应用势流理论中的Rankine源面元法与时域步进法,求解船舶在规则波中的时域运动和水底压力变化.将速度势分解成基本势、局部势和记忆势,以叠模解作为基本势对自由表面条件和物面条件进行线性化.引入数值海岸技术满足辐射条件,通过计算两艘船模强迫运动水动力系数、约束船模入射波浪力和规则波中船模响应幅值算子,验证了所编制程序的正确性与有效性.利用所建立的理论模型和数值计算方法,得到了规则波中航行船模的自由运动与三维表面波形及其水底压力计算结果,并与实验结果符合良好.
The ship motion in regular waves and pressure variation on water bottom were solved through potential flow theory and time domain step method. The velocity potential was decomposed to three parts: the basis flow, local and memory part. The free surface and body boundary conditions were linearized by double-body basis flow, and the radiation condition was satisfied by numerical beach. The hydrodynamic coefficients of forced motion, incident wave force of fixed ship and response amplitude operators in regular waves of two ships were calculated, and the accuracy and reliability of computation program were validated. By the established theoretical model and numerical method, the free motion of the ships in regular waves, 3D surface wave patterns and pressure variation on water bottom were obtained. A good agreement exists between the calculated and the experimental results.