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Identification of Geometric Boundary Configurations in Heat Transfer Problems Via Element-Free Galerkin and Level-Set Methods

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2009-01-01

Journal: NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS

Included Journals: Scopus、EI、SCIE

Volume: 55

Issue: 4

Page Number: 313-323

ISSN: 1040-7790

Abstract: This article presents a numerical model to solve inverse geometry heat transfer problems to determine an unknown boundary shape. The evolution of unknown shapes is described by the level-set method (LSM) and is controlled by a Hamilton-Jacobi equation which is solved by a finite-difference (FD) scheme. The element-free Galerkin method (EFGM) is employed to determine the temperature field in the process of boundary evolution via a slight adjustment of the position and number of nodes. The proposed numerical model is verified via an identification of a curvilinear boundary, and the effects of initial guess, number of probing points, measurement error, and density of EFGM nodes and the LSM FD grid are taken into account.

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