Application of the finite point method to high-Reynolds number compressible flow problems

• Published in: International journal for numerical methods in fluids Vol. 74; no. 10; pp. 732 - 748
• Main Authors: Ortega, Enrique, Oñate, Eugenio, Idelsohn, Sergio, Flores, Roberto
• Format: Journal Article Publication
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 10.04.2014; Wiley Subscription Services, Inc
• Subjects: aerodynamics; Algebra; Anàlisi numèrica; Boundary layers; Clouds; collocation; compressible flow; Discretization; Elements finits, Mètode dels; Equacions de Navier-Stokes; Finite element method; Matemàtiques i estadística; Mathematical analysis; Mathematical models; meshfree; Meshless methods; Mètodes en elements finits; Navier-Stokes equations; particle method; RANS: Reynolds Averaged Navier-Stokes; Reynolds number; Àrees temàtiques de la UPC
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.3871

SUMMARYIn 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. The Finite Point Method (FPM) is applied to solve compressible high‐Reynolds flows focusing on the automation of the meshless discretization of viscous layers and the construction of a robust numerical approximation in the resultant stretched clouds of points. An upwind‐biased scheme is used to solve the averaged Navier‐Stokes equations with an algebraic turbulence model. The numerical applications involve attached boundary layer flows. The results obtained are satisfactory and indicative of the possibilities of the proposed FPM technique.