IDENTIFICATION OF GEOMETRIC BOUNDARY CONFIGURATIONS IN HEAT TRANSFER PROBLEMS VIA ELEMENT-FREE GALERKIN AND LEVEL-SET METHODS

He Yiqian; Yang Haitian

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IDENTIFICATION OF GEOMETRIC BOUNDARY CONFIGURATIONS IN HEAT TRANSFER PROBLEMS VIA ELEMENT-FREE GALERKIN AND LEVEL-SET METHODS

机译：通过无元素Galerkin和水平集方法识别传热问题中的几何边界构型

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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.

机译：本文提出了一个数值模型来解决逆几何传热问题，以确定未知的边界形状。未知形状的演化由水平集方法（LSM）描述，并由Hamilton-Jacobi方程控制，该方程由有限差分（FD）方案求解。通过略微调整节点的位置和数量，采用无元素伽勒金方法（EFGM）确定边界演化过程中的温度场。通过识别曲线边界验证了所提出的数值模型，并考虑了初始猜测，探测点数量，测量误差以及EFGM节点和LSM FD网格的密度的影响。

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2009年第4期|共11页
作者
He Yiqian; Yang Haitian;
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原文格式 PDF
正文语种 eng
中图分类 725B0059-B;
关键词
finite-difference; element; are taken into account;

机译：有限差分;元素;考虑在内;

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1. IDENTIFICATION OF GEOMETRIC BOUNDARY CONFIGURATIONS IN HEAT TRANSFER PROBLEMS VIA ELEMENT-FREE GALERKIN AND LEVEL-SET METHODS [J] . He Yiqian, Yang Haitian Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2009,第3a4期

机译：通过无元素Galerkin和水平集方法识别传热问题中的几何边界构型
2. Solving heat transfer problems with phase change via smoothed effective heat capacity and element-free Galerkin methods [J] . Haitian Yang, Yiqian He International communications in heat and mass transfer . 2010,第4期

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3. Element-free Galerkin scaled boundary method based on moving Kriging interpolation for steady heat conduction analysis [J] . Wang Feng, Lin Gao, Zhou Yi-hong, Engineering analysis with boundary elements . 2019,第Sepa期

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4. An Element-free Galerkin scaled boundary method for steady-state heat transfer problems [C] . Yiqian He, Haitian Yang, Andrew J. Deeks Computational methods in engineering . 2012

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6. New algorithms for solving third- and fifth-order two point boundary value problems based on nonsymmetric generalized Jacobi Petrov–Galerkin method [O] . E.H. Doha, W.M. Abd-Elhameed, Y.H. Youssri 2015

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7. An enforced essential boundary condition by penalty method in the element-free Galerkin (EFG) methods [O] . Nguyen Hoai Son 2009

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8. Crack Propagation by Element-Free Galerkin Methods [R] . Belytschko, T. 1997

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IDENTIFICATION OF GEOMETRIC BOUNDARY CONFIGURATIONS IN HEAT TRANSFER PROBLEMS VIA ELEMENT-FREE GALERKIN AND LEVEL-SET METHODS

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