首页> 外文OA文献 >Nonlinear Advection-Diffusion-Reaction Phenomena Involved in the Evolution and Pumping of Oil in Open Sea: Modeling, Numerical Simulation and Validation Considering the Prestige and Oleg Naydenov Oil Spill Cases.
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Nonlinear Advection-Diffusion-Reaction Phenomena Involved in the Evolution and Pumping of Oil in Open Sea: Modeling, Numerical Simulation and Validation Considering the Prestige and Oleg Naydenov Oil Spill Cases.

机译:非线性对流扩散反应现象涉及公海石油的开采和抽运:考虑声望和奥列格·奈德诺夫溢油事件的建模,数值模拟和验证。

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摘要

The main goal of this article is to improve upon a previous model used to simulate the evolution of oil spots in the open sea and the effect of a skimmer ship pumping oil out from the spots. The concentration of the pollutant is subject to the effects of wind and sea currents, diffusion, and the pumping action of a skimmer (i.e., cleaning) ship that follows a pre-assigned trajectory. This implies that the mathematical model is of the advection-diffusion-reaction type. A drawback of our previous model was that diffusion was propagating with infinite velocity; in this article, we use an improved modeling relying on a nonlinear diffusion term, implying that diffusion propagates with finite velocity. To reduce numerical diffusion when approximating the advection part of the model, we consider second order discretization schemes with nonlinear flux limiters. We consider also absorbing boundary conditions to insure accurate results near the boundary. To reduce CPU time we use an operator-splitting scheme for the time discretization. Finally, we also introduce the modeling of coastlines and dynamic sources of pollutant. The novel approach we advocate in this article is validated by comparing our numerical results with real life measurements from the Oleg Naydenov and the Prestige oil spills, which took place in Spain in 2015 and 2002, respectively.
机译:本文的主要目的是改进以前的模型,该模型用于模拟公海油斑的演变以及撇油船从油斑中抽出油的效果。污染物的浓度受到风和海流,扩散以及遵循预定轨迹的撇油器(即清洁船)的抽水作用的影响。这意味着该数学模型是对流扩散反应类型的。我们先前模型的一个缺点是扩散以无限速度传播。在本文中,我们使用了依赖于非线性扩散项的改进模型,这表明扩散以有限的速度传播。为了在逼近模型的对流部分时减少数值扩散,我们考虑使用带有非线性通量限制器的二阶离散化方案。我们还考虑吸收边界条件以确保边界附近的准确结果。为了减少CPU时间,我们使用运算符拆分方案进行时间离散化。最后,我们还介绍了海岸线和污染物动态来源的建模。通过将我们的数值结果与分别于2015年和2002年在西班牙发生的Oleg Naydenov和Prestige漏油事件的实际测量结果进行比较,验证了我们在本文中倡导的新颖方法。

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