On the natural stabilization of convection diffusion problems using LPIM meshless method

	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، 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
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
آمار تعداد مشاهده مقاله: 47,205 تعداد دریافت فایل اصل مقاله: 52,675

پیوندهای مفید

آمار