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中文摘要：
基于Boussinesq方程耦合泥沙运动和地形演变模型，建立海啸作用下泥沙运动数学模型。地形演变模型采用WENO差分格式，并将WENO差分格式与Lax—Wendroff格式和FTBS格式进行对比分析。运用Synolakis、Kobayashi和Young的实验数据分别对水动力模块和地形演变模块进行验证，数值模拟结果与实验数据吻合良好，模型能够很好地模拟海啸波的传播、破碎、上爬、回落过程以及岸滩的冲淤变化过程，该数学模型能够运用到海啸作用下的岸滩演变研究和预测中。
英文摘要：
A tsunami can mobilize a substantial amount of coastal sediments and change the coastal morphology con- siderably. A comprehensive numerical model is developed with the capability of modeling tsunami waves, including the effect of sediment transport and morphological changes. The numerical model includes a set of fully nonlinear and weekly dispersive Boussinesq equations and the sediment transport and morphological evolution modules. The weighted essentially non-oscillatory scheme （WENO） is used for the spatial discretization of morphological bed level equations. The Lax-Wendroff scheme and forward time backward space （FTBS） scheme are compared with WENO. The numeri- cal model is validated using the available laboratory experimental data such as Synolakis, Kobayashi and Young. The result shows that the numerical model is capable of resolving the solitary wave propagate, breaking, run-up, rundown and scouring processes on the beach. The numerical model could be useful for the study of sediment transport under tsunami waves.
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