系泊系统耦合动力分析不同解法的比较研究

Computational efficiency of two numerical methods for the dynamic analysis of mooring systems

Newmark-β迭代法和Adams-Moulton法是系泊系统耦合动力分析中广泛使用的两种求解方法.文中运用这两种方法对系泊线进行动力分析,在验证了算法可靠性基础上,分析了两种方法在计算稳定性和效率方面的差异.结果发现:对系泊系统这两种算法拥有相似的计算精度,其中Newmark-β迭代法能适应较大的时间步长,稳定性更好;而Adams-Moulton法的计算效率随时间步长的增大提高很快,但增大步长Newmark-β迭代法的计算效率影响不大.

Newmark-β method and Adams-Moulton method are widely used in the dynamic analysis of mooring systems. In this paper,these two methods are studied. After verifying the reliability of these two numerical algorithms,the differences of computational accuracy and efficiency is examined. Via comparison,it is found that these two algorithms have similar precision. The algorithm of Newmark-β method is more stable and can adapt to larger time step. The computational efficiency of Adams-Moulton method is more sensitive to changes of the time step,while larger time can hardly improve the efficiency of Newmark-β method.