On the natural stabilization of convection diffusion problems using LPIM meshless method
On the natural stabilization of convection diffusion problems using LPIM meshless method
By using the finite element p-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element p-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshless methods. Hence, in this study, the concept of the finite element p-Version is applied in the LPIM meshfree method. The results prove that increasing degrees of freedom limits artificial numerical oscillations occurred in very large Peclet numbers.
convection-diffusion problems, LPIM meshless method, natural stabilization, p-Version finite element method
9-22
Arefmanesh, Ali
b92b6a49-b57f-4cf8-9e0f-35a9c29df655
Abbaszadeh, Mahmoud
594e03c0-a134-4b95-b1db-35171b8f0561
2017
Arefmanesh, Ali
b92b6a49-b57f-4cf8-9e0f-35a9c29df655
Abbaszadeh, Mahmoud
594e03c0-a134-4b95-b1db-35171b8f0561
Arefmanesh, Ali and Abbaszadeh, Mahmoud
(2017)
On the natural stabilization of convection diffusion problems using LPIM meshless method.
International Journal of Nonlinear Analysis and Applications, 8 (2), .
(doi:10.22075/IJNAA.2016.466).
Abstract
By using the finite element p-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element p-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshless methods. Hence, in this study, the concept of the finite element p-Version is applied in the LPIM meshfree method. The results prove that increasing degrees of freedom limits artificial numerical oscillations occurred in very large Peclet numbers.
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Published date: 2017
Keywords:
convection-diffusion problems, LPIM meshless method, natural stabilization, p-Version finite element method
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Local EPrints ID: 445429
URI: http://eprints.soton.ac.uk/id/eprint/445429
ISSN: 2008-6822
PURE UUID: 104dc985-31f8-46ce-a3d3-fb58db6e79a5
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Date deposited: 08 Dec 2020 17:32
Last modified: 16 Mar 2024 10:09
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Author:
Ali Arefmanesh
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