Kinetic Projection and Stability in Lattice-Boltzmann Schemes

Paulo C. Philippi; Keijo K. Mattila; Luiz A. Hegele Júnior; Diogo Nardelli Siebert

doi:10.20906/CPS/CILAMCE2015-0398

Kinetic Projection and Stability in Lattice-Boltzmann Schemes

Paulo C. Philippi, Keijo K. Mattila, Luiz A. Hegele Júnior , Diogo Nardelli Siebert

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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Abstract

The lattice-Boltzmann equation is a low-order approximation of the Boltzmann
equation (BE) and its solution involve errors affected by high-order moments that cannot be controlled or retrieved with this approximation. These 'ghost' moments contribute to instability issues. The regularization method is discussed in this paper in connection with kinetic projections and we show that solutions of the LB equations, with improved stability ranges, may be found, in a systematic way, based on increasingly order projections of the continuous Boltzmann equation (BE) onto subspaces generated by finite set of Hermite polynomials.

Original language	English
Title of host publication	Proceedings of the CILAMCE'2015
Subtitle of host publication	Rio de Janeiro, RJ, Brazil, 22-25th November
Editors	N.A. Dumont
Publisher	Brazilian Association of Computational Methods in Engineering
Pages	1-18
Number of pages	18
DOIs	https://doi.org/10.20906/CPS/CILAMCE2015-0398
Publication status	Published - 2015
Publication type	A4 Article in conference proceedings

Publication series

Name	CILAMCE Proceedings
Publisher	Brazilian Association of Computational Methods in Engineering
ISSN (Electronic)	2178-4949

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Philippi, P. C., Mattila, K. K., Hegele Júnior , L. A., & Siebert, D. N. (2015). Kinetic Projection and Stability in Lattice-Boltzmann Schemes. In N. A. Dumont (Ed.), Proceedings of the CILAMCE'2015: Rio de Janeiro, RJ, Brazil, 22-25th November (pp. 1-18). (CILAMCE Proceedings). Brazilian Association of Computational Methods in Engineering. https://doi.org/10.20906/CPS/CILAMCE2015-0398

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title = "Kinetic Projection and Stability in Lattice-Boltzmann Schemes",

abstract = "The lattice-Boltzmann equation is a low-order approximation of the Boltzmannequation (BE) and its solution involve errors affected by high-order moments that cannot be controlled or retrieved with this approximation. These 'ghost' moments contribute to instability issues. The regularization method is discussed in this paper in connection with kinetic projections and we show that solutions of the LB equations, with improved stability ranges, may be found, in a systematic way, based on increasingly order projections of the continuous Boltzmann equation (BE) onto subspaces generated by finite set of Hermite polynomials.",

author = "Philippi, \{Paulo C.\} and Mattila, \{Keijo K.\} and \{Hegele J{\'u}nior\}, \{Luiz A.\} and Siebert, \{Diogo Nardelli\}",

year = "2015",

doi = "10.20906/CPS/CILAMCE2015-0398",

language = "English",

series = "CILAMCE Proceedings",

publisher = "Brazilian Association of Computational Methods in Engineering",

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}

Kinetic Projection and Stability in Lattice-Boltzmann Schemes. / Philippi, Paulo C.; Mattila, Keijo K.; Hegele Júnior , Luiz A. et al.
Proceedings of the CILAMCE'2015: Rio de Janeiro, RJ, Brazil, 22-25th November. ed. / N.A. Dumont. Brazilian Association of Computational Methods in Engineering, 2015. p. 1-18 (CILAMCE Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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AB - The lattice-Boltzmann equation is a low-order approximation of the Boltzmannequation (BE) and its solution involve errors affected by high-order moments that cannot be controlled or retrieved with this approximation. These 'ghost' moments contribute to instability issues. The regularization method is discussed in this paper in connection with kinetic projections and we show that solutions of the LB equations, with improved stability ranges, may be found, in a systematic way, based on increasingly order projections of the continuous Boltzmann equation (BE) onto subspaces generated by finite set of Hermite polynomials.

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M3 - Conference contribution

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BT - Proceedings of the CILAMCE'2015

A2 - Dumont, N.A.

PB - Brazilian Association of Computational Methods in Engineering

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Kinetic Projection and Stability in Lattice-Boltzmann Schemes

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