Geodesic
Finite element solution of flows through cascades of profiles in a layer of variable thickness
Applications of Mathematics, Tome 31 (1986) no. 4, pp. 309-339.

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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.
DOI : 10.21136/AM.1986.104209
Classification : 65N30, 76-08, 76B10, 76M99, 76N10
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 
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     author = {Feistauer, Miloslav and Felcman, Ji\v{r}{\'\i} and Vl\'a\v{s}ek, Zden\v{e}k},
     title = {Finite element solution of flows through cascades of profiles in a layer of variable thickness},
     journal = {Applications of Mathematics},
     pages = {309--339},
     publisher = {mathdoc},
     volume = {31},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104209/}
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Feistauer, Miloslav; Felcman, Jiří; Vlášek, Zdeněk. Finite element solution of flows through cascades of profiles in a layer of variable thickness. Applications of Mathematics, Tome 31 (1986) no. 4, pp. 309-339. doi : 10.21136/AM.1986.104209. http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104209/

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