中文摘要：

通过底面运动学边界条件引入底面运动影响,采用高阶Boussinesq方程计算了光滑海底变形引起的表面波动形态。对于线性问题,与线性势流波浪理论进行了比较,二者结果符合良好。运用高阶Boussinesq波浪模型,针对冲绳海沟的实际地形,模拟海沟内不同震级的海底地震激发的海啸,分析了不同强度地震引起的表面波扰动形态及其非线性和色散效应。

英文摘要：

Water waves generated by submarine smoothly raised slides are studied by the Boussinesq equations based numerical simulation. Effects of the motions of seabed have been introduced into the kinematic boundary condition of the bottom. In order to validate the numerical model, the linearized Boussinesq equations are used to simulate the response of the free surface due to the submarine earthquake and the results are compared to the analytic solution of the linear potential theory. It is confirmed that the results of these two methods fit well. Based on the Boussinesq wave model and the geographical data of the Okinawa Trench, the tsunami motivated by different magnitudes of submarine earthquakes are computed. The non- linear and dispersive characteristics of waves due to different intensity of earthquakes are discussed.