An efficient methodology to analyze plasma edge model parameter sensitivities

Quantifying uncertainties on code outputs is an important step for code-based design and scenario development. Because of the high computational cost of plasma edge transport simulations, the propagation of uncertainties on input parameters quickly becomes intractable. The paper starts with a short...

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Main Authors: Maarten Blommaert, Detlev Reiter, Martine Baelmans
Format: Article
Language:English
Published: Elsevier 2017-08-01
Series:Nuclear Materials and Energy
Online Access:http://www.sciencedirect.com/science/article/pii/S2352179116301272
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spelling doaj-5f2bdbd7e85b4addb55f825771dcb8742020-11-24T23:59:52ZengElsevierNuclear Materials and Energy2352-17912017-08-011210491054An efficient methodology to analyze plasma edge model parameter sensitivitiesMaarten Blommaert0Detlev Reiter1Martine Baelmans2Corresponding author.; KU Leuven, Department of Mechanical Engineering, 3001 Leuven, BelgiumInstitute of Energy and Climate Research (IEK-4), FZ Jülich GmbH, D-52425  Jülich, GermanyKU Leuven, Department of Mechanical Engineering, 3001 Leuven, BelgiumQuantifying uncertainties on code outputs is an important step for code-based design and scenario development. Because of the high computational cost of plasma edge transport simulations, the propagation of uncertainties on input parameters quickly becomes intractable. The paper starts with a short overview of current concepts to deal with this issue. A practical in-parts adjoint approach to sensitivity calculation is then applied for computationally efficient uncertainty propagation. The cumbersome derivation-by-hand of the sensitivity expressions is avoided, while the computational cost is roughly kept independent of the number of uncertain parameters. Exemplarily sensitivities of the outer strike point temperature and a heat load objective are calculated for a WEST case. Transport coefficients, boundary condition parameters, rate coefficients, as well as uncertain parameters in the magnetic equilibrium calculation are considered. The sensitivities are verified to be accurate, while the computational cost to compute the entire sensitivity matrix is equivalent to only one additional plasma edge simulation for each output quantity of interest. Furthermore, several logical trends are observed in the sensitivities. Keywords: Plasma edge simulation, Sensitivity calculation, Continuous adjoint methodhttp://www.sciencedirect.com/science/article/pii/S2352179116301272
collection DOAJ
language English
format Article
sources DOAJ
author Maarten Blommaert
Detlev Reiter
Martine Baelmans
spellingShingle Maarten Blommaert
Detlev Reiter
Martine Baelmans
An efficient methodology to analyze plasma edge model parameter sensitivities
Nuclear Materials and Energy
author_facet Maarten Blommaert
Detlev Reiter
Martine Baelmans
author_sort Maarten Blommaert
title An efficient methodology to analyze plasma edge model parameter sensitivities
title_short An efficient methodology to analyze plasma edge model parameter sensitivities
title_full An efficient methodology to analyze plasma edge model parameter sensitivities
title_fullStr An efficient methodology to analyze plasma edge model parameter sensitivities
title_full_unstemmed An efficient methodology to analyze plasma edge model parameter sensitivities
title_sort efficient methodology to analyze plasma edge model parameter sensitivities
publisher Elsevier
series Nuclear Materials and Energy
issn 2352-1791
publishDate 2017-08-01
description Quantifying uncertainties on code outputs is an important step for code-based design and scenario development. Because of the high computational cost of plasma edge transport simulations, the propagation of uncertainties on input parameters quickly becomes intractable. The paper starts with a short overview of current concepts to deal with this issue. A practical in-parts adjoint approach to sensitivity calculation is then applied for computationally efficient uncertainty propagation. The cumbersome derivation-by-hand of the sensitivity expressions is avoided, while the computational cost is roughly kept independent of the number of uncertain parameters. Exemplarily sensitivities of the outer strike point temperature and a heat load objective are calculated for a WEST case. Transport coefficients, boundary condition parameters, rate coefficients, as well as uncertain parameters in the magnetic equilibrium calculation are considered. The sensitivities are verified to be accurate, while the computational cost to compute the entire sensitivity matrix is equivalent to only one additional plasma edge simulation for each output quantity of interest. Furthermore, several logical trends are observed in the sensitivities. Keywords: Plasma edge simulation, Sensitivity calculation, Continuous adjoint method
url http://www.sciencedirect.com/science/article/pii/S2352179116301272
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