# 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

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topFeistauer, 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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