### 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 language | English |
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Title of host publication | 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009 |

Pages | 111-122 |

Number of pages | 12 |

Publication status | Published - 2009 |

Event | 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009 - Budapest, Hungary Duration: Nov 12 2009 → Nov 14 2009 |

### Other

Other | 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009 |
---|---|

Country | Hungary |

City | Budapest |

Period | 11/12/09 → 11/14/09 |

### Fingerprint

### 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

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - The lagrange interpolation formula for analyzing fluid movement in network profiles

AU - Kovács, Adalbert

AU - Kovács, L.

PY - 2009

Y1 - 2009

N2 - 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).

AB - 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).

KW - Boundary element method

KW - Complex velocity

KW - Fredholme integral equation

KW - Hydrodynamic networks

KW - Lagrange interpolation

KW - Velocity potential

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M3 - Conference contribution

SP - 111

EP - 122

BT - 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2009

ER -