研究三维海洋环境下声传播的快速数值预报方法。在广义相积分(WKBZ)理论和波束位移射线简正波(BDRM)理论的基础上,将二维耦合简正波-抛物方程理论推广至三维。三维耦合简正波-抛物方程(CMPE3D))理论的级数解由垂直方向的本地简正波和水平与方位角方向的简正波幅度系数组成。为了实现该理论的快速算法,在垂直方向上采用WKBZ理论和BDRM理论进行简正波分析,在水平与方位角方向采用与抛物方程模型FOR3D[Lee D.et al.,"Numerical Ocean AcousticPropagation in Three Dimensions",World Scientific,Singapore,1995]类似的方法来求解简正波幅度系数方程。数值计算结果表明,在精度相当的情况下,计算速度比抛物方程算法提高了约100倍,具有计算精度高、速度快的优点。
A fast algorithm of sound propagation in three dimensional underwater environments is presented. On the basis of the generalized phase integral (WKBZ) theory and the beam displacement ray mode (BDRM) theory, the coupled mode parabolic equation (CMPE) theory of sound propagation in range dependent underwater environment is extended for three dimensional (3D) problems. The CMPE3D solution is expressed in terms of the normal modes in vertical direction and the coupled mode amplitude coefficients in horizontal directions. By using the WKBZ theory and the BDRM theory, the local normal mode analysis can be processed efficiently. A PE-based algorithm, which was implemented in model FOR3D by Lee D et al ["Numerical Ocean Acoustic Propagation in Three Dimensions", World Scientific, Singapore, 1995] is also adopted to solve the coupled mode amplitude coefficients. Numerical simulations indicate that the efficiency has been greatly improved by using CMPE3D instead of the PE approximations.
