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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
Flow of Newtonian Incompressible Fluids in Square Media: Isogeometric vs. Standard Finite Element Method
Mathematics, Volume 11, No. 17, Article 3702, Year 2023
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Description
This article highlights a study focused on resolving a nonlinear problem in fluid dynamics using the Navier–Stokes equations as a mathematical model. The study focuses on comparing the isogeometric analysis (IGA) B-spline method with the traditional finite element method (FEM) in a two-dimensional context. The objective is to showcase the superior performance of the IGA method in terms of result quality and computational efficiency. The study employs GEOPDE’s MATLAB code for implementing and computing the NURBS method and COMSOL Software’s FEM code for comparison. The advantages of the IGA B-spline method are highlighted, including its ability to accurately capture complex flow behavior and its reduced computation time compared to FEM. The study aims to establish the superiority of the IGA method in solving nonlinear Navier–Stokes equations, providing valuable insights for fluid dynamics and practical implications for engineering simulations. © 2023 by the authors.
Authors & Co-Authors
Scutaru, Maria Luminița Luminiţa
Romania, Brasov
Universitatea Transilvania Din Brașov
Guendaoui, Sohaib
Morocco, Fez
Faculty of Sciences and Techniques
Koubaiti, Ouadie
Morocco, Meknes
Université Moulay Ismaïl
El Ouadefli, Lahcen
Morocco, Fez
Faculty of Sciences and Techniques
El Akkad, Abdeslam
Morocco, Fez
Faculty of Sciences and Techniques
Morocco, Fez
Centre Regional Des Métiers D’education et de Formation de Fès Meknès Crmef Fès-meknès
Elkhafi, Ahmed
Morocco, Fez
Faculty of Sciences and Techniques
Vlase, Sorin
Romania, Brasov
Universitatea Transilvania Din Brașov
Statistics
Authors: 7
Affiliations: 4
Identifiers
Doi:
10.3390/math11173702
ISSN:
22277390