A New Reduced Stabilized Mixed Finite-Element Method Based on Proper Orthogonal Decomposition for the Transient Navier-Stokes Equations
المؤلفون المشاركون
Di, Zhenhua
Xie, Dongxiu
Li, Jian
Tian, Xiangjun
Wang, Aiwen
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2011، العدد 2011 (31 ديسمبر/كانون الأول 2011)، ص ص. 1-19، 19ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2011-10-20
دولة النشر
مصر
عدد الصفحات
19
التخصصات الرئيسية
الملخص EN
A reduced stabilized mixed finite-element (RSMFE) formulation based on proper orthogonal decomposition (POD) for the transient Navier-Stokes equations is presented.
An ensemble of snapshots is compiled from the transient solutions derived from a stabilized mixed finite-element (SMFE) method based on two local Gauss integrations for the two-dimensional transient Navier-Stokes equations by using the lowest equal-order pair of finite elements.
Then, the optimal orthogonal bases are reconstructed by implementing POD techniques for the ensemble snapshots.
Combining POD with the SMFE formulation, a new low-dimensional and highly accurate SMFE method for the transient Navier-Stokes equations is obtained.
The RSMFE formulation could not only greatly reduce its degrees of freedom but also circumvent the constraint of inf-sup stability condition.
Error estimates between the SMFE solutions and the RSMFE solutions are derived.
Numerical tests confirm that the errors between the RSMFE solutions and the SMFE solutions are consistent with the the theoretical results.
Conclusion can be drawn that RSMFE method is feasible and efficient for solving the transient Navier-Stokes equations.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Wang, Aiwen& Li, Jian& Di, Zhenhua& Tian, Xiangjun& Xie, Dongxiu. 2011. A New Reduced Stabilized Mixed Finite-Element Method Based on Proper Orthogonal Decomposition for the Transient Navier-Stokes Equations. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-506188
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Wang, Aiwen…[et al.]. A New Reduced Stabilized Mixed Finite-Element Method Based on Proper Orthogonal Decomposition for the Transient Navier-Stokes Equations. Mathematical Problems in Engineering No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-506188
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Wang, Aiwen& Li, Jian& Di, Zhenhua& Tian, Xiangjun& Xie, Dongxiu. A New Reduced Stabilized Mixed Finite-Element Method Based on Proper Orthogonal Decomposition for the Transient Navier-Stokes Equations. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-506188
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-506188
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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