Finite element solution of flows through cascades of profiles in a layer of variable thickness

Miloslav Feistauer; Jiří Felcman; Zdeněk Vlášek

Aplikace matematiky (1986)

  • Volume: 31, Issue: 4, page 309-339
  • ISSN: 0862-7940

Abstract

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The paper is devoted to the numerical modelling of a subsonic irrotational nonviscous flow past a cascade of profiles in a variable thickness fluid layer. It leads to a nonlinear two-dimensional elliptic problem with nonstandard nonhomogeneous boundary conditions. The problem is discretized by the finite element method. Both theoretical and practical questions of the finite element implementation are studied; convergence of the method, numerical integration, iterative methods for the solution of the discrete problem and the algorithmization of the finite element solution. Some numerical results obtained by a multi-purpose program written by authors are presented.

How to cite

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Feistauer, Miloslav, Felcman, Jiří, and Vlášek, Zdeněk. "Finite element solution of flows through cascades of profiles in a layer of variable thickness." Aplikace matematiky 31.4 (1986): 309-339. <http://eudml.org/doc/15457>.

@article{Feistauer1986,
abstract = {The paper is devoted to the numerical modelling of a subsonic irrotational nonviscous flow past a cascade of profiles in a variable thickness fluid layer. It leads to a nonlinear two-dimensional elliptic problem with nonstandard nonhomogeneous boundary conditions. The problem is discretized by the finite element method. Both theoretical and practical questions of the finite element implementation are studied; convergence of the method, numerical integration, iterative methods for the solution of the discrete problem and the algorithmization of the finite element solution. Some numerical results obtained by a multi-purpose program written by authors are presented.},
author = {Feistauer, Miloslav, Felcman, Jiří, Vlášek, Zdeněk},
journal = {Aplikace matematiky},
keywords = {numerical modelling; subsonic irrotational inviscid flow; cascade of profiles; variable thickness fluid layer; nonlinear two-dimensional elliptic problem; nonhomogeneous boundary conditions; finite element method; convergence; algorithmizations; stream function; numerical modelling; subsonic irrotational inviscid flow; cascade of profiles; variable thickness fluid layer; nonlinear two-dimensional elliptic problem; nonhomogeneous boundary conditions; finite element method; convergence; algorithmizations},
language = {eng},
number = {4},
pages = {309-339},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite element solution of flows through cascades of profiles in a layer of variable thickness},
url = {http://eudml.org/doc/15457},
volume = {31},
year = {1986},
}

TY - JOUR
AU - Feistauer, Miloslav
AU - Felcman, Jiří
AU - Vlášek, Zdeněk
TI - Finite element solution of flows through cascades of profiles in a layer of variable thickness
JO - Aplikace matematiky
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 4
SP - 309
EP - 339
AB - The paper is devoted to the numerical modelling of a subsonic irrotational nonviscous flow past a cascade of profiles in a variable thickness fluid layer. It leads to a nonlinear two-dimensional elliptic problem with nonstandard nonhomogeneous boundary conditions. The problem is discretized by the finite element method. Both theoretical and practical questions of the finite element implementation are studied; convergence of the method, numerical integration, iterative methods for the solution of the discrete problem and the algorithmization of the finite element solution. Some numerical results obtained by a multi-purpose program written by authors are presented.
LA - eng
KW - numerical modelling; subsonic irrotational inviscid flow; cascade of profiles; variable thickness fluid layer; nonlinear two-dimensional elliptic problem; nonhomogeneous boundary conditions; finite element method; convergence; algorithmizations; stream function; numerical modelling; subsonic irrotational inviscid flow; cascade of profiles; variable thickness fluid layer; nonlinear two-dimensional elliptic problem; nonhomogeneous boundary conditions; finite element method; convergence; algorithmizations
UR - http://eudml.org/doc/15457
ER -

References

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