海啸条件下潜艇运动的数学建模与仿真

摘要

通过分析和比较地震海啸的特点,首先改进了模拟地震海啸波质点运动的非线性浅水方程;其次选择地震海啸初始位移场的计算方程,并进行了验证;最后结合潜艇运动的各种状态模型,建立了地震海啸中潜艇运动的数学模型,通过模拟四种典型潜艇在地震海啸中的运动状态,得到潜艇遭遇地震海啸的一般规律,为指挥机关制定海啸应对预案提供理论支持.%Through analysising and comparing the characteristic of earthquake tsunami, the non-linear shallow water equation of earthquake tsunami motion is improved firstly. Secondly,the calculate equation of earthquake tsunami initial po-sition is choosed and proved. Finally,the model of movement in the earthquake tsunami based on various kinds state-model is established, and the genealregulation when submarine encounteringearthquake tsunami through simulating four typical movement states of submarine is got. All these researches canprovidetheoretical support for commanding-office making replyt-sunami plan.