| Title:
|
Finite element solution of flows through cascades of profiles in a layer of variable thickness (English) |
| Author:
|
Feistauer, Miloslav |
| Author:
|
Felcman, Jiří |
| Author:
|
Vlášek, Zdeněk |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
309-339 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
numerical modelling |
| Keyword:
|
subsonic irrotational inviscid flow |
| Keyword:
|
cascade of profiles |
| Keyword:
|
variable thickness fluid layer |
| Keyword:
|
nonlinear two-dimensional elliptic problem |
| Keyword:
|
nonhomogeneous boundary conditions |
| Keyword:
|
finite element method |
| Keyword:
|
convergence |
| Keyword:
|
algorithmizations |
| Keyword:
|
stream function |
| MSC:
|
65N30 |
| MSC:
|
76-08 |
| MSC:
|
76B10 |
| MSC:
|
76M99 |
| MSC:
|
76N10 |
| idZBL:
|
Zbl 0641.76067 |
| idMR:
|
MR0854324 |
| DOI:
|
10.21136/AM.1986.104209 |
| . |
| Date available:
|
2008-05-20T18:30:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104209 |
| . |
| Reference:
|
[1] I. Babuška M. Práger E. Vitásek: Numerical Processes in Differential Equations.SNTL Praha and John Wiley & Sons, 1966. MR 0223101 |
| Reference:
|
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| Reference:
|
[3] M. Feistauer: Mathematical study of rotational incompressible non-viscous flows through multiply connected domains.Apl. mat. 26 (1981), No. 5, 345-364. Zbl 0486.76025, MR 0631753 |
| Reference:
|
[4] M. Feistauer: Numerical solution of non-viscous axially symmetric channel flows.In: Proc. of the conf. "Mathematical Methods in Fluids Mechanics", Oberwolfach 1981, Methoden und Verfahren der Math. Physik, Band 24, P. Lang, Frankfurt am Main, 1982. |
| Reference:
|
[5] M. Feistauer: On irrotational flows through cascades of profiles in a layer of variable thickness.Apl. mat. 29 (1984), No. 6, 423-458. Zbl 0598.76061, MR 0767495 |
| Reference:
|
[6] M. Feistauer: Finite element solution of non-viscous flows in cascades of blades.ZAMM 65 (1985) 4, T 191 - T 194. Zbl 0605.76068 |
| Reference:
|
[7] M. Feistauer: Mathematical and numerical study of flows through cascades of profiles.In: Proc. of "International Conference on Numerical Methods and Applications" held in Sofia, August 27-September 2, 1984, 271-278. |
| Reference:
|
[8] M. Feistauer: On the finite element approximation of a cascade flow problem.(to appear in Numer. Math.). Zbl 0646.76085, MR 0884294 |
| Reference:
|
[9] M. Feistauer: Finite element solution of flow problems with trailing conditions.(to appear). Zbl 0766.76049 |
| Reference:
|
[10] M. Feistauer J. Felcman: Numerical solution of an incompressible flow past a cascade of profiles in a layer of variable thickness by the finite element method.In: Proc. of the conf. "HYDROTURBO 1985" held in Olomouc, September 11-13, 1985. |
| Reference:
|
[11] M. Feistauer J. Felcman Z. Vlášek: Finite element solution of flows in elements of blade machines.In: Proc. of "Eight Int. Conf. on Steam Turbines with Large Output" held in Karlovy Vary, October 30-November 1, 1984. |
| Reference:
|
[12] M. Feistauer J. Felcman Z. Vlášek: Calculation of irrotational flows through cascades of blades in a layer of variable thickness.Research report, ŠKODA Plzeň, 1983 (in Czech). |
| Reference:
|
[13] M. Feistauer Z. Vlášek: Irrotational steady subsonic flow of an ideal fluid - Theory and finite element solution.Research report, ŠKODA Plzeň, 1981 (in Czech). |
| Reference:
|
[14] J. Felcman: Flow past a rotating cascade of blades in a layer of variable thickness.Research report, ČKD Praha, 1984 (in Czech). |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| . |
