Dominance Ratio: Extrapolation length ignored! Symmetry: Zero flux at symmetry line! Different dominance ratios for different rod lengths Green’s function: Extrapolated length required: Symmetry line: Total extrapolated length = 2*(L/2+l) Infinite rod: L + 2*l is infinite

Symmetry – Added tallies The draft final report and earlier presentations: Symmetry -> tally of individual position is not calculated, only the sum of symmetric tallies “True uncertainties” based on repeated runs appear to be based on non-converged tallies ¼ symmetry: Away from centre -> Sum of 4 well separated tallies. Near centre -> 4 close tallies, essentially only one (larger variations)