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中文摘要：
此文对于二维波浪的传播建立了数值模拟与物理模拟的耦合模型。模型中，数值模拟采用基于改进Boussinesq方程的三角形网格有限元模型，物理模拟采用推板式造波机。模型的求解采用空间五点的拉格朗日插值和时间的四阶Runge—Kutta格式。通过波浪模拟实验研究了耦合模型在不同波浪要素下的适应性。进～步针对于规则波和不规则波分别建立了实时修正由于造波机造波性能所引起的模拟误差的方法。波浪模拟实验结果表明，耦合边界附近数模结果与物模结果吻合很好，实时修正方法能很好修正由于造波机造波性能所引起的模拟误差，耦合模型和实时修正方法能有效建立起数模与物模的确定性联合。
英文摘要：
The purpose of this paper is to present a coupling of numerical and physical model for the 2D simulation of wave propagation. In the combined model, a triangular finite element model based on modified Boussinesq equations is applied for numerical wave computation, and a 2D piston-type wavemaker and the associated control system is chosen for physical wave generation. For solving the coupled equation, five points Lagrange interpolation method and fourth-order Runge-Kutta scheme are used to smooth the nonlinear distribution of velocity around the moving paddle and solve the time discretization, respectively. Through various wave simulations, the applicable range of the coupling method is verified. Furthermore, a method of real-time correction of the simulation error due to the capability of wave generation of wavemaker for the regular and random wave is proposed. The experimental results show that the physical results agree well with the numerical results. Coupling and real-time correction can effectively establish a deterministic combination from numerical to physical model.
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