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Application of the finite point method to high‐Reynolds number compressible flow problems
Author(s) -
Ortega Enrique,
Oñate Eugenio,
Idelsohn Sergio,
Flores Roberto
Publication year - 2014
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.3871
Subject(s) - discretization , upwind scheme , mathematics , reynolds number , turbulence , flow (mathematics) , compressibility , compressible flow , regularized meshless method , numerical analysis , mathematical optimization , mechanics , finite element method , mathematical analysis , geometry , singular boundary method , physics , boundary element method , thermodynamics
SUMMARY In this work, the finite point method is applied to the solution of high‐Reynolds compressible viscous flows. The aim is to explore this important field of applications focusing on two main aspects: the easiness and automation of the meshless discretization of viscous layers and the construction of a robust numerical approximation in the highly stretched clouds of points resulting in such domain areas. The flow solution scheme adopts an upwind‐biased scheme to solve the averaged Navier–Stokes equations in conjunction with an algebraic turbulence model. The numerical applications presented involve different attached boundary layer flows and are intended to show the performance of the numerical technique. The results obtained are satisfactory and indicative of the possibilities to extend the present meshless technique to more complex flow problems. Copyright © 2014 John Wiley & Sons, Ltd.