| 吴志刚,郭攀,武文华.时域间断Galerkin有限元法在激光热加工过程中应用[J].,2012,(1):1-5 |
| 时域间断Galerkin有限元法在激光热加工过程中应用 |
| Applications of time-discontinuous Galerkin FEM to laser heating process |
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| DOI：10.7511/dllgxb201201001 |
| 中文关键词: 非傅里叶热传导 时域间断Galerkin有限元法 激光热源 数值仿真 薄膜 |
| 英文关键词: non-Fourier heat conduction time-discontinuous Galerkin finite element method laser heat source numerical simulation thin film |
| 基金项目:中央高校基本科研业务费专项资金资助项目(DUT10LK28). |
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| 中文摘要: |
| 针对半无限体和薄膜结构受多种激光热源作用下的非傅里叶热传导过程,采用时域间断Galerkin有限元法进行数值仿真．其主要特点是在时域内对温度及其时间导数分别进行三次Hermite插值和线性插值．对于半无限激光热源热传导问题,其计算结果与解析解吻合良好．算例表明,时域间断Galerkin有限元法在高频激光脉冲问题中,没有虚假的数值振荡,具有广泛的工程应用性． |
| 英文摘要: |
| The numerical simulations of non-Fourier heat conduction in the semi-infinite body and thin film subjected to various laser heat sources were conducted by using time-discontinuous Galerkin finite element method (FEM). The main feature of this method is that cubic Hermite interpolation and linear interpolation for both temperature and its time-derivative are adopted in the time domain, respectively. The simulated results of heat conduction in semi-infinite body problem are well consistent with analytical results. The simulated results indicate that time-discontinuous Galerkin FEM demonstrates the good performance in high frequency laser action problem, in eliminating spurious numerical oscillations and in providing more applications in industrial engineering. |
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