船舶兴波问题面元法的误差分析

Error Analysis of the Panel Method for the Ship Wavemaking Problem

本文利用Fourier分析导出了船舶兴波问题面元法计算中的数值耗散及数值色散误差表达式.该公式不仅可用于从量级上分析船波问题计算的有关误差及其耦合影响,原则上亦可用于其它具有自由表面的稳态流动问题面元法计算的误差分析.

An expression for the numerical damping and dispersion of panel method calculating ship wave-making problem is derived from Fourier analysis, It can be used to analyse not only the order of magnitude of er-rors concerned and their coupling effects in calculating ship wavemaking problem but also the errors in calculating other steady free-surface flows by panel method in principle.