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| Time discontinuous Galerkin finite element method to non-Fourier heat transfer behavior in solid |
| Revised:March 17, 2005 |
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| DOI：10.7511/jslx20072042 |
| KeyWord:non-Fourier,heat wave propagation,discontinuous Galerkin finite element method |
| WU Wen-hua LI Xi-kui |
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| Abstract: |
| This paper deals with the numerical simulation of heat wave propagation.The present Discontinuous Galerkin(DG) finite element method [1] is applied to the non-Fourier heat transport equation. Nodal temperature and its time-derivative are chosen as independent degree of freedom.The main distinct characteristic of the proposed DG method is that cubic(Hermite's polynomial) and linear interpolations for both temperature and its time-derivative in the time domain.And the main advantage of the DG method is the continuity of the temperature at each discrete time instant is exactly ensured,whereas discontinuity of the temperature's velocity at the discrete time levels remains.Numerical results illustrate good performance of the present method in the problem of non-Fourier heat wave behavior in solid in eliminating spurious numerical oscillations and in providing more accurate solutions in the time domain. |
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