Modares Mechanical Engineering

Modares Mechanical Engineering

The effects of boom on oil plume dispersion using smoothed particle hydrodynamics‌ (SPH)

Authors
Mehdi Rostami Hosseinkhani1 1
Pourya Omidvar
Sara Allahyaribeik 2
Masoud Torabi Azad 3
1 PhD Candidate of Physical Oceanography
2 Department of Physical Oceanography, Faculty of Science and Research Branch, Islamic Azad University, Tehran, Iran
3 Department of Physical Oceanography, Faculty of North Tehran Branch, Islamic Azad University, Tehran, Iran
Abstract
Dispersion of oil pollutants is one of the important topics of great concern which should be modeled for a wide range of hydrodynamic systems such as seas and oceans. In this paper, the effects of using booms on the oil plume are simulated using the Smoothed Particle Hydrodynamics (SPH) Method. The open-source SPHysics2D code is developed into two phase by adding the effects of surface tension and an added pressure term to the momentum equation. Several problems of plume dynamics are shown, and the performance of the developed code is evaluated. Firstly, the rising pattern of an oil plume with the density ratio of 0.8 is simulated where the results are compared with the analytical solution. Then, the rising pattern of a plume with density ratio of 0.1 is simulated and the time evolutions of the rising velocity and center of mass are shown. The simulation of the cnoidal wave on beaches is conducted and compared with an available experimental result. Finally, the effects of a boom with different angles on the oil plume dispersion are investigated. It will be shown that the SPH method could be an optimized method for the numerical simulation of the complex problems such as water wave dynamics and two-phase flows.
Keywords
Smoothed Particle Hydrodynamics
Two-phase flows
Boom
Oil plume dispersion
[1] J. Hua, J. Lou, Numerical simulation of bubble rising in viscous liquid, Journal of Computational Physics, Vol. 222, No. 2, pp. 769-795, 2007.
[2] F. A. Ghannad, F. Vafaei, M. M. Aragh, simulation of numerical model for oil pollution on the sea, International Journal of Maritime Technology, Vol. 6, No.11, pp. 37-43, 2010. (in Persian فارسی(
[3] Z. Sultana, Finite Element Simulation of Interfacial Flows on Unstructured Meshes using a Second-order Accurate VOF Method, PhD Thesis, University of Toronto, Toronto, 2012.
[4] R. A. Gingold, J. J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Monthly Notices of the Royal Astronomical Society, Vol. 181, No. 3, pp. 375-389, 1977.
[5] J. J. Monaghan, Simulating Free Surface Flows with SPH, Journal of Computational Physics, Vol. 110, No. 2, pp. 399-406, 1994.
[6] P. Omidvar, H. Norouzi, A. Zarghami, Smoothed Particle Hydrodynamics for water wave propagation in a channel, International Journal of Modern Physics C, Vol. 26, No. 08, pp. 1550085, 2015.
[7] P. Omidvar, P. K. Stansby, B. D. Rogers, SPH for 3D floating bodies using variable mass particle distribution, International Journal for Numerical Methods in Fluids, Vol. 72, No. 4, pp. 427-452, 2013.
[8] P. Omidvar, P. K. Stansby, B. D. Rogers, Wave body interaction in 2D using smoothed particle hydrodynamics (SPH) with variable particle mass, International Journal for Numerical Methods in Fluids, Vol. 68, No. 6, pp. 686-705, 2012.
[9] P. Omidvar, O. Farghadani, P. Nikeghbali, SPH for impact force and ricochet behavior of water-entry bodies, International Journal of Modern Physics C, Vol. 28, No. 10, pp. 1750119, 2017.
[10] M. Pourabdian, P. Omidvar, M. R. Morad, Multiphase simulation of liquid jet breakup using smoothed particle hydrodynamics, International Journal of Modern Physics C, Vol. 28, No. 04, pp. 1750054, 2017.
[11] M. Pourabdian, P. Omidvar, M. R. Morad, Numerical simulation of liquid jet breakup using smoothed particle hydrodynamics (SPH), Modares Mechanical Engineering, Vol. 16, No. 3, pp. 55-66, 2016. (in Persian فارسی(
[12] H. Zamanipour, P. Omidvar, A. Tayebi, Investigation of convectiondiffusion process in a two-phase air-water flow using Smoothed Particle Hydrodynamics, Modares Mechanical Engineering, Vol. 17, No.2, pp. 115- 125, 2017. (in Persian فارسی(
[13] P. Omidvar, P. Nikeghbali, Simulation of violent water flows over a movable bed using smoothed particle hydrodynamics, Journal of Marine Science and Technology, Vol. 22, No. 2, pp. 270-287, 2017.
[14] P. Nikeghbali, P. Omidvar, Investigation of Breaking and Undular Tidal Bores on a Movable Bed Using SPH, Journal of Waterway, Port, Coastal, and Ocean Engineering,Vol. 144, No. 2, pp. 04017040, 2017.
[15] P. W. Cleary, J. J. Monaghan, Conduction Modelling Using Smoothed Particle Hydrodynamics, Journal of Computational Physics, Vol. 148, No. 1, pp. 227-264, 1999.
[16] J. P. Morris, Simulating surface tension with smoothed particle hydrodynamics, International Journal for Numerical Methods in Fluids, Vol. 33, No. 3, pp. 333-353, 2000.
[17] A. Colagrossi, M. Landrini, Numerical simulation of interfacial flows by smoothed particle hydrodynamics, Journal of Computational Physics, Vol. 191, No. 2, pp. 448-475, 2003.
[18] X. Y. Hu, N. A. Adams, A multi-phase SPH method for macroscopic and mesoscopic flows, Journal of Computational Physics, Vol. 213, No. 2, pp. 844-861, 2006.
[19] N. Grenier, M. Antuono, A. Colagrossi, D. L. Touz, B. Alessandrini, An Hamiltonian interface SPH formulation for multi-fluid and free surface flows, Journal of Computational Physics, Vol. 228, No. 22, pp. 8380-8393, 2009.
[20] A. K. Das, P. K. Das, Bubble evolution through submerged orifice using smoothed particle hydrodynamics: Basic formulation and model validation, Chemical Engineering Science, Vol. 64, No. 10, pp. 2281-2290, 2009.
[21] J. Monaghan, A turbulence model for Smoothed Particle Hydrodynamics, European Journal of Mechanics-B/Fluids, Vol. 30, No. 4, pp. 360-370, 2011.
[22] J. Monaghan, A. Rafiee, A simple SPH algorithm for multi‐fluid flow with high density ratios, International Journal for Numerical Methods in Fluids, Vol. 71, No. 5, pp. 537-561, 2013.
[23] D. Violeau, B. D. Rogers, Smoothed particle hydrodynamics (SPH) for freesurface flows: past, present and future, Journal of Hydraulic Research, Vol. 54, No. 1, pp. 1-26, 2016.
[24] M. Rostami, P. Omidvar, Smoothed Particle Hydrodinamics for the Rising Pattern of Oil Droplets, Journal of Fluid Engineering, 2018, In press.
[25] J. J. Monaghan, Smoothed particle hydrodynamics, Reports on Progress in Physics, Vol. 68, No. 8, pp. 1703, 2005.
[26] A. Colagrossi, M. Landrini, Numerical Simulation of Interfacial Flows by Smoothed Particle Hydrodynamics, Vol. 191, pp. 448-475, 2003.
[27] G. K. Batchelor, An Introduction to Fluid Dynamics: Cambridge University Press, pp. 14-28, 2000.
[28] J. P. Morris, P. J. Fox, Y. Zhu, Modeling Low Reynolds Number Incompressible Flows Using SPH, Journal of Computational Physics, Vol. 136, No. 1, pp. 214-226, 1997.
[29] H. Wendland, Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree, Advances in computational Mathematics, Vol. 4, No. 1, pp. 389-396, 1995.
[30] Y. Yovel, M. O. Franz, P. Stilz, H. U. Schnitzler, Plant classification from bat-like echolocation signals, PLoS Computational Biology, Vol. 4, No. 3, pp. 1-13, 2008.
[31] J. J. Monaghan, A. Kos, Solitary Waves on a Cretan Beach, Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 125, No. 3, pp. 145- 155, 1999.
[32] P. Omidvar, Wave loading on bodies in the free surface using Smoothed Particle Hydrodynamics (SPH), PhD Thesis, UK, Manchester, pp. 75-85, 2010.
[33] J. J. Monaghan, On the problem of penetration in particle methods, Journal of Computational Physics, Vol. 82, No. 1, pp. 1-15, 1989.
[34] S. R. Hysing, S. Turek, D. Kuzmin, N. Parolini, E. Burman, S. Ganesan, L. Tobiska, Quantitative benchmark computations of two‐dimensional bubble dynamics, International Journal for Numerical Methods in Fluids, Vol. 60, No. 11, pp. 1259-1288, 2009.
[35] K. Zheng, Z.C. Sun, J.W. Sun, Z.M. Zhang, G.P. Yang, Z. Feng, Numerical simulations of water wave dynamics based on SPH methods, Journal of Hydrodynamics, Vol. 21, No. 6, pp. 843-850, 2009.
Modares Mechanical Engineering
Volume 18, Issue 3
May 2018
Pages 29-37