非线性波浪的数值模拟

为快速有效地模拟三维波浪问题,采用高阶谱方法建立了完全非线性波浪的数值计算模型.高阶谱方法是将速度势函数展开成Fourier级数的形式,通过快速Fourier变换求其空间导数,具有很高的计算效率和精度.把数值结果与五阶Stokes波理论解和聚焦波实验结果相比较,并计算了初始面升高引起箱体内液体运动问题,验证了所建立的数值计算模型的有效性.

Numerical simulation of nonlinear waves

To simulate 3-D wave rapidly and effectively a numerical simulation model of fully nonlinear waves was established using the high order spectral method. In this method the velocity potential was expanded into a set of Fourier series, and the fast Fourier transform (FFT) algorithm was used to solve its spatial derivatives. It has high computational efficiency and precision. A numerical model was developed based on the high order spectral method to simulate nonlinear wave-wave interactions. Numerical results are compared with theoretical results and experimental results, and the sloshing wave in 3D tank is computed. The results show that the method is available and efficient for the simulation of high order nonlinear waves and focusing extreme waves.