CAJ | 학술논문

　　通过引入考虑可渗海床影响的阻力方程，将一组高阶Boussinesq水波方程拓展到可适用渗透海床的情况。在不同厚度介质情况下对新方程进行了理论分析，并将结果与解析解比较，讨论了方程的相速度及衰减率的精确度。在非交错网格下离散该方程，建立了基于高精度有限差分方法和预报-校正时间积分格式的一维数值模型。其中，在预报中采用三阶Adams-Bashforth格式，校正中则采用四阶Adams-Moulton格式。利用所建立数值模型，对渗透潜堤地形上的波浪传播变形进行了模拟，将数值计算结果与相关试验结果进行了比较分析，证明试验结果与数值结果吻合较好，说明这种改进方法是可行、有效的。
　　통과인입고필가삼해상영향적조력방정，장일조고계Boussinesq수파방정탁전도가괄용삼투해상적정황。재불동후도개질정황하대신방정진행료이론분석，병장결과여해석해비교，토론료방정적상속도급쇠감솔적정학도。재비교착망격하리산해방정，건립료기우고정도유한차분방법화예보-교정시간적분격식적일유수치모형。기중，재예보중채용삼계Adams-Bashforth격식，교정중칙채용사계Adams-Moulton격식。이용소건립수치모형，대삼투잠제지형상적파랑전파변형진행료모의，장수치계산결과여상관시험결과진행료비교분석，증명시험결과여수치결과문합교호，설명저충개진방법시가행、유효적。
A resistance equation is introduced for considering the porous effect ,and a set of high-order Boussinesq-type equations for water waves is extended to be applicable for porous seabed .The new equations are analyzed theoretically in constant water depth with different porous layer depths , and the phase velocity and damping rate are discussed compared with the analytical solutions .In non-staggered grids ,high-precision finite difference and a predicted-correct time-integration scheme are applied to solving the present one-dimensional model . A third-order Adams-Bashforth scheme is adopted in predicting stage and a fourth-order Adams-Moulton scheme is adopted in correcting stage . Numerical computation is carried out upon wave propagating over a submerged porous topography , and the computed results are compared with the experimental ones ,and the agreement is relatively good .It is shown that the present method to improve original Boussinesq model for porous seabed is feasible .