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A numerical technique for three‐dimensional compressible boundary layers
Author(s) -
Wadia Aspi Rustom
Publication year - 1985
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.1650050207
Subject(s) - mathematics , compressibility , boundary value problem , boundary (topology) , shooting method , domain (mathematical analysis) , compressible flow , mathematical analysis , range (aeronautics) , similarity (geometry) , geometry , mechanics , computer science , physics , materials science , image (mathematics) , artificial intelligence , composite material
The non‐linear two‐point boundary value problem for three‐dimensional compressible boundary layers is solved through the application of a boundary value technique for a range of parameters characterizing the nature of stagnation point flows. The analytical boundary conditions, at infinity, are applied at the edge of the computational mesh with iterations on the size of the domain. The solutions obtained show excellent agreement with the established similarity solutions for three‐dimensional flows. The present method has the potential advantage of yielding the wall values of f ″ w , g ″ w and θ′ w as a part of the solution, contrary to the previously used ‘shooting’ methods. The algorithm is computationally simple and numerically stable and extremely suitable for engineering design applications.