![](/images/graphics-bg.png)
Analysis of Spatial Discretization Error Estimators Implemented in ARES Transport Code for SN Equations
المؤلفون المشاركون
Zhang, Bin
Chen, Yixue
Zhang, Liang
Liu, Cong
المصدر
Science and Technology of Nuclear Installations
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-07-09
دولة النشر
مصر
عدد الصفحات
10
الملخص EN
The discrete ordinates method (SN) is one of the mainstream methods for neutral particle transport calculations.
Assessing the quality of the numerical solution and controlling the discrete error are essential parts of large-scale high-fidelity simulations of nuclear systems.
Three error estimators, a two-mesh estimator, a residual-based estimator, and a dual-weighted residual estimator, are derived and implemented in the ARES transport code to evaluate the error of zeroth-order spatial discretization for SN equations.
The difference in scalar fluxes on coarse and fine meshes is adopted to indicate the error in the two-mesh method.
To avoid zero residual in zeroth-order discretization, angular fluxes within one cell are reconstructed by Legendre polynomials.
The error is estimated by inverting the discrete transport operator using the estimated directional residual as an anisotropic source.
The inner product of the forward directional residual and the adjoint angular flux is employed to quantify the error in quantities of interest which can be denoted by a linear functional of forward angular flux.
Method of Manufactured Solutions (MMS) is adopted to generate analytical solutions for SN equation with scattering and the determined true error is used to evaluate the effectivity of these estimators.
Promising results are obtained in the numerical results for both homogeneous and heterogeneous cases.
The larger error region is well captured and the average effectivity index for the local error estimation is less than unity.
For the series test problems, the estimated goal quantity error can be contained within an order of magnitude around the exact error.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Zhang, Liang& Zhang, Bin& Liu, Cong& Chen, Yixue. 2018. Analysis of Spatial Discretization Error Estimators Implemented in ARES Transport Code for SN Equations. Science and Technology of Nuclear Installations،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1214935
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Zhang, Liang…[et al.]. Analysis of Spatial Discretization Error Estimators Implemented in ARES Transport Code for SN Equations. Science and Technology of Nuclear Installations No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1214935
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Zhang, Liang& Zhang, Bin& Liu, Cong& Chen, Yixue. Analysis of Spatial Discretization Error Estimators Implemented in ARES Transport Code for SN Equations. Science and Technology of Nuclear Installations. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1214935
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1214935
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر
![](/images/kashef-image.png)