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Improved Boussinesq-type equations for spatially and temporally varying bottom

机译:提高空间的Boussinesq-type方程和不同底暂时

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Boussinesq-type equations with improved linear dispersion characteristics are derived for spatially and temporally varying bottom. Starting from the first principles, spatial variations and temporal movements of seabed due to underwater earthquakes, landslides and alike are incorporated into the Boussinesq-type equations. The momentum equation is then manipulated by the partial replacement technique so that a generalized Boussinesq set of equations with improved dispersion characteristics is obtained. For an impulsive bed motion-simulated wave profiles are compared with experimental measurements. Waves generated by an ellipsoidal slump moving down on an inclined plane are also numerically simulated to disclose the effect of a newly derived term. Overall, the new set of equations is expected to provide more accurate representation of wave motions due to bottom movements by correctly modeling accelerative bed effects and propagation of relatively shorter waves.
机译:Boussinesq-type与改进的线性方程色散特性是派生的时空上不同的底部。从第一个原则,空间变化和由于水下时间运动的海底地震、山体滑坡和都纳入Boussinesq-type方程。然后操纵的动量方程所以部分替代技术广义布西涅斯克的一组方程改善色散特性。对于一个冲动床motion-simulated波资料与实验进行比较测量。衰退在斜面也向下移动数值模拟;披露的影响新派生的词。方程将提供更准确由于底波运动的代表动作的正确建模加速的床上效果和传播相对较短波。

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