Skip to main content
SpringerLink
Log in

On Numerical Schemes for a Hierarchy of Kinetic Equations

  • Conference paper
Book cover Numerical Mathematics and Advanced Applications

  • 1409 Accesses

Abstract

We investigate the hierarchical structure of hexagonal kinetic models as a tool for the numerical simulation of the Boltzmann equation. This is of use for a number of applications, e.g. in the context of domain decomposition and of multigrid techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Andallah, L.S.: On the generation of a hexagonal collision model for the Boltzmann equation. Comp. Meth. in Appl. Math., 4, 271–289 (2004)

    MATH  MathSciNet  Google Scholar 

  2. Andallah, L.S.: A hexagonal collision model for the numerical solution of the Boltzmann equation. PhD Thesis, Technical University Ilmenau, Germany (2004)

    Google Scholar 

  3. Andallah, L.S., Babovsky, H.: A discrete Boltzmann equation based on hexagons. Math. Models Methods Appl. Sci., 13, 1537–1563 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Babovsky, H.: Kinetic boundary layers: on the adequate discretization of the Boltzmann collision operator. J. Comp. Appl. Math., 110, 225–239 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  5. Babovsky, H.: Hexagonal kinetic models and the numerical simulation of kinetic boundary layers. In: G. Warnecke (ed) Analysis and Numerics for Conservation Laws. Springer, Berlin Heidelberg New York (2005)

    Google Scholar 

  6. LeVeque, R.J.: Numerical Methods for Conservation Laws. Birkhäuser, Basel (1990)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ilmenau Technical University, D-98693, Ilmenau, Germany

    Hans Babovsky

  2. Departement of Mathematics, Jahangirnagar University, Savar, 1342, Dhaka, Bangladesh

    Laek S. Andallah

Authors
  1. Hans Babovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Laek S. Andallah
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Departamento de Matemática Aplicada Facultade de Matemáticas, Universidade de Santiago de Compostela, 15706, Santiago de Compostela, Spain

    Alfredo Bermúdez de Castro , Dolores Gómez  & Peregrina Quintela ,  & 

  2. Departamento de Matématica Aplicada, Escola Politécnica Superior, 27002, Lugo, Spain

    Pilar Salgado

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Babovsky, H., Andallah, L.S. (2006). On Numerical Schemes for a Hierarchy of Kinetic Equations. In: de Castro, A.B., Gómez, D., Quintela, P., Salgado, P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_14

Download citation

Publish with us

Policies and ethics

Search

Navigation