SPH方法的优化及在水波与半圆型防波堤作用中的应用  

The optimization of SPH and its application in the interaction between wave and semi-circular breakwater

作　　者：刘长根[1] 崔可夫[1] 张金豹[1] 孙云舫[1] 

机构地区：[1]天津大学力学系,天津300072

出　　处：《哈尔滨工程大学学报》2013年第1期77-82,共6页Journal of Harbin Engineering University

基　　金：国家科技重大专项基金资助项目(2008ZX07209-001)

摘　　要：用光滑粒子流体动力学(SPH)方法模拟具有运动自由面的水动力学问题时,需要光滑函数满足非负性和高精度的表面粒子追踪方法,为此提出一种新的光滑函数和捕捉自由表面粒子的方法.在此基础上,采用SPH形式的Navier-Stokes方程建立了水波与结构物作用的数学模型,并利用实验数据进行了验证.用验证后的模型模拟了二维周期波与半圆型防波堤的相互作用,给出了半圆型防波堤透射系数与反射系数在入射波周期、入射波波高和淹没深度改变时的变化规律:堤顶淹没深度对半圆型防波堤的透射和反射系数影响较大,而入射波高和入射波周期对透射和反射系数影响较小,同样条件下,堤顶淹没越深,透射系数越大,反射系数越小.同时给出了半圆型防波堤附近的流场分布,在防波堤的堤前和堤后都会有较复杂的涡旋产生.The smoothing function satisfies non-negativity and high-precision free surface tracking method are neeverified through the experimental data findings. The proved model was used to simulate the interaction between the 2D periodic wave and semi-circular breakwater, for the purpose of analyzing the variation of the transmission coefficient and reflection coefficient of semi-circular breakwater in the changes of incident wave period, incident wave height, and submerged depth. The results indicate that the transmission coefficient and reflection coefficient were affected largely by the submerged depth of the top of the breakwater, and less influenced by the incident wave period and height. The research study results also revealed that, under the same condition, the deeper the submerged depth of the top of the breakwater, the larger the transmission coefficient, and the smaller the reflection coefficient. The flow distribution near the semi-circular breakwater was also examined, and the complex eddies were discovered to be generated before and after the breakwater.

关 键 词：光滑函数 自由表面 SPH方法 半圆型防波堤 透射和反射 

分 类 号：O352[理学—流体力学]