基于伴随方法的螺旋桨参数影响分析

为探究螺旋桨各参数对螺旋桨性能影响关系,从面元法基本方程和面元法边界条件出发,建立螺旋桨参数影响分析的伴随方法.通过分析等压库塔条件,建立了伴随方程,基于伴随方程探究了螺旋桨性能与参数之间的敏感导数求解公式.选择DTMB4381桨作为研究对象,开展螺旋桨推力系数与螺距分布和拱弧分布之间的敏感导数求解,得到不同参数对螺旋桨性能的影响规律.数值结果表明,伴随方法计算得到的敏感导数与传统方法计算结果具有很好的一致性,但伴随方法的计算时间更短,且随着变量个数的增多,伴随方法计算效率的优势越大.

Analysis of parameter influence on propeller performance based on adjoint method

An adjoint method for the parameter analysis of ship propeller is presented based on the discussion of surface panel method, and the adjoint equation is established based on the analysis of Kutta condition. Then the equation for the sensitive derivative calculation is discussed withadjoint equation. Thesensitive derivatives of thrust coefficient and pitch, camber are analyzed with DTMB4381 propeller. Numerical results show that the computation accuracy of adjoint method is almost the same to traditional method in the calculation of sensitive derivatives. But the adjoint method has high computation efficiency, and this advantages is greater with the increase of parameters number.