| 一种求解动边界问题的有限单元-有限差分法 |
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| 引用本文： | 刘中良. 一种求解动边界问题的有限单元-有限差分法[J]. 中国石油大学学报(自然科学版), 1988, 0(2) |
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| 作者姓名： | 刘中良 |
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| 作者单位： | 华东石油学院热工教研室 |
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| 摘 要： | 本文从二维动边界着手,将在动边界上应满足的能量平衡条件——非线性边界条件从数学模型中分离出来,然后用有限元法求解区域上的温度分布,用有限差分法求解大型的非线性方程组,减少了计算工作量,提出了求解动边界问题的有限元-有限差分法。用本文提出的方法分别给出了一维和二维动边界问题的数值结果,并与分析解或其它研究者的结果进行比较,验证了本文方法的可靠性和有效性。
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| 关 键 词： | 相变 计算 有限元法 有限差分法 传热 边缘 |
A FINITE ELEMENT-FINITE DIFFERENCE SCHEME FOR SOLVING MOVING BOUNDARY PROBLEMS |
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| Liu Zhongliang. A FINITE ELEMENT-FINITE DIFFERENCE SCHEME FOR SOLVING MOVING BOUNDARY PROBLEMS[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1988, 0(2) |
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| Authors: | Liu Zhongliang |
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| Affiliation: | Liu Zhongliang |
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| Abstract: | In this paper, a finite element-finite difference scheme was proposed for solving moving boundary problems. In the scheme, the nonlinear moving boundary condition was removed from the mathematical model of moving boundary problems. And the position of the moving front can be computed with finite difference method and the temperature profile with finite element method. In this way, solving very large-scale nonlinear equations solved by other methods can be almost avoided with this method. Both one dimension and two dimension moving boundary problems have been solved with the proposed scheme. The results are in good agreement with analytical results and form -er results. |
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| Keywords: | Phase transformation Calculation Finite element method Finite difference method Heat transfer Boundary |
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