Publikation:

Comparison of analysis techniques for the lattice Boltzmann method

Lade...
Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2009

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Computers & Mathematics with Applications. 2009, 58(5), pp. 883-897. Available under: doi: 10.1016/j.camwa.2009.02.011

Zusammenfassung

We show that the Chapman Enskog expansion can be viewed as a special instance of a general expansion procedure which also encompasses other methods like the regular error expansion and multi-scale techniques and that any two expansions which properly describe the lattice Boltzmann solution necessarily coincide up to higher order terms. For a model problem, both the regular error expansion and the Chapman Enskog expansion are carried out. It turns out that the classical Chapman Enskog method leads to an unstable equation at super-Burnett order in a parameter regime for which the underlying lattice Boltzmann algorithm is stable. However, our approach naturally allows us to consider variants of the super-Burnett equation which do not suffer from instabilities. The article concludes with a detailed comparison of the Chapman Enskog and the regular error expansion.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Chapman Enskog expansion, Lattice Boltzmann equation, Super-Burnett equation

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690CAIAZZO, Alfonso, Michael JUNK, Martin Kilian RHEINLÄNDER, 2009. Comparison of analysis techniques for the lattice Boltzmann method. In: Computers & Mathematics with Applications. 2009, 58(5), pp. 883-897. Available under: doi: 10.1016/j.camwa.2009.02.011
BibTex
@article{Caiazzo2009Compa-823,
  year={2009},
  doi={10.1016/j.camwa.2009.02.011},
  title={Comparison of analysis techniques for the lattice Boltzmann method},
  number={5},
  volume={58},
  journal={Computers & Mathematics with Applications},
  pages={883--897},
  author={Caiazzo, Alfonso and Junk, Michael and Rheinländer, Martin Kilian}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/823">
    <dcterms:bibliographicCitation>Publ. in: Computers &amp; Mathematics with Applications 58 (2009), 5, pp. 883-897</dcterms:bibliographicCitation>
    <dc:contributor>Caiazzo, Alfonso</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:49:00Z</dcterms:available>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Caiazzo, Alfonso</dc:creator>
    <dc:creator>Junk, Michael</dc:creator>
    <dc:contributor>Rheinländer, Martin Kilian</dc:contributor>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/823"/>
    <dc:contributor>Junk, Michael</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:49:00Z</dc:date>
    <dc:creator>Rheinländer, Martin Kilian</dc:creator>
    <dcterms:abstract xml:lang="eng">We show that the Chapman Enskog expansion can be viewed as a special instance of a general expansion procedure which also encompasses other methods like the regular error expansion and multi-scale techniques and that any two expansions which properly describe the lattice Boltzmann solution necessarily coincide up to higher order terms. For a model problem, both the regular error expansion and the Chapman Enskog expansion are carried out. It turns out that the classical Chapman Enskog method leads to an unstable equation at super-Burnett order in a parameter regime for which the underlying lattice Boltzmann algorithm is stable. However, our approach naturally allows us to consider variants of the super-Burnett equation which do not suffer from instabilities. The article concludes with a detailed comparison of the Chapman Enskog and the regular error expansion.</dcterms:abstract>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:issued>2009</dcterms:issued>
    <dc:language>eng</dc:language>
    <dcterms:title>Comparison of analysis techniques for the lattice Boltzmann method</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen