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中文摘要：
基于改进型Boussinesq方程,建立适用于三角形网格的有限元模型。通过将边界点的笛卡尔坐标转化为法向、切向坐标,对与坐标轴斜交的反射边界进行处理,模型时间积分采用Adams-Bashforth-Moulton预报-校正法。一些经典算例的数值模拟结果表明,数值模型结果与其他数值或试验结果吻合较好,可以用于模拟不规则区域内波浪传播情况,而且通过三角形网格的应用,可有效处理不规则边界问题。
英文摘要：
This paper describes the FEM model with unstructured triangular elements based on the modified Boussiensq equations.At the points of the boundary that the orientation of the boundary segment does not coincide with the global Cartesian axes,we introduce a locally rotated coordinate system to rotate the Cartesian coordinate to the new（n,T） coordinate system,in which n is aligned with the outward normal and T is the tangent at the boundary node.The Adams-Bashforth-Moulton predictor-corrector scheme is used for time integration.Several numerical simulations for test cases are employed to validate the model.By comparing the results with either experimental data or analytical solutions,the model is capable of giving satisfactory predictions,and accuracy was improved by use of unstructured triangular elements.
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