Skip to main content
SpringerLink
Log in

Gas-kinetical simulation of vortical flows

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The two gas-kinetical simulation methods, the molecular dynamics method and the direct simulation Monte Carlo method, are used to calculate the Oseen vortex decay. The simulation solutions are compared with the analytical solution of the Navier-Stokes equation, this allowing examination of the influence of method-specific parameters on the simulation solution, particularly in relation to the conservation of angular momentum.

The results obtained with the molecular dynamics method near the limit of the continuum-mechanical regime correlate very well with the analytical solution, the angular momentum being conserved exactly, due to the nature of the method. The direct simulation Monte Carlo method can also be used to simulate the vortex decay, provided that suitable parameters are selected. In this case, however, the angular momentum is not conserved exactly, due to the statistical assumptions. One of the objectives of this work is to optimize the Monte Carlo simulation method in relation to the conservation of angular momentum.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Meiburg, E.: Direct simulation techniques for the Boltzmann equation. DFVLR-FB 85-13, 1985.

  2. Meiburg, E.: Comparison of the molecular dynamics method and the direct simulation Monte Carlo technique for flows around simple geometries. Phys. of Fluids29, 3107 to 3113 (1986).

    Google Scholar 

  3. Alder, B. J., Wainwright, T.: Molecular dynamics by electronic computers, in: Proceedings of the International Symposium on Transport Processes in Statistical Mechanics, p. 97. New York: Interscience 1958.

    Google Scholar 

  4. Bird, G. A.: Approach to translational equilibrium in a rigid sphere gas. Phys. of Fluids6, 1518–1519 (1963).

    Google Scholar 

  5. Bird, G. A.: Molecular gas dynamics. Oxford: Clarendon Press 1976.

    Google Scholar 

  6. Nanbu, K.: Theoretical basis of the direct simulation Monte Carlo method. To appear in: Proceedings of the 15th International Symposium on Rarified Gas Dynamics, Grado, Italy, June 16–20, 1986.

  7. Bird, G. A.: Direct simulation of high vorticity gas flows. Phys. of Fluids (accepted for publication 1986).

  8. Oertel, H., jr.: Institut für Theoretische Strömungsmechanik, 1982–1986. DFVLR-IB 221-86 A 10 (1986).

  9. Oseen, C. W.: Ark. f. Math. Astron. och Fys. 7 (1911); Hydromechanik S. 82, Leipzig 1927.

  10. Derzko, N. A.: Review of Monte Carlo methods in kinetic theory. UTIAS Review 35, 1972.

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Fluid Mechanics, DFVLR-AVA, D-3400, Göttingen, Federal Republic of Germany

    W. Wetzel & H. Oertel Jr.

Authors
  1. W. Wetzel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Oertel Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

With 10 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wetzel, W., Oertel, H. Gas-kinetical simulation of vortical flows. Acta Mechanica 70, 127–143 (1987). https://doi.org/10.1007/BF01174651

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174651

Keywords

Search

Navigation