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Performance evaluation of an inverse integral equation method applied to turbomachine cascades
Author(s) -
Martin D.,
Ribaut M.
Publication year - 1986
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650060807
Subject(s) - transonic , supersonic speed , turbomachinery , mathematics , boundary value problem , computation , integral equation , computational fluid dynamics , inverse problem , mathematical analysis , physics , mechanics , aerodynamics , algorithm
An improved formulation of the inverse integral equation method proposed in Reference 1 is presented which allows, in particular, a well‐posed problem to be ensured. The corresponding computation code is tested in an exhaustive manner for axial and radial compressor and turbine cascades. The agreement between the velocity field obtained with the inverse method and that resulting from a direct calculation is examined for subsonic, transonic and supersonic flows. Accuracy and reliability of the solution to the boundary condition problem are excellent for the subsonic and transonic flows. However, for the supersonic flow, the application of the method seems to be limited by the use of elementary solutions of the Laplace operator.