Numerical analysis for non-Fourier thermal behavior of biological multilayer skin tissue subjected to impulsive heat source
Received:June 08, 2016  Revised:December 20, 2016
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DOI:10.7511/jslx201706002
KeyWord:thermal shock  time-discontinue, finite element method  multi-layer skin tissue  non-Fourier heat conduction
           
AuthorInstitution
郭攀 郑州大学 力学与工程科学学院工程力学系, 微纳成型技术国家级国际联合研究中心, 郑州
武文华 大连理工大学 运载工程与力学学部工程力学系, 工业装备结构分析国家重点实验室, 大连
赵军 郑州大学 力学与工程科学学院, 郑州
李倩 郑州大学 力学与工程科学学院工程力学系, 微纳成型技术国家级国际联合研究中心, 郑州
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Abstract:
      At present,the traditional time-stepping numerical method,such as Newmark method,produces numerical oscillations at the wave-after,wave-front stage in solving the non-Fourier bio-heat problems of multilayer tissue under high frequency heat load.The spurious non-physical oscillations obviously decrease the accuracy and stability of the simulated results.This paper presents a modified time discontinuous Galerkin finite element method (MDGFEM).The basic unknown variable (temperature) and its time derivative are assumed to be discontinuous and interpolated individually at each time level in time domain respectively.The artificial damping term is induced to eliminate spurious numerical oscillations the wave-front stage.Numerical simulations show the advantages of the present MDGFEM in eliminating the spurious numerical oscillations at the wave-after,wave-front stage and the interface between layers and in catching the discontinuous behavior in wave front surface than that of Newmark and former DGFEM.