| A second order volume of fluid （VOF） scheme for numerical simulation of 2-D breaking waves |
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| 引用本文： | ZONG Zhi,DONG Guo-hai.A second order volume of fluid （VOF） scheme for numerical simulation of 2-D breaking waves[J].船舶与海洋工程学报,2007,6(2):1-5. |
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| 作者姓名： | ZONG Zhi DONG Guo-hai |
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| 作者单位： | ZONG Zhi1 and DONG Guo-hai2 1. School of Naval Architecture，Dalian University of Technology，Dalian 116024，China 2. State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116024，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 50679010 and 50579004. |
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| 摘 要： | Among all environmental forces acting on ocean structures and marine vessels, those resulting from wave impacts are likely to yield the highest loads. Being highly nonlinear, transient and complex, a theoretical analysis of their impact would be impossible without numerical simulations. In this paper, a pressure-split two-stage numerical algorithm is proposed based on Volume Of Fluid (VOF) methodology. The algorithm is characterized by introduction of two pressures at each half and full cycle time step, and thus it is a second-order accurate algorithm in time. A simplified second-order Godunov-type solver is used for the continuity equations. The method is applied to simulation of breaking waves in a 2-D water tank, and a qualitative comparison with experimental photo observations is made. Quite consistent results are observed between simulations and experiments. Commercially available software and Boundary Integral Method (BIM) have also been used to simulate the same problem. The results from present code and BIM are in good agreement with respect to breaking location and timing, while the results obtained from the commercial software which is only first-order accurate in time has clearly showed a temporal and spatial lag, verifying the need to use a higher order numerical scheme.
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| 关 键 词： | 破碎波 二阶VOF规划 数值模拟 船舶结构 |
| 文章编号： | 1671-9433（2007）02-0001-05 |
| 收稿时间： | 6 April 2007 |
| 修稿时间： | 2007-04-06 |
A second order volume of fluid (VOF) scheme for numerical simulation of 2-D breaking waves |
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| Zong?Zhi,Dong?Guo-hai.A second order volume of fluid (VOF) scheme for numerical simulation of 2-D breaking waves[J].Journal of Marine Science and Application,2007,6(2):1-5. |
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| Authors: | Zong Zhi Dong Guo-hai |
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| Institution: | (1) School of Naval Architecture, Dalian University of Technology, Dalian, 116024, China;(2) State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China |
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| Abstract: | Among all environmental forces acting on ocean structures and marine vessels, those resulting from wave impacts are likely to yield the highest loads. Being highly nonlinear, transient and complex, a theoretical analysis of their impact would be impossible without numerical simulations. In this paper, a pressure-split two-stage numerical algorithm is proposed based on Volume Of Fluid (VOF) methodology. The algorithm is characterized by introduction of two pressures at each half and full cycle time step, and thus it is a second-order accurate algorithm in time. A simplified second-order Godunov-type solver is used for the continuity equations. The method is applied to simulation of breaking waves in a 2-D water tank, and a qualitative comparison with experimental photo observations is made. Quite consistent results are observed between simulations and experiments. Commercially available software and Boundary Integral Method (BIM) have also been used to simulate the same problem. The results from present code and BIM are in good agreement with respect to breaking location and timing, while the results obtained from the commercial software which is only first-order accurate in time has clearly showed a temporal and spatial lag, verifying the need to use a higher order numerical scheme. |
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| Keywords: | VOF breaking wave second-order algorithm numerical simulation |
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