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International Journal for Numerical Methods in Fluids
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A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

A meshless finite point method for three-dimensional analysis of compressible flow problems involving moving boundaries and adaptivity
Authors: Ortega, Enrique; Oñate Ibáñez de Navarra, Eugenio; Idelsohn Barg, Sergio Rodolfo; Flores Le Roux, Roberto Maurice;

A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

Abstract

SUMMARYA finite point method for solving compressible flow problems involving moving boundaries and adaptivity is presented. The numerical methodology is based on an upwind‐biased discretization of the Euler equations, written in arbitrary Lagrangian–Eulerian form and integrated in time by means of a dual‐time steeping technique. In order to exploit the meshless potential of the method, a domain deformation approach based on the spring network analogy is implemented, andh‐adaptivity is also employed in the computations. Typical movable boundary problems in transonic flow regime are solved to assess the performance of the proposed technique. In addition, an application to a fluid–structure interaction problem involving static aeroelasticity illustrates the capability of the method to deal with practical engineering analyses. The computational cost and multi‐core performance of the proposed technique is also discussed through the examples provided. Copyright © 2013 John Wiley & Sons, Ltd.

Keywords

Engineering, Civil, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, fluid-structure interaction, Engineering, Multidisciplinary, Mètode dels elements finits, :Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC], Aerodinàmica -- Models matemàtics, 510, adaptivity, Classificació AMS::37 Dynamical systems and ergodic theory, Aerodynamics, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, :70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics [Classificació AMS], Engineering, Ocean, Aeroelasticity, Fluid-structure interaction--Mathematical models, Engineering, Aerospace, Engineering, Biomedical, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, compressible flow, mesh-free, Aeroelasticitat, Anàlisi numèrica, Compressible flow, Meshfree methods (Numerical analysis), :Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Aeronàutica i espai::Aerodinàmica::Aeroelasticitat, Lagrange equations, Elements finits, Mètode dels -- Estructures, Computer Science, Software Engineering, Mesh-free, Engineering, Marine, 620, Engineering, Manufacturing, Engineering, Mechanical, Lagrange, Equacions de, Adaptivity, :Aeronàutica i espai::Aerodinàmica::Aeroelasticitat [Àrees temàtiques de la UPC], arbitrary Lagrangian-Eulerian (ALE), :37 Dynamical systems and ergodic theory [Classificació AMS], Arbitrary Lagrangian–Eulerian (ALE), Engineering, Industrial, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Compressible fluids and gas dynamics, aerodynamics, Fluid–structure interaction, Numerical analysis

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selected citations
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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