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REDUCTION OF SPURIOUS VELOCITY IN FINITE DIFFERENCE LATTICE BOLTZMANN MODELS FOR LIQUID–VAPOR SYSTEMS

Laboratory for Numerical Simulation and Parallel Computing in Fluid Mechanics, Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, R – 300223 Timişoara, Romania

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and

VICTOR SOFONEA

Corresponding author.

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https://doi.org/10.1142/S0129183103005388Cited by:51 (Source: Crossref)

Abstract

The origin of the spurious interface velocity in finite difference lattice Boltzmann models for liquid–vapor systems is related to the first order upwind scheme used to compute the space derivatives in the evolution equations. A correction force term is introduced to eliminate the spurious velocity. The correction term helps to recover sharp interfaces and sets the phase diagram close to the one derived using the Maxwell construction.

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References

D. H. Rothman and S. Zaleski , Lattice Gas Cellular Automata: Simple Models of Complex Hydrodynamics ( Cambridge University Press , Cambridge , 1997 ) . Crossref, Google Scholar
B. Chopard and M. Droz , Cellular Automata Modeling of Physical Systems ( Cambridge University Press , Cambridge , 1998 ) . Crossref, Google Scholar
D. A. Wolf-Gladrow , Lattice Gas Cellular Automata and Lattice Boltzmann Models ( Springer-Verlag , Berlin , 2000 ) . Crossref, Google Scholar
S. Succi , The Lattice Boltzmann Equation for Fluid Dynamics and Beyond ( Clarendon Press , Oxford , 2001 ) . Crossref, Google Scholar
K. Huang , Statistical Mechanics ( John Wiley and Sons Inc. , New York , 1963 ) . Google Scholar
P. L. Bhatnagar, E. P. Gross and M. Krook, Phys. Rev. 94, 5111 (1954). Google Scholar
V. Sofonea and R. F. Sekerka, Physica A 299, 494 (2001). Crossref, Web of Science, ADS, Google Scholar
X. He, X. Shan and G. Doolen, Phys. Rev. Lett. 57, R13 (1998). Web of Science, Google Scholar
R. R. Nourgalievet al., Int. J. Multiphase Flow 29, 117 (2003). Crossref, Web of Science, Google Scholar
X. He and L. S. Luo, Phys. Rev. E 55, R6333 (1997). Crossref, Web of Science, ADS, Google Scholar
X. He and L. S. Luo, Phys. Rev. E 56, 6811 (1997). Crossref, Web of Science, ADS, Google Scholar
L. S. Luo, Phys. Rev. E 62, 4982 (2000). Crossref, Web of Science, ADS, Google Scholar
V. Sofonea and R. F. Sekerka, J. Comput. Phys. 184, 422 (2003). Crossref, Web of Science, ADS, Google Scholar
A. Cristea and V. Sofonea, e-Print arXiv:nlin.CG/0305013, http://www.arXiv.org . Google Scholar
Y. H. Qian, D. D'Humières and P. Lallemand, Europhys. Lett. 17, 479 (1992). Crossref, ADS, Google Scholar
A. Cristea and V. Sofonea, Proc. Romanian Acad. Series A: Mathematics, Physics, Technical Sciences, Information Science 3, 87 (2002). Web of Science, Google Scholar
A. Cristea and V. Sofonea, Proc. Romanian Acad. Series A: Mathematics, Physics, Technical Sciences, Information Science 4, 59 (2003). Google Scholar
D. Kondepudi and I. Prigogine , Modern Thermodynamics: From Heat Engines to Dissipative Structures ( John Wiley and Sons Inc. , New York , 1998 ) . Google Scholar
N. Caoet al., Phys. Rev. E 55, R21 (1997). Crossref, Web of Science, ADS, Google Scholar
Y. Chenet al., Int. J. Mod. Phys. C 9, 1383 (1998). Link, Web of Science, ADS, Google Scholar
S. Teng, Y. Chen and H. Ohashi, Int. J. Heat and Fluid Flow 21, 112 (2000). Crossref, Web of Science, Google Scholar
S. Houet al., J. Comput. Phys. 138, 695 (1997). Crossref, Web of Science, ADS, Google Scholar