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A platform for research: civil engineering, architecture and urbanism
Mathematical Modeling and Numerical Algorithms for Simulation of Oil Pollution
Abstract This paper deals with the mathematical modeling and algorithms for the problem of oil pollution. For solving this task, we derive the adjoint problem for the advection–diffusion equation describing the propagation of oil slick after an accident, which we call the main problem. We prove a fundamental equality between the solutions of the main and the adjoint problems. Based on this equality, we propose a novel method for the identification of the pollution source location and the accident time of oil emission. This approach is illustrated on an example for an accident in the offshore of the central part of the Vietnamese coast. Numerical simulations demonstrate the effectiveness of the proposed method. Besides, the method is verified for 1D model of substance propagation.
Mathematical Modeling and Numerical Algorithms for Simulation of Oil Pollution
Abstract This paper deals with the mathematical modeling and algorithms for the problem of oil pollution. For solving this task, we derive the adjoint problem for the advection–diffusion equation describing the propagation of oil slick after an accident, which we call the main problem. We prove a fundamental equality between the solutions of the main and the adjoint problems. Based on this equality, we propose a novel method for the identification of the pollution source location and the accident time of oil emission. This approach is illustrated on an example for an accident in the offshore of the central part of the Vietnamese coast. Numerical simulations demonstrate the effectiveness of the proposed method. Besides, the method is verified for 1D model of substance propagation.
Mathematical Modeling and Numerical Algorithms for Simulation of Oil Pollution
Dang, Quang A. (author) / Ehrhardt, Matthias (author) / Tran, Gia Lich (author) / Le, Duc (author)
Environmental Modeling & Assessment ; 17 ; 275-288
2011-09-06
14 pages
Article (Journal)
Electronic Resource
English
Mathematical Modeling and Numerical Algorithms for Simulation of Oil Pollution
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Erratum to: Mathematical Modeling and Numerical Algorithms for Simulation of Oil Pollution
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