华中科技大学学报（自然科学版）2024，Vol.52Issue(10)：103-108,6.DOI:10.13245/j.hust.240395
GMRES及变型方法在水动力分析中的应用
Application of GMRES and its variant methods in hydrodynamic analysis
摘要
Abstract
To improve the computational efficiency of hydrodynamic analysis in the time domain,the time-domain hydrodynamic numerical model was established based on the three-dimensional Rankine source method,and the applicability of generalized minimal residual(GMRES)method and its variant methods in solving the time-domain hydrodynamic numerical model was studied.By taking a three-dimensional cylinder as the subject of study,its radiation force under different heave forced oscillation frequencies was calculated.By comparing the calculation results,the applicability of the GMRES method in time-domain hydrodynamic calculations based on the Rankine source was studied.On this basis,the calculation accuracy and efficiency of the modified algorithm,which were restarted GMRES and simpler restarted GMRES,were discussed on this issue.Corresponding optimization methods based on unitization of the right-hand-side of the linear equation were proposed to solve the non-convergence problem in the time-domain calculation process.Research results show that the optimized simpler restarted GMRES algorithm converges better,and the computational efficiency is improved by nearly 3 times compared to GMRES.关键词
广义最小残量算法/重启广义最小残量算法/简单重启广义最小残量算法/Rankine源/时域边界元方法Key words
generalized minimal residual/restarted generalized minimal residual/restarted simpler generalized minimal residual/Rankine source/time-domain boundary element method分类
交通工程引用本文复制引用
康庄,常瑞,孟巍..GMRES及变型方法在水动力分析中的应用[J].华中科技大学学报（自然科学版）,2024,52(10):103-108,6.基金项目
中央高校基本科研业务费专项资金资助项目(3072021CFJ0102,3072022CF0102). （3072021CFJ0102,3072022CF0102）
