Radial integration boundary element method for heat conduction problems with convective heat transfer boundary
A new boundary domain integral equation with convective heat transfer boundary is presented to solve variable coefficient heat conduction problems. Green's function for the Laplace equation is used to derive the basic integral equation with varying heat conductivities, and as a result, domain i...
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| Vydáno v: | Numerical heat transfer. Part B, Fundamentals Ročník 72; číslo 4; s. 300 - 310 |
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| Hlavní autoři: | , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Philadelphia
Taylor & Francis
03.10.2017
Taylor & Francis Ltd |
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| ISSN: | 1040-7790, 1521-0626 |
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| Abstract | A new boundary domain integral equation with convective heat transfer boundary is presented to solve variable coefficient heat conduction problems. Green's function for the Laplace equation is used to derive the basic integral equation with varying heat conductivities, and as a result, domain integrals are included in the derived integral equations. The existing domain integral is converted into an equivalent boundary integral using the radial integration method by expressing the normalized temperature as a series of radial basis functions. This treatment results in a pure boundary element analysis algorithm and requires no internal cells to evaluate the domain integral. Numerical examples are presented to demonstrate the accuracy and efficiency of the present method. |
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| AbstractList | A new boundary domain integral equation with convective heat transfer boundary is presented to solve variable coefficient heat conduction problems. Green's function for the Laplace equation is used to derive the basic integral equation with varying heat conductivities, and as a result, domain integrals are included in the derived integral equations. The existing domain integral is converted into an equivalent boundary integral using the radial integration method by expressing the normalized temperature as a series of radial basis functions. This treatment results in a pure boundary element analysis algorithm and requires no internal cells to evaluate the domain integral. Numerical examples are presented to demonstrate the accuracy and efficiency of the present method. |
| Author | Wang, Jing Gao, Xiao-Wei Yang, Kai Peng, Hai-Feng Yin, Yan-Xin |
| Author_xml | – sequence: 1 givenname: Jing surname: Wang fullname: Wang, Jing organization: Research & Development Center, China Academy of Launch Vehicle Technology – sequence: 2 givenname: Hai-Feng surname: Peng fullname: Peng, Hai-Feng organization: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology – sequence: 3 givenname: Kai surname: Yang fullname: Yang, Kai email: kyang@dlut.edu.cn organization: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology – sequence: 4 givenname: Yan-Xin surname: Yin fullname: Yin, Yan-Xin organization: Research & Development Center, China Academy of Launch Vehicle Technology – sequence: 5 givenname: Xiao-Wei surname: Gao fullname: Gao, Xiao-Wei organization: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology |
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| Cites_doi | 10.4028/www.scientific.net/KEM.385-387.881 10.1016/j.cma.2008.12.007 10.1016/j.enganabound.2010.01.008 10.1016/j.enganabound.2011.10.006 10.1016/j.enganabound.2007.05.002 10.1002/nme.715 10.1007/s004660050005 10.1002/nme.1602 10.1016/j.enganabound.2014.08.010 10.1016/j.ijheatmasstransfer.2016.09.015 10.1016/j.commatsci.2003.08.006 10.1016/j.ijheatmasstransfer.2017.01.030 10.1016/j.ijheatmasstransfer.2013.03.071 10.1115/1.1433478 10.1016/j.ijheatmasstransfer.2016.02.061 10.1080/10407782.2016.1173471 10.1016/S0955-7997(02)00039-5 10.1016/j.cma.2015.02.007 10.1016/j.cma.2015.01.006 10.1007/s10409-013-0031-4 10.1016/j.enganabound.2008.08.009 10.1016/j.enganabound.2011.04.003 10.1080/10407790.2014.922854 10.1080/10407790.2013.873311 10.1016/j.enganabound.2012.09.014 10.1016/j.cma.2004.02.018 10.1007/978-3-662-11273-1_22 |
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| SubjectTerms | Basis functions Boundary element method Conduction heating Conductive heat transfer Convective heat transfer Green's functions Integral equations Laplace equation Mathematical analysis Radial basis function |
| Title | Radial integration boundary element method for heat conduction problems with convective heat transfer boundary |
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