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Solution of Nonlinear Transient Heat Transfer Problems

In the presented thesis work, meshfree method with distance fields was extended to obtain solution of nonlinear transient heat transfer problems. The thesis work involved development and implementation of numerical algorithms, data structure, and software. Numerical and computational properties of the meshfree method with distance fields were investigated. Convergence and accuracy of the methodology was validated by analytical solutions, and solutions produced by commercial FEM software (ANSYS 12.1). The research was focused on nonlinearities caused by temperature-dependent thermal conductivity. The behavior of the developed numerical algorithms was observed for both weak and strong temperature-dependency of thermal conductivity. Oseen and Newton-Kantorovich linearization techniques were applied to linearized the governing equation and boundary conditions. Results of the numerical experiments showed that the meshfree method with distance fields has the potential to produced fast accurate solutions. The method enables all prescribed boundary conditions to be satisfied exactly.

Identiferoai:union.ndltd.org:fiu.edu/oai:digitalcommons.fiu.edu:etd-1395
Date09 November 2010
CreatorsBuckley, Donovan O
PublisherFIU Digital Commons
Source SetsFlorida International University
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceFIU Electronic Theses and Dissertations

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