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Zbl 0646.76085
Feistauer, Miloslav
On the finite element approximation of a cascade flow problem.
(English)
[J] Numer. Math. 50, 655-684 (1987). ISSN 0029-599X; ISSN 0945-3245/e

Summary: The finite element analysis of a cascade flow problem with a given velocity circulation round profiles is presented. The nonlinear problem for the stream function with nonstandard boundary conditions is discretized by conforming linear triangular elements. We deal with the properties of the discrete problem and study the convergence of the method both for polygonal and nonpolygonal domains, including the effect of numerical integration.
MSC 2000:
*76N10 Compressible fluids, general
76G25 General aerodynamics and subsonic flows
76M99 Basic methods in fluid mechanics
65N30 Finite numerical methods (BVP of PDE)

Keywords: finite element analysis; cascade flow problem; velocity circulation; nonstandard boundary conditions; conforming linear triangular elements; discrete problem; convergence; nonpolygonal domains; numerical integration

Cited in: Zbl 0712.65097

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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