From 9f6e98e956b730c58fe50ba716675314e5e38f8f Mon Sep 17 00:00:00 2001 From: nsnowISU Date: Thu, 31 Jul 2025 10:37:56 -0600 Subject: [PATCH 1/8] Test and bib update --- doc/content/bib/tmap8.bib | 84 ++++++++++++++++++--------------------- 1 file changed, 38 insertions(+), 46 deletions(-) diff --git a/doc/content/bib/tmap8.bib b/doc/content/bib/tmap8.bib index 60cbe210b..e710cb328 100644 --- a/doc/content/bib/tmap8.bib +++ b/doc/content/bib/tmap8.bib @@ -343,50 +343,42 @@ @article{zhao2020deuterium publisher={Elsevier} } -@techreport{Matthews2021SWIFT, - title={{Metal Hydride Simulations Using SWIFT}}, - author={Matthews, C. and Shivprasad A. P. and Cooper M. W. D.}, - year={2021}, - institution={Los Alamos National Laboratory, Los Alamos, NM (United States)}, - number={LA-UR-21-27538} -} - -@article{Lundin_1962, - doi = {10.1149/1.2425565}, - url = {https://dx.doi.org/10.1149/1.2425565}, - year = {1962}, - month = {sep}, - publisher = {The Electrochemical Society, Inc.}, - volume = {109}, - number = {9}, - pages = {838}, - author = {Lundin, C. E. and Blackledge, J. P.}, - title = {Pressure‐Temperature‐Composition Relationships of the Yttrium‐Hydrogen System}, - journal = {Journal of The Electrochemical Society} -} - -@article{FISHER19841536, - title = {Diffusivities of hydrogen in yttrium and yttrium alloys}, - journal = {Journal of Nuclear Materials}, - volume = {123}, - number = {1}, - pages = {1536-1540}, - year = {1984}, - issn = {0022-3115}, - doi = {https://doi.org/10.1016/0022-3115(84)90297-6}, - url = {https://www.sciencedirect.com/science/article/pii/0022311584902976}, - author = {P. W. Fisher and M. Tanase} -} - -@article{MAJER2002438, - title = {Model-independent measurements of hydrogen diffusivity in the yttrium dihydrides}, - journal = {Journal of Alloys and Compounds}, - volume = {330-332}, - pages = {438-442}, - year = {2002}, - note = {Proceedings of the International Symposium on Metal-Hydrogen Systems, Fundamentals and Applications (MH2000)}, - issn = {0925-8388}, - doi = {https://doi.org/10.1016/S0925-8388(01)01452-9}, - url = {https://www.sciencedirect.com/science/article/pii/S0925838801014529}, - author = {G. Majer and J. Gottwald and D. T. Peterson and R. G. Barnes} +@article{ELMORSHEDY2024101616, +title = {Thermal-hydraulic simulation of ITER tungsten divertor monoblock for loss of flow transient}, +journal = {Nuclear Materials and Energy}, +volume = {38}, +pages = {101616}, +year = {2024}, +issn = {2352-1791}, +doi = {https://doi.org/10.1016/j.nme.2024.101616}, +url = {https://www.sciencedirect.com/science/article/pii/S2352179124000383}, +author = {Salah El-Din El-Morshedy} +} + +@article{Kessel01092013, +author = {C. E. Kessel and M. S. Tillack and J. P. Blanchard}, +title = {The Evaluation of the Heat Loading from Steady, Transient and Off-Normal Conditions in ARIES Power Plants}, +journal = {Fusion Science and Technology}, +volume = {64}, +number = {3}, +pages = {440--448}, +year = {2013}, +publisher = {American Nuclear Society}, +doi = {10.13182/FST12-538}, +URL = {https://doi.org/10.13182/FST12-538}, +eprint = {https://doi.org/10.13182/FST12-538} +} + +@article{SALTELLI2002280, +title = {Making best use of model evaluations to compute sensitivity indices}, +journal = {Computer Physics Communications}, +volume = {145}, +number = {2}, +pages = {280-297}, +year = {2002}, +issn = {0010-4655}, +doi = {https://doi.org/10.1016/S0010-4655(02)00280-1}, +url = {https://www.sciencedirect.com/science/article/pii/S0010465502002801}, +author = {Andrea Saltelli}, +keywords = {Sensitivity analysis, Sensitivity measures, Sensitivity indices, Importance measures} } From 879dab30f2202c30c0dd03dc0cb75ab1e528b9c0 Mon Sep 17 00:00:00 2001 From: nsnowISU Date: Thu, 31 Jul 2025 13:28:39 -0600 Subject: [PATCH 2/8] Adding in-progress index.md for the sensitivity, and the modified index.md for the examples folder. Additionally including inputs in tests folder along with output json files for use as 'golds'. Also adding graphical resources and relavent python scripts --- .../divertor_monoblock_sensitivity/index.md | 108 + .../elm_transient_CCZ_state_frequency.png | Bin 0 -> 97885 bytes .../elm_transient_W_sensitivity.png | Bin 0 -> 88261 bytes .../elm_transient_outputs.png | Bin 0 -> 1047529 bytes .../elm_transient_retention_sensitivity.png | Bin 0 -> 79435 bytes ...shutdown_transient_CCZ_state_frequency.png | Bin 0 -> 99211 bytes .../shutdown_transient_W_sensitivity.png | Bin 0 -> 92575 bytes .../shutdown_transient_outputs.png | Bin 0 -> 1188535 bytes ...utdown_transient_retention_sensitivity.png | Bin 0 -> 87433 bytes .../sobol_processing.py | 560 + .../steady_state_CCZ_state_frequency.png | Bin 0 -> 88534 bytes .../steady_state_W_sensitivity.png | Bin 0 -> 77173 bytes .../steady_state_inputs.png | Bin 0 -> 1135380 bytes .../steady_state_outputs.png | Bin 0 -> 1628287 bytes .../steady_state_retention_sensitivity.png | Bin 0 -> 85418 bytes .../tmap_processing_v1.py | 1190 + .../transients_inputs.png | Bin 0 -> 2231320 bytes doc/content/examples/index.md | 1 + .../elm_transient_runner.i | 1194 + .../elm_transient_sobol.i | 160 + .../gold/elm_transient_sobol.json | 159606 ++++++++++++++ .../gold/shutdown_transient_sobol.json | 159608 +++++++++++++++ .../gold/steady_state_sobol.json | 18179 ++ .../shutdown_transient_runner.i | 1187 + .../shutdown_transient_sobol.i | 161 + .../steady_state_runner.i | 1137 + .../steady_state_sobol.i | 141 + 27 files changed, 343232 insertions(+) create mode 100644 doc/content/examples/divertor_monoblock_sensitivity/index.md create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/elm_transient_CCZ_state_frequency.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/elm_transient_W_sensitivity.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/elm_transient_outputs.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/elm_transient_retention_sensitivity.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/shutdown_transient_CCZ_state_frequency.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/shutdown_transient_W_sensitivity.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/shutdown_transient_outputs.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/shutdown_transient_retention_sensitivity.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/sobol_processing.py create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/steady_state_CCZ_state_frequency.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/steady_state_W_sensitivity.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/steady_state_inputs.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/steady_state_outputs.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/steady_state_retention_sensitivity.png create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/tmap_processing_v1.py create mode 100644 doc/content/examples/figures/divertor_monoblock_sensitivity_figures/transients_inputs.png create mode 100644 test/tests/divertor_monoblock_sensitivity/elm_transient_runner.i create mode 100644 test/tests/divertor_monoblock_sensitivity/elm_transient_sobol.i create mode 100644 test/tests/divertor_monoblock_sensitivity/gold/elm_transient_sobol.json create mode 100644 test/tests/divertor_monoblock_sensitivity/gold/shutdown_transient_sobol.json create mode 100644 test/tests/divertor_monoblock_sensitivity/gold/steady_state_sobol.json create mode 100644 test/tests/divertor_monoblock_sensitivity/shutdown_transient_runner.i create mode 100644 test/tests/divertor_monoblock_sensitivity/shutdown_transient_sobol.i create mode 100644 test/tests/divertor_monoblock_sensitivity/steady_state_runner.i create mode 100644 test/tests/divertor_monoblock_sensitivity/steady_state_sobol.i diff --git a/doc/content/examples/divertor_monoblock_sensitivity/index.md b/doc/content/examples/divertor_monoblock_sensitivity/index.md new file mode 100644 index 000000000..7bbfd13ea --- /dev/null +++ b/doc/content/examples/divertor_monoblock_sensitivity/index.md @@ -0,0 +1,108 @@ +# Divertor Monoblock Sensitivities %------------------------------------------------------------------------------------------------------- + +This work consists of sensitivity studies of different operating conditions performed on the +[Divertor Monoblock](https://mooseframework.inl.gov/TMAP8/examples/divertor_monoblock/index.html). +The original pulsed operation of the divertor monoblock model was modified according to [!cite](Hodille2021126003) towards +a single-long tritium and heat flux pulse of an approximate equivalent total fluence. An initial sensitivity study on was +performed on the divertor monoblock's boundary conditions under the steady pulse condition using the +[Sobol Method](https://mooseframework.inl.gov/modules/stochastic_tools/examples/sobol.html) and other tools within the +[Stochastic Module](https://mooseframework.inl.gov/modules/stochastic_tools/). Two additional sensitivity studies were +performed on select transients obtained from [!cite](ELMORSHEDY2024101616) and [!cite](Kessel01092013). + +## General description of the sensitivity studies and the modified cases %---------------------------------------------------------------- + +### Introduction %------------------------------------------------------------------------------------------------------------------------ + +!style halign=left +Many fusion components, especially those exposed to especially unique or extreme conditions, often lack sufficient operation +data to evaluate their reliability, availability, maintainability, and inspectability (RAMI). As a proof-of-concept, we seek to +construct a Probabilistic Physics of Failure (PPoF) model of a tokomak divertor system to obtain failure rate metrics and lifetime +metric relevant to the RAMI of a nuclear fusion reactor. + +To accomplish this, sensitivity studies on the [Divertor Monoblock](https://mooseframework.inl.gov/TMAP8/examples/divertor_monoblock/index.html) +model described in [!cite](Shimada2024114438) will be performed for (1) steady state conditions based on ITER data +[!cite](Hodille2021126003), (2) an inadvertant shutdown transient [!cite](ELMORSHEDY2024101616), and (3) an edge-localized mode transient +[!cite](Kessel01092013). The sensitivity studies will be performed using the [MOOSE] [Stochastic Module] and its [Sobol Method] according +to [!cite](SALTELLI2002280). The results of the sensitivity studies will be evaluated for state limits associated with heat transfer and +tritium migration physics included in the [Divertor Monoblock]. + +First, the modifications made to the [Divertor Monoblock] model will be described. Second, the conditions the divertor monoblock was subjected +to in the steady and transient scenarios will be described. Finally, the results of the sensitivities, namely the first and second order +sensitivity indicies and example correlations and state frequencies will be presented. + +### Divertor Monoblock modifications %----------------------------------------------------------------------------------------------------- + +!style halign=left +% Changes, namely: conversion to single steady pulse, modification of time steps, and +% additions to postprocessors. +### Steady operation %--------------------------------------------------------------------------------------------------------------------- + +!style halign=left +% Varied parameters: boundary conditions, +!table id=tab:steady_case +caption=Steady case varied boundary conditions +| Parameter | Samples | Nominal Value | Distribution | Deviation | +| --- | --- | --- | --- | --- | +| Incident Heat Flux | 100 | 10$^{7}$ MW/M$^2$ | Uniform | $\pm$5\% | +| Incident Tritium Flux | 100 | 7.90$\times$10$^{-13}$ (normalized) | Uniform | $\pm$5\% | +| Coolant Temperature | 100 | 552 K | Uniform | $\pm$5\% | +| Coolant Tritium Concentration | 100 | 1.0$\times$10$^{-18}$ (normalized) | Uniform | $\pm$1\% | +% parameter space figure +### Transient case: inadvertant shutdown %------------------------------------------------------------------------------------------------- + +!style halign=left +% Transient characteristics (modification to BCs), varied parameters and their ranges +% Transient figure +!table id=tab:inadvertant_shutdown_case +caption=Inadvertant shutdown varied parameter space. +| Parameter | Samples | Nominal Value | Distribution | Deviation | +| --- | --- | --- | --- | --- | +| Peak Duration | 1000 | 1s | Normal | $\sigma$=$\pm$5\% | +| Peak Heat Flux | 1000 | 2$\times$10$^{7}$ MW/M$^2$ | Normal | $\sigma$=$\pm$5\% | +| Coolant Temperature | 1000 | 552 K | Normal | $\sigma$=$\pm$5\% | +| Tungsten Conductivity Factor | 1000 | 1.0 | Uniform | $\sigma$=$\pm$5\% | +% Parameter space figure +### Transient case: edge-localized mode disruption %--------------------------------------------------------------------------------------- + +!style halign=left +% Transient characteristics (modification to BCs), varied parameters and their ranges +% transient figure +!table id=tab:elm_transient_case +caption=Edge-localized mode transient case parameter space. +| Parameter | Samples | Nominal Value | Distribution | Deviation | +| --- | --- | --- | --- | --- | +| Peak Duration | 1000 | 1.32ms | Normal | $\sigma$=$\pm$5\% | +| Peak Heat Flux | 1000 | 1147$\times$10$^{7}$ MW/M$^2$ | Normal | $\sigma$=$\pm$5\% | +| Coolant Temperature | 1000 | 552 K | Normal | $\sigma$=$\pm$5\% | +| Tungsten Conductivity Factor | 1000 | 1.0 | Uniform | $\sigma$=$\pm$5\% | +% Paramete space figure +## Results %------------------------------------------------------------------------------------------------------------------------------- + +### Steady operation %--------------------------------------------------------------------------------------------------------------------- +% Sensitivity to inputs, pick two or three examples +% Correlation between incident heat flux and: W max temp, F_permeation +### Inadvertant shutdown %----------------------------------------------------------------------------------------------------------------- +% Sensitivity to inputs, pick two or three examples +% Correlation between incident heat flux and: W max temp, F_permeation +### Edge-localized mode disruption %------------------------------------------------------------------------------------------------------- +% Sensitivity to inputs, pick two or three examples +% Correlation between incident heat flux and: W max temp, F_permeation +## Complete input files %------------------------------------------------------------------------------------------------------------------ + +### Steady operation %--------------------------------------------------------------------------------------------------------------------- + +#### Subapp input %------------------------------------------------------------------------------------------------------------------------ + +#### Controller input %-------------------------------------------------------------------------------------------------------------------- + +### Inadvertant shutdown %----------------------------------------------------------------------------------------------------------------- + +#### Subapp input + +#### Controller input + +### Edge-localized mode disruption + +#### Subapp input + +#### Controller input diff --git a/doc/content/examples/figures/divertor_monoblock_sensitivity_figures/elm_transient_CCZ_state_frequency.png b/doc/content/examples/figures/divertor_monoblock_sensitivity_figures/elm_transient_CCZ_state_frequency.png new file mode 100644 index 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