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Double Diffusive Natural Convection in Hydrothermal Systems: Numerical Simulation by Lattice Boltzmann Method

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Computational Intelligence and Intelligent Systems (ISICA 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 316))

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Abstract

The double diffusive natural convection of ore-forming fluid in hydrothermal system is numerically simulated in two dimensions by lattice Boltzmann method (LBM). A buoyancy force proportional to the temperature and concentration is applied to the fluid in a rectangular enclosures according to the Boussinesq approximation. The non-equilibrium extrapolation boundary condition is employed in the horizontal direction, while the isothermal and isoconcentrations boundary conditions are imposed in the vertical direction. The temperature field and concentration field are passively advected by the fluid flow, which obey the same equations as those of the multicomponent mixtures within the lattice Boltzmann framework. The enrichment region of the ore-forming fluid is found to focus on the top of the uplift zone. The results are in agreement with those of the previous studies. The LBM provides an alternative to the numerical simulations of the enrichment of ore-forming elements in hydrothermal systems.

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References

  1. McNamara, G.R., Zanetti, G.: Use of the boltzmann equation to simulate lattice-gas automata. Phys. Rev. Lett. 61, 2332–2335 (1988)

    Article  Google Scholar 

  2. Shan, X.: Simulation of rayleigh-bénard convection using a lattice boltzmann method. Phys. Rev. E 55, 2780–2788 (1997)

    Article  Google Scholar 

  3. Chen, S., Doolen, G.D.: Lattice boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30, 329–364 (1998)

    Article  MathSciNet  Google Scholar 

  4. Wolf-Gladrow, D.A.: Lattice-Gas Cellular Automata and Lattice Boltzmann Models - An Introduction. Springer, Berlin (2005)

    Google Scholar 

  5. Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. i. small amplitude processes in charged and neutral one-component system. Phys. Rev. 94, 511–525 (1954)

    Article  MATH  Google Scholar 

  6. Young, Y., Rosner, R.: Numerical simulation of double-diffusive convection in a rectangular box. Phys. Rev. E 61, 2676–2694 (1988)

    Article  Google Scholar 

  7. Yang, R., Ma, D., Bao, Z., Pan, J., Cao, S., Xia, F.: Geothermal and fluid flowing simulation of ore-forming antimony deposits in xikuangshan. Science in China D 49, 862–871 (2006)

    Article  Google Scholar 

  8. Yang, R.: The Study of Metallogenesis and Concentration for Ore-forming in the Sedimentary Basins: A Case Study from the Xikuangshan Antimony Deposits. Press of China University of Geosciences, Wuhan (2005) (in Chinese)

    Google Scholar 

  9. Guo, Z., Shi, B., Zheng, C.: A coupled lattice bgk model for the boussinesq equations. Int. J. Numer. Meth. Fluids 39, 325–342 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  10. Guo, Z., Zheng, C., Shi, B.: Discrete lattice effects on the forcing term in the lattice boltzmann method. Phys. Rev. E 65, 046308 (2002)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Qiang, W., Cao, H. (2012). Double Diffusive Natural Convection in Hydrothermal Systems: Numerical Simulation by Lattice Boltzmann Method. In: Li, Z., Li, X., Liu, Y., Cai, Z. (eds) Computational Intelligence and Intelligent Systems. ISICA 2012. Communications in Computer and Information Science, vol 316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34289-9_31

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  • DOI: https://doi.org/10.1007/978-3-642-34289-9_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34288-2

  • Online ISBN: 978-3-642-34289-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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