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A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems
المؤلفون المشاركون
Cao, Zhi-Wei
Liu, Zhi-Fan
Liu, Zhi-Feng
Wang, Xiao-Hong
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-13، 13ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-07-17
دولة النشر
مصر
عدد الصفحات
13
التخصصات الرئيسية
الملخص EN
Convection-dominated diffusion problems usually develop multiscaled solutions and adaptive mesh is popular to approach high resolution numerical solutions.
Most adaptive mesh methods involve complex adaptive operations that not only increase algorithmic complexity but also may introduce numerical dissipation.
Hence, it is motivated in this paper to develop an adaptive mesh method which is free from complex adaptive operations.
The method is developed based on a range-discrete mesh, which is uniformly distributed in the value domain and has a desirable property of self-adaptivity in the spatial domain.
To solve the time-dependent problem, movement of mesh points is tracked according to the governing equation, while their values are fixed.
Adaptivity of the mesh points is automatically achieved during the course of solving the discretized equation.
Moreover, a singular point resulting from a nonlinear diffusive term can be maintained by treating it as a special boundary condition.
Serval numerical tests are performed.
Residual errors are found to be independent of the magnitude of diffusive term.
The proposed method can serve as a fast and accuracy tool for assessment of propagation of steep fronts in various flow problems.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Cao, Zhi-Wei& Liu, Zhi-Fan& Liu, Zhi-Feng& Wang, Xiao-Hong. 2017. A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1192317
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Cao, Zhi-Wei…[et al.]. A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1192317
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Cao, Zhi-Wei& Liu, Zhi-Fan& Liu, Zhi-Feng& Wang, Xiao-Hong. A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1192317
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1192317
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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