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Volumn 49, Issue 11, 2010, Pages 2117-2127

Numerical simulation of joule heating phenomenon using meshless RBF-DQ method

Author keywords

Electric potential; Joule heating; Mesh free method; Radial basis function (RBF); Transient heat conduction

Indexed keywords

CURRENT TECHNIQUES; DIFFERENT GEOMETRY; DIFFERENTIAL QUADRATURE; DQ METHOD; ELECTRICAL POTENTIAL; FINITE ELEMENTS; FUNCTION APPROXIMATION; HEAT TRANSFER EQUATIONS; MESH-FREE METHOD; MESHLESS; NUMERICAL SIMULATION; RADIAL BASIS FUNCTIONS; TRANSIENT HEAT CONDUCTION;

EID: 77956614738     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2010.06.008     Document Type: Article
Times cited : (20)

References (36)
  • 1
    • 0003053355 scopus 로고
    • Electrical conduction in solids. II. Theory of temperature-dependent conductors
    • J.A. Greenwood, and J.B.P. Williamson Electrical conduction in solids. II. Theory of temperature-dependent conductors Proc. R. Soc. Lond. A 246 1244 1958 13 31
    • (1958) Proc. R. Soc. Lond. , vol.246 , Issue.1244 , pp. 13-31
    • Greenwood, J.A.1    Williamson, J.B.P.2
  • 3
    • 0035246797 scopus 로고    scopus 로고
    • Crystallization of silicon thin films by current-induced joule heating
    • DOI 10.1016/S0040-6090(00)01622-9
    • T. Sameshima, and K. Ozaki Crystallization of silicon thin films by currentinduced Joule heating Thin Solid Films 383 1-2 2001 107 109 (Pubitemid 32263352)
    • (2001) Thin Solid Films , vol.383 , Issue.1-2 , pp. 107-109
    • Sameshima, T.1    Ozaki, K.2
  • 4
    • 54849419319 scopus 로고    scopus 로고
    • Heat conduction in a symmetric body subjected to a current flow of symmetric input and output
    • M. Saka, Y.X. Sun, and S. Reaz Ahmed Heat conduction in a symmetric body subjected to a current flow of symmetric input and output Int. J. Therm. Sci. 48 2009 114 121
    • (2009) Int. J. Therm. Sci. , vol.48 , pp. 114-121
    • Saka, M.1    Sun, Y.X.2    Reaz Ahmed, S.3
  • 5
    • 0016940795 scopus 로고
    • Electromigration in thin aluminum films on titanium nitride
    • I.A. Blech Electromigration in thin aluminum films on titanium nitride J. Appl. Phys. 47 4 1976 1203 1208
    • (1976) J. Appl. Phys. , vol.47 , Issue.4 , pp. 1203-1208
    • Blech, I.A.1
  • 6
    • 0035545598 scopus 로고    scopus 로고
    • Electromigration subjected to Joule heating under pulsed DC stress
    • W. Wu, J.S. Yuan, S.H. Kang, and A.S. Oates Electromigration subjected to Joule heating under pulsed DC stress Solid-State Electron 45 12 2001 2051 2056
    • (2001) Solid-State Electron , vol.45 , Issue.12 , pp. 2051-2056
    • Wu, W.1    Yuan, J.S.2    Kang, S.H.3    Oates, A.S.4
  • 7
    • 33745257588 scopus 로고    scopus 로고
    • Electromigration failure of metal lines
    • H. Abé, K. Sasagawa, and M. Saka Electromigration failure of metal lines Int. J. Fract. 138 1-4 2006 219 240
    • (2006) Int. J. Fract. , vol.138 , Issue.14 , pp. 219-240
    • Abé, H.1    Sasagawa, K.2    Saka, M.3
  • 8
    • 29144504068 scopus 로고    scopus 로고
    • Formation of metallic nanowires by utilizing electromigration
    • M. Saka, and R. Ueda Formation of metallic nanowires by utilizing electromigration J. Mater. Res. 20 10 2005 2712 2718
    • (2005) J. Mater. Res. , vol.20 , Issue.10 , pp. 2712-2718
    • Saka, M.1    Ueda, R.2
  • 9
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • B. Nayroles, G. Touzot, and P. Villon Generalizing the finite element method: diffuse approximation and diffuse elements Comput. Mech. 10 1992 307 318
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 12
    • 0032136132 scopus 로고    scopus 로고
    • New meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • S.N. Atluri, and T. Zhu New meshless local Petrov-Galerkin (MLPG) approach in computational mechanics Comput. Mech. 22 1998 117 127
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 14
    • 0001765873 scopus 로고
    • A numerical approach to testing of the fission hypothesis
    • L.B. Lucy A numerical approach to testing of the fission hypothesis Astron. J. 8 1977 1013 1024
    • (1977) Astron. J. , vol.8 , pp. 1013-1024
    • Lucy, L.B.1
  • 16
    • 0030294780 scopus 로고
    • A finite point method in computational mechanics application to convective transport and fluid flow
    • E. Onate, S. Idelsohn, O. Zienkiewicz, and R.L. Taylor A finite point method in computational mechanics application to convective transport and fluid flow Int. J. Numer. Methods Eng. 39 1995 3839 3866
    • (1995) Int. J. Numer. Methods Eng. , vol.39 , pp. 3839-3866
    • Onate, E.1    Idelsohn, S.2    Zienkiewicz, O.3    Taylor, R.L.4
  • 17
    • 32144455438 scopus 로고    scopus 로고
    • Meshless method for radiation heat transfer in graded index medium
    • L.H. Liu Meshless method for radiation heat transfer in graded index medium Int. J. Heat Mass Transfer 49 2006 219 229
    • (2006) Int. J. Heat Mass Transfer , vol.49 , pp. 219-229
    • Liu, L.H.1
  • 18
    • 33646546068 scopus 로고    scopus 로고
    • A meshless model for transient heat conduction in functionally graded materials
    • H. Wang, Q.H. Qin, and Y.L. Kang A meshless model for transient heat conduction in functionally graded materials, Comput. Mech. 38 2006 51 60
    • (2006) Comput. Mech. , vol.38 , pp. 51-60
    • Wang, H.1    Qin, Q.H.2    Kang, Y.L.3
  • 19
    • 27744461613 scopus 로고    scopus 로고
    • Transient heat conduction in anisotropic and functionally grade media by local integral equations
    • V. Sladek, J. Sladek, M. Tanaka, and C.H. Zhang Transient heat conduction in anisotropic and functionally grade media by local integral equations Eng. Anal. Bound. Elem. 29 2005 1047 1065
    • (2005) Eng. Anal. Bound. Elem. , vol.29 , pp. 1047-1065
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3    Zhang, C.H.4
  • 20
    • 37849187035 scopus 로고    scopus 로고
    • Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method
    • J. Sladek, V. Sladek, C. Hellmich, and J. Eberhardsteiner Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method Comput. Mech. 39 2007 323 333
    • (2007) Comput. Mech. , vol.39 , pp. 323-333
    • Sladek, J.1    Sladek, V.2    Hellmich, C.3    Eberhardsteiner, J.4
  • 21
    • 41949137483 scopus 로고    scopus 로고
    • Meshless method based on the local weak-forms for steady-state heat conduction problems
    • X.H. Wu, and W.Q. Tao Meshless method based on the local weak-forms for steady-state heat conduction problems Int. J. Heat Mass Transf. 51 2008 3103 3112
    • (2008) Int. J. Heat Mass Transf. , vol.51 , pp. 3103-3112
    • Wu, X.H.1    Tao, W.Q.2
  • 22
    • 0025229330 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics-I. Surface approximations and partial derivative estimates
    • E.J. Kansa Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics-I. Surface approximations and partial derivative estimates Comput. Math. Appl. 19 1990 127 145
    • (1990) Comput. Math. Appl. , vol.19 , pp. 127-145
    • Kansa, E.J.1
  • 23
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations
    • E.J. Kansa Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations Comput. Math. Appl. 19 6-8 1990 147 161
    • (1990) Comput. Math. Appl. , vol.19 , Issue.68 , pp. 147-161
    • Kansa, E.J.1
  • 24
    • 49549107726 scopus 로고    scopus 로고
    • An improved meshless collocation method for elastostatic and elasto-dynamic problems
    • P.H. Wen, and M.H. Aliabadi An improved meshless collocation method for elastostatic and elasto-dynamic problems J. Comm. Numer. Methods Eng. 24 8 2008 635 651
    • (2008) J. Comm. Numer. Methods Eng. , vol.24 , Issue.8 , pp. 635-651
    • Wen, P.H.1    Aliabadi, M.H.2
  • 25
    • 0037436111 scopus 로고    scopus 로고
    • Local radial basis function-based differential quadrature method and its application to solve two dimensional incompressible Navier-Stokes equations
    • C. Shu, H. Ding, and K.S. Yeo Local radial basis function-based differential quadrature method and its application to solve two dimensional incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Eng. 192 2003 941 954
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , pp. 941-954
    • Shu, C.1    Ding, H.2    Yeo, K.S.3
  • 26
    • 22244445528 scopus 로고    scopus 로고
    • Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments
    • H. Ding, C. Shu, and D.B. Tang Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments Int. J. Numer. Methods Eng. 63 2005 1513 1529
    • (2005) Int. J. Numer. Methods Eng. , vol.63 , pp. 1513-1529
    • Ding, H.1    Shu, C.2    Tang, D.B.3
  • 27
    • 14944367215 scopus 로고    scopus 로고
    • An upwind local RBF-DQ method for simulation of inviscid compressible flows
    • C. Shu, H. Ding, H.Q. Chen, and T.G. Wang An upwind local RBF-DQ method for simulation of inviscid compressible flows Comput. Methods Appl. Mech. Eng. 194 2005 2001 2017
    • (2005) Comput. Methods Appl. Mech. Eng. , vol.194 , pp. 2001-2017
    • Shu, C.1    Ding, H.2    Chen, H.Q.3    Wang, T.G.4
  • 28
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • R.E. Bellman, B.G. Kashef, and J. Casti Differential quadrature:a technique for the rapid solution of nonlinear partial differential equations J. Comput. Phys. 10 1972 40 52
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 29
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimension incompressible Navier-Stokes equations
    • C. Shu, and B.E. Richards Application of generalized differential quadrature to solve two-dimension incompressible Navier-Stokes equations Int. J. Numer. Methods Fluids 15 1992 791 798
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 30
    • 0036462741 scopus 로고    scopus 로고
    • Numerical simulation of natural convection in a square cavity by SIMPLE-generalized differential quadrature method
    • DOI 10.1016/S0045-7930(01)00024-X, PII S004579300100024X
    • C. Shu, and K.H.A. Wee Numerical simulation of natural convection in a square cavity by SIMPLE-generalized differential quadrature method Comput. Fluids 31 2002 209 226 (Pubitemid 32961888)
    • (2002) Computers and Fluids , vol.31 , Issue.2 , pp. 209-226
    • Shu, C.1    Wee, K.H.A.2
  • 31
    • 0242381287 scopus 로고    scopus 로고
    • Solution of magnetohydrodynamic flow in a rectangular duct by differential quadrature method
    • M. Tezer-Sezgin Solution of magnetohydrodynamic flow in a rectangular duct by differential quadrature method Comput. Fluids 33 2004 533 547
    • (2004) Comput. Fluids , vol.33 , pp. 533-547
    • Tezer-Sezgin, M.1
  • 32
    • 34047267074 scopus 로고
    • Parallel simulation of incompressible viscous flows by generalized differential quadrature
    • C. Shu, and B.E. Richards Parallel simulation of incompressible viscous flows by generalized differential quadrature Comput. Syst. Eng. 1992 271 281
    • (1992) Comput. Syst. Eng. , pp. 271-281
    • Shu, C.1    Richards, B.E.2
  • 33
    • 0037073036 scopus 로고    scopus 로고
    • Block-marching in time with DQ discretization: An efficient method for time-dependent problems
    • C. Shu a, Q. Yao, and K.S. Yeo Block-marching in time with DQ discretization: an efficient method for time-dependent problems Comput. Methods Appl. Mech. Eng. 191 2002 4587 4597
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 4587-4597
    • Shu, A.C.1    Yao, Q.2    Yeo, K.S.3
  • 35
    • 0000286812 scopus 로고
    • Using Krylov method in the solution of large-scale differential-algebraic systems
    • P.N. Brown, A.C. Hindmarsh, and L.R. Petzold Using Krylov method in the solution of large-scale differential-algebraic systems SIAM J. Sci. Comput. (USA) 15 1994 1467 1488
    • (1994) SIAM J. Sci. Comput. (USA) , vol.15 , pp. 1467-1488
    • Brown, P.N.1    Hindmarsh, A.C.2    Petzold, L.R.3


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