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Title of article :
On the natural stabilization of convection diffusion problems using LPIM meshless method
Author/Authors :
Arefmanesh, Ali Department of Mechanical Engineering - University of Kashan, Kashan , Abbaszadeh, Mahmoud School of Engineering - University of Warwick - Coventry, United Kingdom
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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 articial numerical oscillations occurred in very large Peclet numbers.
Keywords :
LPIM meshless method , natural stabilization , p-Version finite element method
Journal title :
Astroparticle Physics
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