中文摘要：

全非线性深水波的数值模拟对于深海工程有着重要意义．应用二维深水G—N理论的控制方程，得到深水Level ⅢG—N理论和Level ⅣG—N理论的线性解析解．采用深水Level Ⅲ和Level ⅣG—N理论对单色波进行数值模拟．提出适用于G—N理论的非线性造波边界条件，使用线性造波边界条件的结果与使用非线性边界条件的结果基本一致，因此可以使用线性造波边界叠加的方法来模拟不规则波．采用深水Level ⅢG—N理论模拟全非线性双色波和不规则波，并与线性解析解进行比较，结果表明使用深水Level ⅢG—N理论并配合线性造波边界条件来模拟全非线性深水不规则波是可行的．

英文摘要：

Mathematical simulations of fully nonlinear deep water waves are important in deep water offshore engineering. The equations governing 2-dimensional deep water Green-Naghdi （G-N） theory were analyzed and a linear analytical solution for Level Ⅲ and Level Ⅳ G-N theory were deriVed. Nonlinear wave maker conditions for G-N theory were presented for the first time. The results of using a linear wave maker are almost the same as with a nonlinear wave maker. Fully nonlinear bichromatic waves and irregular waves were simulated based on Level ⅢG-N theory, and the results were compared with the linear analytical solution. The results show that it is reasonable to simulate fully nonlinear deep water irregular waves by using Level Ⅲ G-N theory and a linear wave generator.