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显式积分格式对局部透射边界高频失稳的抑制和消除作用

, PP. 50-54

Keywords: 显式有限元-有限差分方法,局部透射边界,高频失稳

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Abstract:

针对显式有限元-有限差分法结合局部透射边界进行波动数值模拟的情况,推导并计算了循环系数,给出了计算过程的稳定条件,并通过数值试验对该判定准则进行验证.在给出的循环系数的基础上,定量地分析了积分格式的能耗特性对由边界条件引入的高频失稳的抑制和消除作用.探讨了如何更有效地利用能耗特性保证计算稳定性,即实际计算模型中时间离散步距以及空间模型大小等参数如何取值既能确保计算稳定又能最大程度减小计算量.

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