| 海上溢油粒子追踪预测模型中的两种数值方法比较 |
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| 引用本文： | 龙绍桥,娄安刚,谭海涛,徐艳东,杨媚媚.海上溢油粒子追踪预测模型中的两种数值方法比较[J].中国海洋大学学报(自然科学版),2006,36(Z1):157-162. |
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| 作者姓名： | 龙绍桥 娄安刚 谭海涛 徐艳东 杨媚媚 |
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| 作者单位： | 1. 中国海洋大学海洋环境与生态教育部重点实验室,山东,青岛,266003
2. 中海石油(中国)有限公司研究中心,北京,100027 |
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| 摘 要： | 在海上溢油粒子追踪预测模型中,关键的是对拉格朗日微分方程的求解。本文首先通过数值实验比较了欧拉法和龙格-库塔法求解拉格朗日溢油轨迹微分方程的优劣,然后将其应用到2005年4月3日发生在大连附近的“ARTEAGA”油轮溢油事故的油膜粒子追踪模型中。数值实验和应用结果表明,在近岸不均匀流场下,用龙格-库塔方法解拉格朗日油粒子微分方程比用欧拉法求解精度高,用龙格-库塔方法模拟“ARTEAGA”油轮轨迹及其扩散范围与实际观测更为接近,而用欧拉法模拟溢油扩散的面积偏大。
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| 关 键 词： | 拉格朗日模型 溢油轨迹 欧拉法 龙格-库塔方法 |
| 文章编号： | 1672-5174(2006)03Ⅱ-157-06 |
| 修稿时间： | 2006年1月11日 |
Comparision of Two Numerical Methods for Solving the Model for Oil Spill Particle Trajectory on the Sea |
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| LONG Shao-Qiao,LOU An-Gang,TAN Hai-Tao,XU Yan-Dong,YANG Mei-Mei.Comparision of Two Numerical Methods for Solving the Model for Oil Spill Particle Trajectory on the Sea[J].Periodical of Ocean University of China,2006,36(Z1):157-162. |
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| Authors: | LONG Shao-Qiao LOU An-Gang TAN Hai-Tao XU Yan-Dong YANG Mei-Mei |
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| Abstract: | The key to the prediction of oil spill trajectoriesis to solve the Lagrange equation.The purpose of this paper is compare the Euler method and the Runge-kutta method in obtaining the solution of the Lagrange equation for oil spill trajectories by numerical experiments,and to apply the Lagrange trajectories model to forecasting the spill caused by oil tanker ARTEAGA near Dalian.It is indicated that in the coastal uneven flow field,the Runge-kutta method is more precise than the Euler method.The trajectory and diffusion area simulated by the Runge-kutta method meet the requirements,but the Euler solution presents a much larger area than that resulting from the Runge-kutta method. |
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| Keywords: | Lagrange model particle trajectory Euler method Runge-kutta method |
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