Using the Nonuniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations
المؤلفون المشاركون
Hall, Brenton T.
Chou, Ching-Shan
Chen, Jen-Ping
المصدر
International Journal of Aerospace Engineering
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-01-03
دولة النشر
مصر
عدد الصفحات
15
الملخص EN
Partial Differential Equation simulations can produce large amounts of data.
These datasets are very slow to transfer, for example, from an off-site supercomputer to a local research facility.
There have been many model reduction techniques that have been proposed and utilized over the past three decades.
Two of the most popular techniques are the Proper Orthogonal Decomposition and Dynamic Mode Decomposition.
Nonuniform Dynamic Mode Decomposition (NU-DMD) is one of the newest techniques as it was introduced in 2015 by Guéniat et al.
In this paper, the NU-DMD’s mathematics are explained in detail, and three versions of the NU-DMD’s algorithm are outlined.
Furthermore, different numerical experiments were performed on the NU-DMD to ascertain its behavior with respect to errors, memory usage, and computational efficiency.
It was shown that the NU-DMD could reduce an advection-diffusion simulation to 6.0075% of its original memory storage size.
The NU-DMD was also applied to a computational fluid dynamics simulation of a NASA single-stage compressor rotor, which resulted in a reduced model of the simulation (using only three of the five simulation variables) that used only about 4.67% of the full simulation’s storage with an overall average percent error of 8.90%.
It was concluded that the NU-DMD, if used appropriately, could be used to possibly reduce a model that uses 400 GB of memory to a model that uses as little as 18.67 GB with less than 9% error.
Further conclusions were made about how to best implement the NU-DMD.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Hall, Brenton T.& Chou, Ching-Shan& Chen, Jen-Ping. 2019. Using the Nonuniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations. International Journal of Aerospace Engineering،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1157036
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Hall, Brenton T.…[et al.]. Using the Nonuniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations. International Journal of Aerospace Engineering No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1157036
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Hall, Brenton T.& Chou, Ching-Shan& Chen, Jen-Ping. Using the Nonuniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations. International Journal of Aerospace Engineering. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1157036
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1157036
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