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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
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.
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