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International Heat Transfer Conference 16

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

LOCAL MESHLESS FINITE DIFFERENCE METHOD FOR COUPLED RADIATIVE AND CONDUCTIVE HEAT TRANSFER

Jie Sun
State Key Laboratory of Coal Combustion and Thermal Packaging Laboratory, School of Energy and Power Engineering Huazhong University of Science and Technology Wuhan 430074, China

YanHua Cheng
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Ruikang Wu
State Key Laboratory of Coal Combustion and Thermal Packaging Laboratory, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Bin Xie
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen 518055, China

Xingjian Yu
State Key Laboratory of Coal Combustion and Thermal Packaging Laboratory, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Bofeng Shang
State Key Laboratory of Coal Combustion and Thermal Packaging Laboratory, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Xiaobing Luo
State Key Laboratory of Coal Combustion and Thermal Packaging Laboratory, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

DOI: 10.1615/IHTC16.cip.023345
pages 2607-2616


KEY WORDS: Radiation, Conduction, Meshless method, Local meshless finite difference

Abstract

A local meshless finite difference method (LMFDM) is developed to solve coupled radiative and conductive heat transfer problems in multidimensional participating media. Local meshless finite difference method (LMFDM) originates from the generalized finite difference method, in which Taylor series expansion and weighted moving least squares are employed to construct the approximation of unknown function and the difference scheme of the derivatives at each evaluated point, and the pseudo-shape functions have delta Kronecker property. The radiative transfer equation (RTE) and energy conservation equation are discretized directly at nodes by the collocation method. LMFDM belongs to a class of truly meshless methods which require no mesh or grid, and can be readily implemented in a set of uniform or irregular node distributions with no node connectivity. Performances of the LMFDM is compared to numerical results reported in the literature via a variety of coupled radiative and conductive heat transfer problems in 1D and 2D geometries. It is demonstrated that the local meshless finite difference method provides high accuracy to solve coupled radiative and conductive heat transfer problems in multidimensional participating media with uniform and irregular node distribution, especially for coupled heat transfer problems in irregular geometry with Cartesian coordinates. In addition, it is extremely simple to implement.

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