Stability and multiscale analysis of an advective lattice Boltzmann scheme

Rheinländer, Martin Kilian

Stability and multiscale analysis of an advective lattice Boltzmann scheme

Dateien

9w9x77105133v41v.pdfGröße: 2.12 MBDownloads: 533

Datum

2008

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Progress in Computational Fluid Dynamics (PCFD). 2008, 8(1-4), pp. 56-68. Available under: doi: 10.1504/PCFD.2008.018079

Zusammenfassung

In this paper we consider a two-population lattice Boltzmann algorithm to approximate the advection equation. First, the stability of this model algorithm is examined. The analysis is based on the analytic computation of the spectrum pertaining to the evolution matrix. After proving a necessary stability condition, the stability of the evolution matrix is shown, which is related to the CFL-condition. We use the model algorithm to demonstrate that formal stability criteria based on a multiscale expansion may fail to predict instability.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Lattice Boltzmann method, Advection, Eigenvalues, Spectrum, Stability, CFL condition, Convergence, Asymptotic analysis, Multiscale expansion

Zitieren

ISO 690

RHEINLÄNDER, Martin Kilian, 2008. Stability and multiscale analysis of an advective lattice Boltzmann scheme. In: Progress in Computational Fluid Dynamics (PCFD). 2008, 8(1-4), pp. 56-68. Available under: doi: 10.1504/PCFD.2008.018079

BibTex

@article{Rheinlander2008Stabi-607,
  year={2008},
  doi={10.1504/PCFD.2008.018079},
  title={Stability and multiscale analysis of an advective lattice Boltzmann scheme},
  number={1-4},
  volume={8},
  journal={Progress in Computational Fluid Dynamics (PCFD)},
  pages={56--68},
  author={Rheinländer, Martin Kilian}
}

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