计算物理 ›› 1989, Vol. 6 ›› Issue (4): 449-456.
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曹念铮, 陈永泽, 陈耀松
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Cao Nianzheng, Chen Yongze, Chen Yaosong
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摘要： 本文利用文献[1]的杂交之法处理弹性管道三维粘性流体的波动问题,把流动区域分成远场与近场,远场的级数解形式由文献[2]给出,近场仍用有限元目的,但如今必须考虑三维情况。用数值目的求出与远场特征函数相应的特征方程的根,计算结果表明,除基本特征解为二维以外,其余一律衰减甚快。因此,多数情况下可以不计。
关键词: Stokes流, 波动解, 弹性管, 特征函数, 特征值
Abstract: A hybrid method [1] is used to solve the wave of 3-D low Reynolds flow in an elastc pipe. The flow region is divided into far field and near fielf. In far field the solutions can be expressed by series expansions[2], while in the near field FEM could be used. 3-D eigen-functions must be taken into account. The corresponding eigen values are calculated numerically. It is shown that except the fundamental eigen functions which are just the 2-D ones, the others decrease very quickly. So 2-D eigen functions are enough for many cases.
Key words: Stokes flow, wave solution, elastic pipe, eigen functions, eigen values
曹念铮, 陈永泽, 陈耀松. 弹性管道三维小雷诺数流中的波动计算[J]. 计算物理, 1989, 6(4): 449-456.
Cao Nianzheng, Chen Yongze, Chen Yaosong. COMPUTATION FOR WAVE OF 3-D LOW REYNOLDS FLOW IN AN ELASTIC PIPE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 6(4): 449-456.
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