Skip to main content
Log in

Numerical Solution of a Flow Equation of the Ideal Liquid whose Vorticity Is Proportional to the Flow Function

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

The paper deals with the solution of an equation that describes a particular case of the flow of the ideal liquid in which the vorticity is proportional to the flow function. To solve the equation, two methods are used, namely, the finite-difference method and a method based on the Hermite formula. The results of solution of model problems by both methods are presented and compared.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. G. K. Batchelor, An Introduction to Fluid Dynamics [Russian translation], Mir, Moscow (1973).

    Google Scholar 

  2. H. Schlichting, Grenzschlicht-Theorie [Russian translation], Nauka, Moscow (1974).

    Google Scholar 

  3. L. Yu. Ferdigalov, “Application of a numerical increased-accuracy method to the solution of the Poisson equation,” Cybernetics and Systems Analysis, No. 6, 176–182 (1999).

    Google Scholar 

  4. L. Yu. Ferdigalov, “Application of a numerical increased-accuracy method to the solution of a heat transfer equation,” Cybernetics and Systems Analysis, No. 5, 166–171 (2001).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ferdigalov, L.Y. Numerical Solution of a Flow Equation of the Ideal Liquid whose Vorticity Is Proportional to the Flow Function. Cybernetics and Systems Analysis 40, 617–624 (2004). https://doi.org/10.1023/B:CASA.0000047883.93819.38

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CASA.0000047883.93819.38

Navigation