Least-squares finite-element lattice Boltzmann method

Yusong Li, Eugene J. LeBoeuf, P. K. Basu

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

A numerical model of lattice Boltzman method with the use of least-squares finite element in space and Crank-Nicolson method in time was discussed. The method solved problem domain that contain complex or irregular geometric boundaries. The method provided for fourth-order accuracy in space and second order accuracy in time with unconditional stability in the time domain. The geometric flexibility and numerical stability of finite-element methodsinherent in least square finite element (LSFE)-lattice Boltzman method (LBM) suggested thatthe method was very flexible and was applied to domains possesing complex boundary geometries using of unstructured meshes with increased numerical accuracy and stability.

Original languageEnglish (US)
Article number065701
Pages (from-to)065701-1-065701-4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number6 2
DOIs
StatePublished - Jun 1 2004

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Lattice Boltzmann Method
Least Squares
Finite Element Method
Numerical Stability
Finite Element
numerical stability
eccentrics
mesh
flexibility
Crank-Nicolson Method
Unconditional Stability
Second-order Accuracy
Numerical Accuracy
Unstructured Mesh
Fourth Order
Irregular
Time Domain
geometry
Flexibility

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Least-squares finite-element lattice Boltzmann method. / Li, Yusong; LeBoeuf, Eugene J.; Basu, P. K.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 69, No. 6 2, 065701, 01.06.2004, p. 065701-1-065701-4.

Research output: Contribution to journalArticle

Li, Yusong ; LeBoeuf, Eugene J. ; Basu, P. K. / Least-squares finite-element lattice Boltzmann method. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2004 ; Vol. 69, No. 6 2. pp. 065701-1-065701-4.
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