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

Tutkimustuotos: Konferenssiartikkeli › Tieteellinen › vertaisarvioitu

63 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Otsikko	Proceedings of the CILAMCE'2015
Alaotsikko	Rio de Janeiro, RJ, Brazil, 22-25th November
Toimittajat	N.A. Dumont
Kustantaja	Brazilian Association of Computational Methods in Engineering
Sivut	1-18
Sivumäärä	18
DOI - pysyväislinkit	https://doi.org/10.20906/CPS/CILAMCE2015-0398
Tila	Julkaistu - 2015
OKM-julkaisutyyppi	A4 Artikkeli konferenssijulkaisussa

Julkaisusarja

Nimi	CILAMCE Proceedings
Kustantaja	Brazilian Association of Computational Methods in Engineering
ISSN (elektroninen)	2178-4949

Pääsy asiakirjaan

10.20906/CPS/CILAMCE2015-0398Lisenssi: Unspecified

ArticleFinal published version, 1,35 MBLisenssi: Unspecified

http://urn.fi/URN:NBN:fi:tty-201801161080Lisenssi: Unspecified

Siteeraa tätä

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

@inproceedings{a861601abc3144e4b5bdd6cbc4d256e7,

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",

pages = "1--18",

editor = "N.A. Dumont",

booktitle = "Proceedings of the CILAMCE'2015",

}

Philippi, PC, Mattila, KK, Hegele Júnior , LA & Siebert, DN 2015, Kinetic Projection and Stability in Lattice-Boltzmann Schemes. julkaisussa NA Dumont (Toimittaja), Proceedings of the CILAMCE'2015: Rio de Janeiro, RJ, Brazil, 22-25th November. CILAMCE Proceedings, Brazilian Association of Computational Methods in Engineering, Sivut 1-18. https://doi.org/10.20906/CPS/CILAMCE2015-0398

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. toim. / N.A. Dumont. Brazilian Association of Computational Methods in Engineering, 2015. s. 1-18 (CILAMCE Proceedings).

Tutkimustuotos: Konferenssiartikkeli › Tieteellinen › vertaisarvioitu

TY - GEN

T1 - Kinetic Projection and Stability in Lattice-Boltzmann Schemes

AU - Philippi, Paulo C.

AU - Mattila, Keijo K.

AU - Hegele Júnior , Luiz A.

AU - Siebert, Diogo Nardelli

PY - 2015

Y1 - 2015

N2 - 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.

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.

U2 - 10.20906/CPS/CILAMCE2015-0398

DO - 10.20906/CPS/CILAMCE2015-0398

M3 - Conference contribution

T3 - CILAMCE Proceedings

SP - 1

EP - 18

BT - Proceedings of the CILAMCE'2015

A2 - Dumont, N.A.

PB - Brazilian Association of Computational Methods in Engineering

ER -

Kinetic Projection and Stability in Lattice-Boltzmann Schemes

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