Numerical simulation of standing wave with 3D predictor-corrector finite difference method for potential flow equations

作     者：罗志强 陈志敏 

作者机构：Department of System Science and Applied Mathematics School of Science Kunming University of Science and Technology School of Engineering Sciences University of Southampton 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2013年第34卷第8期

页      面：931-944页

核心收录：

学科分类：080704[工学-流体机械及工程] 07[理学] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 070102[理学-计算数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Yunnan Provincial Applied Basic Research Program of China(No. KKSY201207019) 

主　　题：three-dimensional (3D) nonlinear potential flow equation predictor-corrector finite difference method staggered grid nested iterative method 3D sloshing 

摘      要：A three-dimensional （3D） predictor-corrector finite difference method for standing wave is developed. It is applied to solve the 3D nonlinear potential flow equa- tions with a free surface. The 3D irregular tank is mapped onto a fixed cubic tank through the proper coordinate transform schemes. The cubic tank is distributed by the staggered meshgrid, and the staggered meshgrid is used to denote the variables of the flow field. The predictor-corrector finite difference method is given to develop the difference equa- tions of the dynamic boundary equation and kinematic boundary equation. Experimental results show that, using the finite difference method of the predictor-corrector scheme, the numerical solutions agree well with the published results. The wave profiles of the standing wave with different amplitudes and wave lengths are studied. The numerical solutions are also analyzed and presented graphically.