CAJ | 학술논문

参考Lo对MNLS方程中非线性项的处理方法,但不转换到频域求解,同时采用Li修正的非线性弥散关系,对非线性抛物型缓坡方程在复数域进行数值模拟,并分别在Berkhoff椭圆地形及淹没圆形浅滩地形验证了该模型,得到了较好的结果.此模型可以有效地模拟非线性波浪问题.此非线性项的处理方法使得数值计算过程中不需迭代求解,同时减少了边界周期性的限制,易于操作编程,提高了计算效率.
삼고Lo대MNLS방정중비선성항적처리방법,단불전환도빈역구해,동시채용Li수정적비선성미산관계,대비선성포물형완파방정재복수역진행수치모의,병분별재Berkhoff타원지형급엄몰원형천탄지형험증료해모형,득도료교호적결과.차모형가이유효지모의비선성파랑문제.차비선성항적처리방법사득수치계산과정중불수질대구해,동시감소료변계주기성적한제,역우조작편정,제고료계산효솔.
The nonlinear parabolic mild-slope equation with the dispersive relation, which Li had modified, was numerically simulated over the complex field. The numerical method doesn't need transform the function to spectral-domain. This is different from that Lo used to simulate the MNLS equation with the nonlinear items. The authors simulated the surface water wave under both the Berkhoff elliptic topography and the circular shoal topography with the model, and the solution coincide quite well with that have been. The model is effective to simulate nonlinear water wave. This method to solve the nonlinear items is very useful and easy to implement. It can solve the equation without iteration and the limit of the periodic boundary.