應用質點等位函數法模擬波浪碎波運動

Numerical Simulation of Wave Breakings Using Particle Level Set Method

林俊遠(Chun-Yuan Lin) ； 黃清哲(Ching-Jer Huang)

《海洋工程學刊》 7卷1期 (2007/06) Pp. 1-19

https://doi.org/10.6266/JCOE.2007.0701.01

摘要

本文發展二維數值黏性造波水槽，用以模擬孤立波通過半無限長潛堤時，波浪於堤頂碎波之流場變化。爲求解水槽中黏性流體的流動情形，本文以有限解析法離散時變的Navier-Stokes方程式，並以質點等位函數法模擬碎波時複雜自內液面的變化情形。此外，本數值水槽上游設置一平板式造波機產生入射波。在數值驗證方面，本文利用旋轉缺口圓盤問題(Zalesak's problem)檢驗質點等位函數法之準確性。爾後，再應用至模擬孤立波於半無限長潛堤上碎波之流場變化，並與Yasuda et al. (1997)實驗進行比對，說明本數直模式可適切地模擬孤立波生成，乃至於完整的碎波演變過程，包括捲入空氣與水體飛濺等。

關鍵字

碎波 ； 質點等位函數法 ； Navier-Stokes方程式 ； 孤立波

並列摘要

In this study, a 2-D numerical wave flume in viscous fluid was developed and applied to simulate the overturning of a solitary wave on a submerged step. The finite-analytic method was applied to discretize the unsteady Navier-Stokes equations, and the particle level set method was adopted for capturing the highly complex interface appearing in the evolution of wave breaking. A piston-type wavemaker was also set up in the computational domain to produce the desired incident waves. The accuracy of the particle level set method was confirmed by solving the Zalesak's problem. The numerical scheme was then applied to simulate the transformation of a solitary wave near a submerged step, and the numerical results were compared to laboratory experiment (Yasuda et al., 1997). The results reveal that present model can simulate wave breaking properly including the evolution of the solitary wave from the initial incident stage to the breaking, air-entrainment and splash-up stages.

並列關鍵字

wave breaking ； particle level set method ； Navier-Stokes equations ； solitary wave