On the natural stabilization of convection diffusion problems using LPIM meshless method
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-8-2_002
تاریخ نمایه سازی: 11 آذر 1401
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.
Keywords:
convection-diffusion problems , LPIM meshless method , natural stabilization , p-Version finite element method