skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A lattice Boltzmann equation method without parasitic currents and its application in droplet coalescence.

Abstract

No abstract prepared.

Authors:
; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
937397
Report Number(s):
ANL/MCS/CP-118638
TRN: US200819%%26
DOE Contract Number:
DE-AC02-06CH11357
Resource Type:
Conference
Resource Relation:
Conference: 2nd Joint U.S.-European Fluids Engineering Summer Meeting; Jul. 17, 2006 - Jul. 20, 2006; Miami, FL
Country of Publication:
United States
Language:
ENGLISH
Subject:
42 ENGINEERING; BOLTZMANN EQUATION; COALESCENCE; DROPLETS

Citation Formats

Lee, T., Fischer, P. F., Mathematics and Computer Science, and City College of the City Univ. of New York. A lattice Boltzmann equation method without parasitic currents and its application in droplet coalescence.. United States: N. p., 2006. Web.
Lee, T., Fischer, P. F., Mathematics and Computer Science, & City College of the City Univ. of New York. A lattice Boltzmann equation method without parasitic currents and its application in droplet coalescence.. United States.
Lee, T., Fischer, P. F., Mathematics and Computer Science, and City College of the City Univ. of New York. Sun . "A lattice Boltzmann equation method without parasitic currents and its application in droplet coalescence.". United States. doi:.
@article{osti_937397,
title = {A lattice Boltzmann equation method without parasitic currents and its application in droplet coalescence.},
author = {Lee, T. and Fischer, P. F. and Mathematics and Computer Science and City College of the City Univ. of New York},
abstractNote = {No abstract prepared.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:
  • No abstract prepared.
  • In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space are discussed in detail. A general procedure to derive the lattice Boltzmann model from the continuous Boltzmann equation is demonstrated explicitly. The lattice Boltzmann models derived include the two-dimensional 6-bit, 7-bit, and 9-bit, and three-dimensional 27-bit models. {copyright} {ital 1997} {ital The American Physical Society}
  • Considering that the mass of an electron is much smaller than that of a heavy particle (ion or molecule) and that the number density of electrons is much smaller than that of heavy particles, the collision term of the Boltzmann equation for electrons is simplified. A method of analyzing the equation is devised by considering the subsidiary equations of the original equation. As an example, a plane oscillation of electrons in a warm plasma is studied. (auth)
  • The lattice Boltzmann method (LBM) based on single-relaxation-time (SRT) or multiple-relaxation-time (MRT) collision operators is widely used in simulating flow and transport phenomena. The LBM based on two-relaxation-time (TRT) collision operators possesses strengths from the SRT and MRT LBMs, such as its simple implementation and good numerical stability, although tedious mathematical derivations and presentations of the TRT LBM hinder its application to a broad range of flow and transport phenomena. This paper describes the TRT LBM clearly and provides a pseudocode for easy implementation. Various transport phenomena were simulated using the TRT LBM to illustrate its applications in subsurface environments.more » These phenomena include advection-diffusion in uniform flow, Taylor dispersion in a pipe, solute transport in a packed column, reactive transport in uniform flow, and bacterial chemotaxis in porous media. Finally, the TRT LBM demonstrated good numerical performance in terms of accuracy and stability in predicting these transport phenomena. Therefore, the TRT LBM is a powerful tool to simulate various geophysical and biogeochemical processes in subsurface environments.« less