Extending Voronoi-diagram based modeling of oil slick spreading to surface tension-viscous spreading regime
Autor: | Metehan Erdogan, Ismail Durgut, Mark Reed |
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Přispěvatelé: | OpenMETU |
Rok vydání: | 2020 |
Předmět: |
0106 biological sciences
Computer simulation Turbulence Viscosity 010604 marine biology & hydrobiology Gaussian Large range Mechanics 010501 environmental sciences Racing slick Aquatic Science Random walk Oceanography 01 natural sciences Pollution Surface tension Diffusion symbols.namesake symbols Surface Tension Voronoi diagram Geology 0105 earth and related environmental sciences Forecasting Gravitation |
Popis: | An earlier paper demonstrated a methodology for modeling the spreading process with a Gaussian random walk procedure, but was limited to the gravity-viscous spreading regime. Here we extend the methodology of re-presenting spread and transport of oil slicks on calm sea surface by updated Voronoi diagrams to account for the surface tension-viscous spreading regime as well. We have utilized the analogy between diffusion and spreading processes by defining a step length for the particle-based random walk scheme. In this study, calculation of the diffusive length is improved by including the surface tension term in the numerical solution method. The results from the numerical simulation of the spreading oil slick agree very well with the analytical solutions. The solution is robust in that good agreement is achieved for a large range of model and numerical solution parameters. This modeling procedure remains valid only for passive, quiescent spreading. The inclusion of spreading due to important horizontal and vertical turbulent shear processes in the Voronoi diagram paradigm remains a challenge for future work. |
Databáze: | OpenAIRE |
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