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Mesh-free methods and time integrations for transient heat conduction

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Języki publikacji
EN
Abstrakty
EN
The paper deals with transient heat conduction in functionally gradient materials. The spatial variation of the temperature field is approximated by using alternatively two various mesh free approximations,while the time dependence is treated either by the Laplace transform method and/or by the polynomialinterpolation in the time stepping method. The accuracy and convergence of the numerical results as well as the computational e?ciency of various approaches are compared in numerical test example.
Rocznik
Strony
15--128
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
autor
autor
autor
Bibliografia
  • [1] P. Lancaster, K. Salkauskas. Surfaces generated by moving least square methods. Math. Comput., 37: 141–158, 1981.
  • [2] G.R. Liu. Mesh Free Methods, Moving Beyond the Finite Element Method. CRC Press, Boca Raton, 2003.
  • [3] V. Sladek, J. Sladek, M. Tanaka, Ch. Zhang. Transient heat conduction in anisotropic and functionally graded media by local integral equations. Eng. Anal. Bound. Elem., 29: 1047–1065, 2005.
  • [4] V. Sladek, J. Sladek, Ch. Zhang. Analytical integrations in meshless implementations of local integral equations. In: B.A. Schrefler, U. Perego [Eds.], WCCM 8: Proceedings of the 8th World Congress on Computational Mechanics, CD-ROM, ISBN 978-84-96736-55-9. CIMNE, Barcelona, 2008.
  • [5] V. Sladek, J. Sladek, Ch. Zhang. Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study. Comput. Mech., 41: 827–845, 2008.
  • [6] V. Sladek, J. Sladek, Ch. Zhang. Meshless implementations of local integral equations. In: C.A. Brebbia [Ed.], BEM/MRM 31: Mesh Reduction Methods, 71–82. WIT Press, Southampton, 2009.
  • [7] V. Sladek, J. Sladek. Local integral equations implemented by MLS-approximation and analytical integrations. Eng. Anal. Bound. Elem., 34: 904–913, 2010.
  • [8] H. Stehfest. Algorithm 368: Numerical Inversion of Laplace transform. Commun. Assoc. Comp. Machinery, 13: 47–49, 624, 1970.
  • [9] P.H.Wen,M.H. Aliabadi. An improved meshless collocation method for elastostatic and elastodynamic problems. Commun. Numer. Meth. Engng., 24: 635–651, 2008.
  • [10] L.C. Wrobel. The Boundary Element Method, Vol. 1: Applications in Thermo-Fluids and Acoustics. Wiley, Chichester, 2002.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0069-0007
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