An enhanced multiphase ISPH-based method for accurate modeling of oil spill

References

• Carswell, C. 2018. “Unique Oil Spill in East China Sea Frustrates Scientists.” Nature 554 (7690): 17–18. doi:10.1038/d41586-018-00976-9.
   Google Scholar
• Chorin, A. J. 1968. “Numerical Solution of the Navier-Stokes Equations.” Mathematics of Computation 22 (104): 745–762. doi:10.1090/S0025-5718-1968-0242392-2.
   Web of Science ®Google Scholar
• Chorin, A. J., and J. E. Marsden. 1993. A Mathematical Introduction to Fluid Mechanics. New York: Springer. ISBN: 978-0387979182. 1993
   Google Scholar
• Chow, A. D., B. D. Rogers, S. J. Lind, and P. K. Stansby. 2018. “Incompressible SPH (ISPH) with Fast Poisson Solver on a GPU.” Computer Physics Communications 226: 81–103. doi:10.1016/j.cpc.2018.01.005.
   Web of Science ®Google Scholar
• Cruz, A. M., and E. Krausmann. 2009. “Hazardous-materials Releases from Offshore Oil and Gas Facilities and Emergency Response following Hurricanes Katrina and Rita.” Journal of Loss Prevention in the Process Industries 22 (1): 59–65. doi:10.1016/j.jlp.2008.08.007.
   Web of Science ®Google Scholar
• Cruz, A. M., E. Krausmann, and G. Franchello. 2011. “Analysis of Tsunami Impact Scenarios at an Oil Refinery.” Natural Hazards 58 (1): 141–162. doi:10.1007/s11069-010-9655-x.
   Web of Science ®Google Scholar
• Cummins, S. J., and M. Rudman. 1999. “An SPH Projection Method.” Journal of Computational Physics 152 (2): 584–607. doi:10.1006/jcph.1999.6246.
   Web of Science ®Google Scholar
• Donzis, D. A., K. Aditya, K. R. Sreenivasan, and P. K. Yeung. 2014. “The Turbulent Schmidt Number.” Journal of Fluids Engineering 58 (6): 060912_1-060912_5. doi:10.1115/1.4026619.
   Google Scholar
• Duan, G. T., and B. Chen. 2015. “Large Eddy Simulation by Particle Method Coupled with Sub-particle-scale Model and Application to Mixing Layer Flow.” Applied Mathematical Modelling 39 (10): 3135–3149. doi:10.1016/j.apm.2014.10.058.
   Web of Science ®Google Scholar
• Duan, G. T., B. Chen, S. Koshizuka, and H. Xiang. 2017b. “Stable Multiphase Moving Particle Semi-implicit Method for Incompressible Interfacial Flow.” Computer Methods in Applied Mechanics and Engineering 318: 636–666. doi:10.1016/j.cma.2017.01.002.
   Web of Science ®Google Scholar
• Duan, G. T., B. Chen, X. Zhang, and Y. Wang. 2017a. “A Multiphase MPS Solver for Modeling Multi-fluid Interaction with Free Surface and Its Application in Oil Spill.” Computer Methods in Applied Mechanics and Engineering 318: 636–666. doi:10.1016/j.cma.2017.01.002.
   Google Scholar
• Duan, G. T., S. Koshizuka, and B. Chen. 2015. “A Contoured Continuum Surface Force Model for Particle Methods.” Journal of Computational Physics 298 (8): 280–304. doi:10.1016/j.jcp.2015.06.004.
   Google Scholar
• Duan, G. T., S. Koshizuka, A. Yamaji, B. Chen, X. Li, and T. Tamai. 2018. “An Accurate and Stable Multiphase Moving Particle Semi-implicit Method Based on Corrective Matrix for All Particle Interaction Models.” International Journal for Numerical Methods in Engineering 115 (10): 1287–1314. doi:10.1002/nme.5844.
   Web of Science ®Google Scholar
• Duan, G. T., A. Yamaji, S. Koshizuka, and B. Chen. 2019. “The Truncation and Stabilization Error in Multiphase Moving Particle Semi-implicit Method Based on Corrective Matrix: Which Is Dominant?” Computers & Fluids 190: 254–273. doi:10.1016/j.compfluid.2019.06.023.
   Web of Science ®Google Scholar
• Foias, C., O. Manley, R. Rosa, and R. Temam. 2001. Navier–Stokes Equations and Turbulence. ISBN: 978-0511546754. Cambridge: Cambridge University Press.
   Google Scholar
• Gingold, R. A., and J. J. Monaghan. 1977. “Smoothed Particle Hydrodynamics: Theory and Application to Non-spherical Stars.” Monthly Notices of the Royal Astronomical Society 181 (3): 375–389. doi:10.1093/mnras/181.3.375.
   Web of Science ®Google Scholar
• Gotoh, H. 2018. Ryushiho. (in Japanese). ISBN-10: 4627922310. Tokyo: Morikita Shuppan.
   Google Scholar
• Gotoh, H., and A. Khayyer. 2018. “On the State-of-the-art of Particle Methods for Coastal and Ocean Engineering.” Coastal Engineering Journal 60 (1): 79–103. doi:10.1080/21664250.2018.1436243.
   Web of Science ®Google Scholar
• Gotoh, H., and A. Okayasu. 2017. “Computational Wave Dynamics for Innovative Design of Coastal Structures.” Proceedings of the Japan Academy, Ser. B, Physical and Biological Sciences 93 (8): 525–546. doi:10.2183/pjab.93.034.
   Web of Science ®Google Scholar
• Gotoh, H., A. Okayasu, and Y. Watanabe. 2013. Computational Wave Dynamics. ISBN: 978–981–4449–70–0. Singapore: World Scientific Publishing Co. Pte.
   Google Scholar
• Gotoh, H., T. Shibahara, and T. Sakai. 2001. “Sub-Particle-Scale Turbulence Model for the MPS Method – Lagrangian Flow Model for Hydraulic Engineering.” Computational Fluid of Dynamic Journal 9 (4): 339–347.
   Google Scholar
• Grenier, N., M. Antuono, A. Colagrossi, D. Le Touzé, and B. Alessandrini. 2009. “An Hamiltonian Interface SPH Formulation for Multi-fluid and Free Surface Flows.” Journal of Computational Physics 228 (22): 8380–8393. doi:10.1016/j.jcp.2009.08.009.
   Web of Science ®Google Scholar
• Gualtieri, C., A. Angeloudis, F. Bombardelli, S. Jha, and T. Stoesser. 2017. “On the Values for the Turbulent Schmidt Number in Environmental Flows.” Fluids 2 (2): 17. doi:10.3390/fluids2020017.
   Web of Science ®Google Scholar
• Harada, E., H. Ikari, A. Khayyer, and H. Gotoh. 2019. “Numerical Simulation for Swash Morphodynamics by DEM–MPS Coupling Model.” Coastal Engineering Journal 61 (1): 2–14. doi:10.1080/21664250.2018.1554203.
   Web of Science ®Google Scholar
• Ikari, H., and H. Gotoh. 2018. “Numerical Modeling of Density Currents Using an Incompressible Smoothed Particle Hydrodynamics Method.” Computers & Fluids 167: 372–383. doi:10.1016/j.compfluid.2018.02.036.
   Web of Science ®Google Scholar
• Jeong, S. M., J. W. Nam, S. C. Hwang, J. C. Park, and M. H. Kim. 2013. “Numerical Prediction of Oil Amount Leaked from a Damaged Tank Using Two-dimensional Moving Particle Simulation Method.” Ocean Engineering 69: 70–78. doi:10.1016/j.oceaneng.2013.05.009.
   Web of Science ®Google Scholar
• Khayyer, A., and H. Gotoh. 2009. “Modified Moving Particle Semi-implicit Methods for the Prediction of 2D Wave Impact Pressure.” Coastal Engineering 56 (4): 419–440. doi:10.1016/j.coastaleng.2008.10.004.
   Web of Science ®Google Scholar
• Khayyer, A., and H. Gotoh. 2010. “A Higher Order Laplacian Model for Enhancement and Stabilization of Pressure Calculation by the MPS Method.” Applied Ocean Research 32 (1): 124–131. doi:10.1016/j.apor.2010.01.001.
   Web of Science ®Google Scholar
• Khayyer, A., and H. Gotoh. 2011a. “Enhancement of Stability and Accuracy of the Moving Particle Semi-implicit Method.” Journal of Computational Physics 230 (8): 3093–3118. doi:10.1016/j.jcp.2011.01.009.
   Web of Science ®Google Scholar
• Khayyer, A., and H. Gotoh. 2011b. “Enhancement of Stability and Accuracy of the Moving Particle Semi-implicit Method.” Journal of Computational Physics 230 (8): 3093–3118. doi:10.1016/j.jcp.2011.01.009.
   Web of Science ®Google Scholar
• Khayyer, A., and H. Gotoh. 2013. “Enhancement of Performance and Stability of MPS Meshfree Particle Method for Multiphase Flows Characterized by High Density Ratios.” Journal of Computational Physics 242: 211–233. doi:10.1016/j.jcp.2013.02.002.
   Web of Science ®Google Scholar
• Khayyer, A., H. Gotoh, H. Falahaty, and Y. Shimizu. 2018a. “An Enhanced ISPH-SPH Coupled Method for Simulation of Incompressible Fluid-elastic Structure Interactions.” Computer Physics Communications 232: 139–164. doi:10.1016/j.cpc.2018.05.012.
   Web of Science ®Google Scholar
• Khayyer, A., H. Gotoh, H. Falahaty, Y. Shimizu, and Y. Nishijima. 2017a. “Towards Development of a Reliable fully-Lagrangian MPS-based FSI Solver for Simulation of 2D Hydroelastic Slamming.” Search Results 7: 299–318.
   Google Scholar
• Khayyer, A., H. Gotoh, and Y. Shimizu. 2017b. “Comparative Study on Accuracy and Conservation Properties of Two Particle Regularization Schemes and Proposal of an Optimized Particle Shifting Scheme in ISPH Context.” Journal of Computational Physics 69: 236–256. doi:10.1016/j.jcp.2016.12.005.
   Google Scholar
• Khayyer, A., H. Gotoh, and Y. Shimizu. 2019. “A Projection-Based Particle Method with Optimized Particle Shifting for Multiphase Flows with Large Density Ratios and Discontinuous Density Fields.” Computers & Fluids 56: 356–371. doi:10.1016/j.compfluid.2018.10.018.
   Google Scholar
• Khayyer, A., H. Gotoh, Y. Shimizu, K. Gotoh, H. Falahaty, and S. Shao. 2018b. “Development of a Projection-based SPH Method for Numerical Wave Flume with Porous Media of Variable Porosity.” Coastal Engineering 140: 1–22. doi:10.1016/j.coastaleng.2018.05.003.
   Web of Science ®Google Scholar
• Khayyer, A., H. Gotoh, and N. Tsuruta. 2014. “A New Surface Tension for Particle Methods with Enhanced Splash Computation.” JJapan Society of Civil Engineers Series B2 (Coastal Engineering) 70 (2): I_26- I_30.
   Google Scholar
• Kim, M., U. H. Yim, S. H. Hong, J. H. Jung, H. W. Choi, J. An, J. Won, and W. J. Shim. 2010. “Hebei Spirit Oil Spill Monitored on Site by Fluorometric Detection of Residual Oil in Coastal Waters off Taean, Korea.” Marine Pollution Bulletin 60 (3): 383–389. doi:10.1016/j.marpolbul.2009.10.015.
   Web of Science ®Google Scholar
• Kim, T. S., K. A. Park, X. Li, M. Lee, S. Hong, S. J. Lyu, and S. Nam. 2015. “Detection of the Hebei Spirit Oil Spill on SAR Imagery and Its Temporal Evolution in a Coastal Region of the Yellow Sea.” Advances in Space Research 56 (6): 1079–1093. doi:10.1016/j.asr.2015.05.040.
   Web of Science ®Google Scholar
• Kondo, M., S. Koshizuka, K. Suzuki, and M. Takimoto 2007. “Surface Tension Model Using Inter-Particle Force in Particle Method.” Proceedings of the ASME/JSME 2007 5th Joint Fluids Engineering Conference 1: 93–98. doi:10.1115/FEDSM2007-37215.
   Google Scholar
• Koshizuka, S., and Y. Oka. 1996. “Moving Particle Semi-implicit Method for Fragmentation of Incompressible Fluid.” Nuclear Science and Engineering 123 (3): 421–434. doi:10.13182/NSE96-A24205.
   Web of Science ®Google Scholar
• Krausmann, E., and A. M. Cruz. 2013. “Impact of the 11 March 2011, Great East Japan Earthquake and Tsunami on the Chemical Industry.” Natural Hazards 67 (2): 811–828. doi:10.1007/s11069-013-0607-0.
   Web of Science ®Google Scholar
• Kyaw, W. P., M. Sugiyama, Y. Takagi, H. Suzuki, and N. Kato. 2017. “Numerical Analysis of Tsunami-triggered Oil Spill from Industrial Parks in Osaka Bay.” Journal of Loss Prevention in the Process Industries 50: 325–336. doi:10.1016/j.jlp.2017.04.026.
   Web of Science ®Google Scholar
• Li, C., J. Miller, J. Wang, S. S. Koley, and J. Katz. 2017. “Size Distribution and Dispersion of Droplets Generated by Impingement of Breaking Waves on Oil Slicks.” Journal of Geophysical Research: Oceans 122 (10): 7938–7957. doi:10.1002/2017JC013193.
   Web of Science ®Google Scholar
• Lu, J., Z. Yang, H. Wu, W. Wu, J. Deng, and S. Yan. 2018. “Effects of Tank Sloshing on Submerged Oil Leakage from Damaged Tankers.” Ocean Engineering 168: 155–172. doi:10.1016/j.oceaneng.2018.08.015.
   Web of Science ®Google Scholar
• Lucy, L. B. 1977. “A Numerical Approach to the Testing of Fission Hypothesis.” The Astronomical Journal 82: 1013–1024. doi:10.1086/112164.
   Web of Science ®Google Scholar
• Maslo, A., J. Panjan, and D. Žagar. 2014. “Large-scale Oil Spill Simulation Using the Lattice Boltzmann Method, Validation on the Lebanon Oil Spill Case.” Marine Pollution Bulletin 84 (1–2): 225–235. doi:10.1016/j.marpolbul.2014.05.008.
   Web of Science ®Google Scholar
• Mitsch, W. J. 2010. “The 2010 Oil Spill in the Gulf of Mexico: What Would Mother Nature Do?” Ecological Engineering 36 (12): 1607–1610. doi:10.1016/j.ecoleng.2010.08.009.
   Web of Science ®Google Scholar
• Mokos, A., B. D. Rogers, and P. K. Stansby. 2017. “A Multi-phase Particle Shifting Algorithm for SPH Simulations of Violent Hydrodynamics with A Large Number of Particles.” Journal of Hydraulic Research 55 (2): 143–162. doi:10.1080/00221686.2016.1212944.
   Web of Science ®Google Scholar
• Nakamura, M., Y. Ikeda, A. Matsumoto, H. Maki, and H. Arakawa. 2018. “Distribution of Hydrocarbons in Seabed Sediments Derived from Tsunami-spilled Oil in Kesennuma Bay, Japan.” Marine Pollution Bulletin 128: 115–125. doi:10.1016/j.marpolbul.2017.12.018.
   PubMed Web of Science ®Google Scholar
• Rezavand, M., M. Taeibi-Rahni, and W. Rauch. 2018. “An ISPH Scheme for Numerical Simulation of Multiphase Flows with Complex Interfaces and High Density Ratios.” Computers & Mathematics with Applications 75 (8): 2658–2677. doi:10.1016/j.camwa.2017.12.034.
   Web of Science ®Google Scholar
• Rosén, C., and C. Trägrdh. 1995. “Prediction of Turbulent High Schmidt Number Mass Transfer Using a Low Reynolds Number K-ϵ Turbulence Model.” Chemical Engineering Journal 59: 153–159.
   Web of Science ®Google Scholar
• Shao, S., and E. Y. M. Lo. 2003. “Incompressible SPH Method for Simulating Newtonian and non-Newtonian Flows with a Free Surface.” Advances in Water Resources 26 (7): 787–800. doi:10.1016/S0309-1708(03)00030-7.
   Web of Science ®Google Scholar
• Shi, Y., S. Li, H. Chen, M. He, and S. Shao. 2018. “Improved SPH Simulation of Spilled Oil Contained by Flexible Floating Boom under Wave–current Coupling Condition.” Journal of Fluids and Structures 76: 272–300. doi:10.1016/j.jfluidstructs.2017.09.014.
   Web of Science ®Google Scholar
• Shimizu, Y., H. Gotoh, and A. Khayyer. 2018a. “An MPS-based Particle Method for Simulation of Multiphase Flows Characterized by High Density Ratios by Incorporation of Space Potential Particle Concept.” Computers & Mathematics with Applications 76 (5): 1108–1129. doi:10.1016/j.camwa.2018.06.002.
   Web of Science ®Google Scholar
• Shimizu, Y., A. Khayyer, H. Gotoh, and K. Nagashima. 2018b. “Oil Spill Simulation by Enhanced ISPH Method with SPS Turbulence Model.” JJapan Society of Civil Engineers Series B2 (Coastal Engineering) 74 (2): I_1129-I_1134. (in Japanese).
   Google Scholar
• Sun, P. N., M. Luo, D. Le Touzé, and A. M. Zhang. 2019. “The Suction Effect during Freak Wave Slamming on a Fixed Platform Deck: Smoothed Particle Hydrodynamics Simulation and Experimental Study.” Physics of Fluids 31 (11): 117108. doi:10.1063/1.5124613.
   Web of Science ®Google Scholar
• Tartakovsky, A. M., and P. Meakin. 2005. “Modeling of Surface Tension and Contact Angles with Smoothed Particle Hydrodynamics.” Physical Review E 72 (2): 026301. doi:10.1103/PhysRevE.72.026301.
   Web of Science ®Google Scholar
• Tartakovsky, A. M., N. Trask, K. Pan, B. Jones, W. Pan, and J. R. Williams. 2016. “Smoothed Particle Hydrodynamics and Its Applications for Multiphase Flow and Reactive Transport in Porous Media.” Computational Geosciences 20 (4): 807–834. doi:10.1007/s10596-015-9468-9.
   Web of Science ®Google Scholar
• Tsuruta, A., A. Khayyer, and H. Gotoh. 2013. “A Short Note on Dynamic Stabilization of Moving Particle Semi-implicit Method.” Computers & Fluids 82: 158–164. doi:10.1016/j.compfluid.2013.05.001.
   Web of Science ®Google Scholar
• Tsuruta, N., H. Gotoh, K. Suzuki, H. Ikari, and K. Shimosako. 2019. “Development of PARISPHERE as the Particle-based Numerical Wave Flume for Coastal Engineering Problems.” Coastal Engineering Journal 61 (1): 41–62. doi:10.1080/21664250.2018.1560683.
   Web of Science ®Google Scholar
• Violeau, D., C. Buvat, K. Abed-Meraim, and E. de Nanteuil. 2007. “Numerical Modelling of Boom and Oil Spill with SPH.” Coastal Engineering 54 (12): 895–913. doi:10.1016/j.coastaleng.2007.06.001.
   Web of Science ®Google Scholar
• Wada, H. 2011a. Yousui/haisui No Sangyousyorigijutu (Industrial Disposal Technique for Industrial Water and Waste Water). (in Japanese). Tokyo: Tokyo Denki University Press.
   Google Scholar
• Wada, H. 2011b. Pointo Kaisetu; Mizusyorigijutu (Point Explanation; Water Treatment System). (in Japanese). Tokyo: Tokyo Denki University Press.
   Google Scholar
• Wang, L., A. Khayyer, H. Gotoh, Q. Jiang, and C. Zhang. 2019. “Enhancement of Pressure Calculation in Projection-based Particle Methods by Incorporation of Background Mesh Scheme.” Coastal Engineering Journal 86: 320–339. doi:10.1016/j.apor.2019.01.017.
   Google Scholar
• Wei, Z., C. Li, R. A. Dalrymple, M. Derakhti, and J. Katz. 2018. “Chaos in Breaking Waves.” Coastal Engineering 140: 272–291. doi:10.1016/j.coastaleng.2018.08.001.
   Web of Science ®Google Scholar
• Wei, Z., H. Shi, C. Li, J. Katz, R. A. Dalrymple, and G. Bilotta 2016. “Behavior of Oil under Breaking Waves by a Two-phase SPH Model.” Proceedings of the 11th international SPHERIC workshop, Munich, Germany, June.
   Google Scholar
• Wen, X., D. Wan, and G. Chen 2018. “Multiphase MPS Method for Two-Layer-Liquid Sloshing Flows in Oil-Water Separators.” Proceedings of the Twenty-eighth International Ocean and Polar Engineering Conference, Sapporo, Japan, June 10–15.
   Google Scholar
• Wendland, H. 1995. “Piecewise Polynomial, Positive Definite and Compactly Supported Radial Functions of Minimal Degree.” Advances in Computational Mathematics 4 (1): 389–396. doi:10.1007/BF02123482.
   Google Scholar
• Yan, B., M. Luo, and W. Bai. 2019. “An Experimental and Numerical Study of Plunging Wave Impact on a Box-shape Structure.” Marine Structures 66: 272–287. doi:10.1016/j.marstruc.2019.05.003.
   Web of Science ®Google Scholar
• Yang, X. F., and M. B. Liu. 2013. “Numerical Modeling of Oil Spill Containment by Boom Using SPH.” Science China Physics, Mechanics and Astronomy 56 (2): 315–321. doi:10.1007/s11433-012-4980-6.
   Web of Science ®Google Scholar
• Ye, X., B. Chen, P. Li, L. Jing, and G. Zeng. 2019. “A Simulation-based Multi-agent Particle Swarm Optimization Approach for Supporting Dynamic Decision Making in Marine Oil Spill Responses.” Ocean & Coastal Management 172: 128–136. doi:10.1016/j.ocecoaman.2019.02.003.
   Web of Science ®Google Scholar
• Zheng, X., S. Shao, A. Khayyer, W. Duan, Q. Ma, and K. Liao. 2017. “Corrected First-order Derivative ISPH in Water Wave Simulations.” Coastal Engineering Journal 59 (1): 1750010. doi:10.1142/S0578563417500103.
   Web of Science ®Google Scholar