水波传播无网格数值模拟.pdfVIP

4 1 9 上 海 交 通 大 学 学 报 V ol. 4 1 N o. 9 2007 9 J OU RN AL O F SH AN G HA I J IA OT O N G U N IV ERSIT Y Sep. 2007 : 100624 67( 2007 肖龙飞, 杨建民, 于 洋 ( , 200030 : 在水波传播的数值模拟中采用了一种 于配点和径向 函数的无网格方法. 采用 L aplace 方程的 本解作为径向 函数, 将源点布置在模拟波浪场之外, 沿边界布置配点而不是划分网格, 从而自动满足控制方程, 且不存在奇点, 不需要求解积分方程. 数值造波采用给定入射波面和速度 势的方法, 数值消波综合采用阻尼层消波和Som merfeld 辐射条件, 非线性自由面的演化追踪采用 二阶T ay lor 级数展开式. 对线性规则波和非线性三阶St okes 波的模拟显示, 数值结果与理论解吻 合良好. 表明无网格方法不但形式简单计算速度快, 而且稳定性和准确性令人满意, 有望成为水波 模拟问题的 一种有效的数值方法. : 水波; 无网格方法; 数值模拟; 配点 : O 353 . 2 : A The Numerical Simulation on Water Wave Propagat ion by Meshless Met hod X I A O L ongf ei, YA N G J ianmin , Y U Yang ( Stat e Key Lab . o f Ocean Eng. , Shang hai Jiaot ong U niv. , Shang hai 2000 30, China Abstract: T he meshless met ho d was intr oduced t o simulat e t he pro pagat ion of 2D w at er w av es . U sing the fundament al solut ion of t he Laplace equat ion as t he radial basis f unct io ns and lo cat ing t he source points outside t he comput at io nal do main, t he problem of w at er w ave propagat io n is solved by collocatio n of only a few boundary po int s. In or der t o improv e t he st abilit y of num erical simulat io n, the incident w ave elev at ion and velocity pot ent ial are applied t o the w ave generat ion . A spong e layer f or w ave dam ping abso rber com bined w it h t he Somm er feld radiat ion is used t o t he open boundar y. T he no nlinear free surf ace boundary condit ions are used f or det er mining t he t ime st epping int eg rat io n of w av e elevatio n. T he