求解辐射导热耦合换热的自然单元法.pdf

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JOURNAL OF ENGINEERING THERMOPHYSICS May, 2013
2013


(
150001)




Sibson Laplace Laplace

Æ




Laplace



Æ : TK124 :A : 0253–231X(2013)05–0918–05
Natural Element Method for Coupled Radiative and
Conductive Heat Transfer
ZHANG Yong YI Hong-Liang TAN He-Ping
(School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China)
Abstract Natural element method has been employed to solve two-dimensional coupled radiative
and conductive heat transfer problems. Natural element method (NEM) is a kind of meshless method
based on natural neighbor interpolation. Unlike most other meshless methods, the shape function
used in NEM has interpolation property and its support domain is anisotropy. In the framework
of NEM, the natural neighbor interpolations are employed to constructed shape function, such as
Sibson interpolant and Laplace interpolant. Laplace interpolant is introduced in this paper, and
the convergence property of it is investigated. The Galerkin weighted residual meth