Academic Journal
First-Order Comprehensive Adjoint Method for Computing Operator-Valued Response Sensitivities to Imprecisely Known Parameters, Internal Interfaces and Boundaries of Coupled Nonlinear Systems: II. Application to a Nuclear Reactor Heat Removal Benchmark
| العنوان: | First-Order Comprehensive Adjoint Method for Computing Operator-Valued Response Sensitivities to Imprecisely Known Parameters, Internal Interfaces and Boundaries of Coupled Nonlinear Systems: II. Application to a Nuclear Reactor Heat Removal Benchmark |
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| المؤلفون: | Cacuci, Dan Gabriel |
| المصدر: | Faculty Publications |
| بيانات النشر: | Scholar Commons |
| سنة النشر: | 2020 |
| المجموعة: | University of South Carolina Libraries: Scholar Commons |
| مصطلحات موضوعية: | adjoint sensitivity analysis methodology, coupled nonlinear physical systems, operator-valued model response, exact first-order response sensitivities to model parameters, internal interfaces and external boundaries, spectral expansion, collocation, Mechanical Engineering |
| الوصف: | This work illustrates the application of a comprehensive first-order adjoint sensitivity analysis methodology (1st-CASAM) to a heat conduction and convection analytical benchmark problem which simulates heat removal from a nuclear reactor fuel rod. This analytical benchmark problem can be used to verify the accuracy of numerical solutions provided by software modeling heat transport and fluid flow systems. This illustrative heat transport benchmark shows that collocation methods require one adjoint computation for every collocation point while spectral expansion methods require one adjoint computation for each cardinal function appearing in the respective expansion when recursion relations cannot be developed between the corresponding adjoint functions. However, it is also shown that spectral methods are much more efficient when recursion relations provided by orthogonal polynomials make it possible to develop recursion relations for computing the corresponding adjoint functions. When recursion relations cannot be developed for the adjoint functions, the collocation method is probably more efficient than the spectral expansion method, since the sources for the corresponding adjoint systems are just Dirac delta functions (which makes the respective computation equivalent to the computation of a Green’s function), rather than the more elaborated sources involving high-order Fourier basis functions or orthogonal polynomials. For systems involving many independent variables, it is likely that a hybrid combination of spectral expansions in some independent variables and collocation in the remaining independent variables would provide the most efficient computational outcome. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | https://scholarcommons.sc.edu/emec_facpub/804; https://scholarcommons.sc.edu/context/emec_facpub/article/1807/viewcontent/jne_01_00003.pdf |
| DOI: | 10.3390/jne1010003; |
| الاتاحة: | https://scholarcommons.sc.edu/emec_facpub/804 https://doi.org/10.3390/jne1010003; https://scholarcommons.sc.edu/context/emec_facpub/article/1807/viewcontent/jne_01_00003.pdf |
| Rights: | © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/ ). |
| رقم الانضمام: | edsbas.6DFF642E |
| قاعدة البيانات: | BASE |
| DOI: | 10.3390/jne1010003; |
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