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Comparative accuracy and performance assessment of the finite point method in compressible flow problems
Ortega, Enrique; Oñate Ibáñez de Navarra, Eugenio; Idelsohn Barg, Sergio Rodolfo; Flores Le Roux, Roberto Maurice
Escola Tècnica Superior d'Enginyeries Industrial i Aeronàutica de Terrassa; Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus; Universitat Politècnica de Catalunya. L'AIRE - Laboratori Aeronàutic i Industrial de Recerca i Estudis
A comparative assessment of the Finite Point Method (FPM) is presented. Using a wing-fuselage configuration under transonic inviscid flow conditions as reference test case, the performance of the FPM flow solver is compared with an equivalent edge-based Finite Element (FEM) implementation. Efficiency issues have discouraged practical application of meshless methods in the past. Thus, a simplification of the basic FPM technique is proposed in order to reduce the performance gap with respect to classical grid-based algorithms. A comparative evaluation of the accuracy, computational cost and parallel performance of the meshless implementation is carried out with the objective to assess the level of maturity of the technique and identify improvements still required to tackle practical applications. The results obtained show accuracy and performance of the core algorithm comparable to a conventional FEM implementation, thus removing a major obstacle for further developments of the FPM.
Peer Reviewed
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Meshfree methods (Numerical analysis)
-Finite element method
-Meshless
-Finite point method
-Computational cost
-Accuracy
-Compressible flow
-FEM comparison
-Elements finits, Mètode dels
-Dinàmica de fluids computacional
-Classificació AMS::65 Numerical analysis
Article - Versió publicada
Article
Elsevier
         

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