CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
Estimation Of Constant Thermal Conductivity By Use Of Proper Orthogonal Decomposition
Authors
Ryszard A. Białecki
Alain J. Kassab
Ziemowit Ostrowski
Publication date
1 January 2005
Publisher
'Information Bulletin on Variable Stars (IBVS)'
Abstract
An inverse approach is developed to estimate the unknown heat conductivity and the convective heat transfer coefficient. The method relies on proper orthogonal decomposition (POD) in order to filter out the higher frequency error. The idea is to solve a sequence of direct problems within the body under consideration. The solution of each problem is sampled at a predefined set of points. Each sampled temperature field, known in POD parlance as a snapshot, is obtained for an assumed value of the retrieved parameters. POD analysis, as an efficient mean of detecting correlation between the snapshots, yields a small set of orthogonal vectors (POD basis), constituting an optimal set of approximation functions. The temperature field is then expressed as a linear combination of the POD vectors. In standard applications, the coefficients of this combination are assumed to be constant. In the proposed approach, the coefficients are allowed to be a nonlinear function of the retrieved parameters. The result is a trained POD base, which is then used in inverse analysis, resorting to a condition of minimization of the discrepancy between the measured temperatures and values calculated from the model. Several numerical examples show the robustness and numerical stability of the scheme. © Springer-Verlag 2005
Similar works
Full text
Available Versions
University of Central Florida (UCF): STARS (Showcase of Text, Archives, Research & Scholarship)
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:stars.library.ucf.edu:scop...
Last time updated on 18/10/2022