用Level Set算法模拟孤立波与前台阶的相互作用

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金资助课题(19772031)

Interaction of a Solitary Wave and a Front Step Simulated by Level Set Method

摘要: 进一步研究了Level Set方法的数学基础,研究了求解有自由水面水动力学问题的具体方法。并在此基础上,对孤立波与前台阶相互作用这一问题进行了计算及研究,取得了与实验结果相符合的计算结果。
- Level Set方法 /
- 距离函数 /
- 孤立波 /
- 前台阶
Abstract: As a new method,the Level Set method had been developed to compute the interface of two-phase flow.The basic mathematical theory and the detailed method to solve the free surface hydrodynamic problem had been investigated.Then,by using the Level Set method,the transformation of a solitary wave over a front step was simulated.The results are in good agreement with laboratory experiments.
- Level Set method /
- distance function /
- solitary wave /
- front step

[1]	Osher S, Sethain J A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobl formulations[J]. J Comp Phys,1988,79(1):12～49.
[2]	Sussman M, Smereka D, Osher S. A level set approach for computing solutions to incompressible two-phase flow[J]. J Comp Phys,1994,114(1):146～159.
[3]	Maxworthy T. Experiments on collisions between solitary waves[J]. J Fluid Mech,1976,76:177～185.
[4]	Seabra-Santos F J, Penouard D P, Temperville A M. Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle[J]. J Fluid Mech,1987,176:117～134.
[5]	祝家麟. 用边界积分方程法解平面双调和方程的Dirichlet问题[J]. 计算数学,1984,6(3):278～288.
[6]	Bell J B, Colella P, Glaz H M. A second-order projection method for the incompressible Navier-stokes equations[J]. J Comp Phys,1989,85(2):257～283.
[7]	邱大洪. 波浪理论及其在工程上的应用[M]. 北京:高等教育出版社,1985.