Application of GMRES and its variant methods in hydrodynamic analysis

被引：0
作者：
Kang, Zhuang [1 ]
Chang, Rui [1 ]
Meng, Wei [1 ]
机构：
[1] College of Shipbuilding Engineering, Harbin Engineering University, Harbin
来源：
Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition) | 2024年 / 52卷 / 10期
关键词：
generalized minimal residual; Rankine source; restarted generalized minimal residual; restarted simpler generalized minimal residual; time-domain boundary element method;
D O I：
10.13245/j.hust.240395
中图分类号：
学科分类号：
摘要：
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． © 2024 Huazhong University of Science and Technology. All rights reserved.
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页码：103 / 108
页数：5
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