典型标准水面船型阻力和黏性流场的计算

本文通过采用PISO(Pressure Implicit with Splitting of Operators)算法求解不可压缩RANS方程,对两类典型标准水面船型阻力和黏性流场问题进行数值计算验证.其中自由面的模拟采用单相Level set方法,湍流模式选取SST k-ω模型.首先以标准数学船型Wigley船为例,进行网格收敛性验证,讨论分析时间步长的选取和壁面网格参数的确定对计算结果的影响,为复杂问题的求解提供经验参考;然后在合适的网格及时间步长下计算不同Froude数(Fr)时Wigley船体受到的总阻力系数、摩擦阻力系数、船体表面波高图等,并分别与模型试验结果和经验公式估算结果对比,结果吻合很好,从而验证了该算法的可靠性.此外,还模拟计算了第二类标准船型DTMB5415的阻力系数和黏性流场,总阻力计算结果与实验结果吻合很好,船体波高图与实验结果相比稍有误差.数值计算结果和分析充分证明本文算法和计算程序的可靠性.

A numerical study of resistance and viscous flow around typical benchmark surface ship hull

The viscous flow around two kinds of typical benchmark surface ship model moving ahead is solved by using the RANS equations based on the PISO （Pressure Implicit with Splitting of Operators） scheme and the SST k-ω turbulence model. The free surface is simulated with single phase Level set method. Firstly,a mathematical benchmark hull model,Wigley hull,is taken into account,grid convergence and the influences of time step and near-wall grid parameters on the calculation results are numerically investigated. Then,the flow cases with a series of Froude numbers between 0.25 and 0.408 are performed with appropriate grid and reasonable time step. The values of drag coefficient and the wave profile obtained by the presented method are in good agreement with the experimental data,which verifies the reliability of the presented algorithm. Then,another benchmark modern complex ship hull （DTMB5415） is considered,the numerical results of total drag coefficient and the wave profile coincide with the experimental results. The numerical results and analysis in this paper prove the reliability of the presented scheme and the program codes,providing some references and suggestions for the future use of this method on simulation of ship resistance with free surface and other properties research.