The lagrange interpolation formula for analyzing fluid movement in network profiles

Adalbert Kovács, L. Kovács

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The paper presents two calculus algorithms for the study of the compressible fluid's stationary movement through profile grids on an axial-symmetric flow-surface. The first method is based on an iterative formula developed by the authors to calculate the complex conjugate velocity (using the CVBEM algorithm). The second method solves the fundamental integral equation in real values by a priori building up the velocity potential's integral equation (BEM method). In this case it is presented the necessity of using the Lagrangian interpolation formula through five points for the calculation of the derivatives of the velocity potential. In both cases the consecutive approximations can be organized simultaneously or successive with respect to parameters ς (fluid's density) and h (thickness variation of fluid stratum).

Original languageEnglish
Title of host publication10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009
Pages111-122
Number of pages12
Publication statusPublished - 2009
Event10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009 - Budapest, Hungary
Duration: Nov 12 2009Nov 14 2009

Other

Other10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009
CountryHungary
CityBudapest
Period11/12/0911/14/09

Fingerprint

Interpolation
Integral equations
Fluids
Axial flow
Derivatives

Keywords

  • Boundary element method
  • Complex velocity
  • Fredholme integral equation
  • Hydrodynamic networks
  • Lagrange interpolation
  • Velocity potential

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Kovács, A., & Kovács, L. (2009). The lagrange interpolation formula for analyzing fluid movement in network profiles. In 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009 (pp. 111-122)

The lagrange interpolation formula for analyzing fluid movement in network profiles. / Kovács, Adalbert; Kovács, L.

10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009. 2009. p. 111-122.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kovács, A & Kovács, L 2009, The lagrange interpolation formula for analyzing fluid movement in network profiles. in 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009. pp. 111-122, 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009, Budapest, Hungary, 11/12/09.
Kovács A, Kovács L. The lagrange interpolation formula for analyzing fluid movement in network profiles. In 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009. 2009. p. 111-122
Kovács, Adalbert ; Kovács, L. / The lagrange interpolation formula for analyzing fluid movement in network profiles. 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009. 2009. pp. 111-122
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