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On the natural stabilization of convection diffusion problems using LPIM meshless method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 8، شماره 2، اسفند 2017، صفحه 9-22 اصل مقاله (1.54 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2016.466 | ||
| نویسندگان | ||
| Ali Arefmanesh1؛ Mahmoud Abbaszadeh* 2 | ||
| 1Department of Mechanical Engineering, University of Kashan, Kashan, Iran | ||
| 2School of Engineering, University of Warwick, Coventry, United Kingdom | ||
| تاریخ دریافت: 12 آذر 1394، تاریخ بازنگری: 19 خرداد 1395، تاریخ پذیرش: 24 مرداد 1395 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| convection-diffusion problems؛ LPIM meshless method؛ natural stabilization؛ $p$-Version finite element method | ||
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