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A second-order particle tracking method

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Abstract

An accurate particle tracking method for a finite difference method model is developed using a constant acceleration method. Being assumed constant temporal and spatial gradients, the new method permits temporal-spatial variability of particle velocity. Test results in a solid rotating flow show that the new method has second-order accuracy. The performance of the new method is compared with that of other methods; the first-order Euler forward method, and the second-order Euler predictorcorrector method. The new method is the most efficient method among the three. It is more accurate and efficient than the other two.

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References

  • Abulaban, A. and J.L. Nieber. 2000. Modeling the effects of nonlinear equilibrium sorption on the transport of solute plumes in saturated heterogeneous porous media.Adv. Water Res.,23, 893–905.

    Article  Google Scholar 

  • Al-Rabeh, A.H. and N. Gunay. 1992. On the application of a particle dispersion model.Coastal Eng.,17, 195–210.

    Article  Google Scholar 

  • Bennett, J.R. and A.H. Clites. 1987. Accuracy of trajectory calculation in a finite-difference circulation model.J. Comp. Phys.,68, 272–282.

    Article  Google Scholar 

  • Bensabat, J., Q. Zhou, and J. Bear. 2000. An adaptive pathlinebased particle tracking algorithm for the Eulerian-Lagrangian method.Adv. Water Res.,23, 383–397.

    Article  Google Scholar 

  • Cheng, R.T. and V. Casulli. 1982. On Lagrangian residual currents with applications in South San Francisco Bay, California.Water Resour. Res.,18(6), 1652–1662.

    Article  Google Scholar 

  • Dimou, K.N. and E.E. Adams. 1995. A random-walk, particle tracking model for well-mixed estuaries and coastal waters.Estuar. Coast. Shelf Sci.,37, 99–110.

    Article  Google Scholar 

  • Foreman, M.G.G., A.M. Baptista, and R.A. Walters. 1992. Tidal model studies of particle trajectories around a shallow coastal bank.Atmos. Ocean,30(1), 43–69.

    Google Scholar 

  • Hassan, A.E., R. Andricevic, and V. Cvetkovic. 2001. Computational issues in the determination of solute discharge moments and implications for comparison to analytical solutions.Adv. Water Res.,24, 607–619.

    Article  Google Scholar 

  • Suh, S.W. 1998. Thermal dispersion analysis using semi-active particle tracking in near field combined with two-dimensional Eulerian-Lagrangian far field model.J. Kor. Soc. Coast. Ocean Eng.,10(2) 73–82. (In Korean)

    Google Scholar 

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Authors and Affiliations

  1. Ocean Circulation and Climate Research Division, KORDI, P.O. Box 29, 425-600, Ansan, Seoul, Korea

    Seok Lee, Heung-Jae Lie, Kyu-Min Song & Chong-Jeanne Lim

Authors
  1. Seok Lee
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  2. Heung-Jae Lie
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  3. Kyu-Min Song
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  4. Chong-Jeanne Lim
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Correspondence to Seok Lee.

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Lee, S., Lie, HJ., Song, KM. et al. A second-order particle tracking method. Ocean Sci. J. 40, 201–208 (2005). https://doi.org/10.1007/BF03023519

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  • DOI: https://doi.org/10.1007/BF03023519

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