Numerical methods for the stochastic Landau-Lifshitz Navier-Stokes equations.

@article{Bell2007NumericalMF,
  title={Numerical methods for the stochastic Landau-Lifshitz Navier-Stokes equations.},
  author={John B. Bell and Alejandro L. Garcia and Sarah A. Williams},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={76 1 Pt 2},
  pages={016708}
}
The Landau-Lifshitz Navier-Stokes (LLNS) equations incorporate thermal fluctuations into macroscopic hydrodynamics by using stochastic fluxes. This paper examines explicit Eulerian discretizations of the full LLNS equations. Several computational fluid dynamics approaches are considered (including MacCormack's two-step Lax-Wendroff scheme and the piecewise parabolic method) and are found to give good results for the variance of momentum fluctuations. However, neither of these schemes accurately… CONTINUE READING
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Science 289

  • M. Moseler, U. Landman
  • 1165
  • 2000
Highly Influential
4 Excerpts

Math

  • S. Gottleib, C. Shu
  • Comput. 67, 73
  • 1998
Highly Influential
18 Excerpts

Physica A 192

  • H. P. Breuer, F. Petruccione
  • 569
  • 1993
Highly Influential
4 Excerpts

Class

  • E. Calzetta
  • Quantum Grav. 15, 653 (1998). 016708-11 BELL…
  • 2007
1 Excerpt

Hydrodynamic Fluc­ tuations in Fluids and Fluid Mixtures (Elsevier

  • J. M. Ortiz de Zarate, J. V. Sengers
  • 2006
1 Excerpt

Comput

  • J. Qiu, C. Shu, SIAM J. Sci
  • (USA) 26, 907
  • 2005

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