Error Analysis for the Interpolation-Supplemented Lattice-Boltzmann Equation Scheme

Xiaoyi He ()
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Xiaoyi He: Complex System, Group T-13, MS B213, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 04, 737-745

Abstract: The numerical error of the interpolation-supplemented lattice-Boltzmann equation (ISLBE) scheme is theoretically analyzed. The ISLBE is proved to recover the Navier–Stokes equation as long as a second order interpolation scheme is used and the flow domain is appropriately discretized. Using a linear interpolation scheme will inevitably generate the numerical diffusivity and viscosity, making the ISLBE scheme unable to simulate the Navier–Stokes equation correctly. The analysis is consistent with previous numerical experiments.

Keywords: Lattice-Boltzmann Equation; Non-uniform Grid; Numerical Error (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S012918319700062X

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