迎浪时基于非线性运动方程的船舶RANS数值模拟

Numerical simulation of ship RANS based on nonlinear equation of motion

迎浪航行是船舶运动是非线性运动,采用一类具有齐次解的二阶偏微分方程描述迎浪时船舶的非线性运动,构建船舶迎浪航行控制的非线性运动方程,在临界稳定条件下分析船舶非线性微分方程的齐次解,在非线性波动运动模式下,建立船舶非线性运动方程的局部寻优模型,采用最小二乘拟合方法进行迎浪航行的控制参量寻优,实现非线性运动方程的船舶RANS数值仿真模拟,根据RANS数值模拟结果实现船舶非线性运动优化控制。数值仿真分析表明,迎浪时船舶非线性运动方程具有稳定收敛的齐次解,能实现对船舶的超稳定性控制。

Wave heading is a nonlinear motion of a ship. A class of second order partial differential equations with homogeneous solution is used to describe the nonlinear motion of the ship when facing the wave, and the nonlinear motion equation of the ship's navigation control is constructed. Under the condition of critical stability, the homogeneous solution of nonlinear differential equation of ship is analyzed, and the local optimization model of nonlinear equation of motion of ship is established under the mode of nonlinear wave motion. The least square fitting method is used to optimize the control parameters of the wave-facing navigation, and the ship RANS numerical simulation of the nonlinear motion equation is realized.According to the RANS numerical simulation results, the nonlinear ship motion optimization control is realized. The numerical simulation results show that the nonlinear ship motion equation has a stable convergence homogeneous solution. The super stability control of ship can be realized.