面元法中偶极子影响系数计算分析*

摘要

Different methods used in the calculation of dipole influence coefficient were analyzed and the Gauss‐Bonnet theory was introduced in detail .The approximate treatment applied to these methods was discussed and the error result from the treatment was analyzed .Then a modified calculation about dipole influence coefficient based on Gauss‐Bonnet theory was proposed .The modified method was used in surface panel method ,and the propellers DTMB × × × and DTMB × × × were analyzed by the surface panel method .The result was compared to the calculation without modification .In the end ,the error induced by the calculation of dipole influence coefficient was discussed .%分析了不同方法应用于偶极子影响系数的计算，并详细介绍了Gauss‐Bonnet定理在偶极子影响系数计算中的应用。探讨了这些计算方法的近似处理及由此造成的误差，进而以Gauss‐Bonnet定理为基础提出了计算偶极子影响系数的修改办法。将此种修改办法应用于面元法的计算中，以×××桨及×××桨为计算对象，分析修改前后的偶极子计算方法对计算结果精度的影响。从理论上探讨了面元法中，有关偶极子影响系数计算环节的误差及减小此部分误差的办法。