A re-initialization free numerical approach based on space-time formulation for the level-set evolution simulation
محل انتشار: پنجمین کنفرانس ملی مهندسی مکانیک کاربردی
سال انتشار: 1401
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 144
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شناسه ملی سند علمی:
NCAME05_043
تاریخ نمایه سازی: 21 آذر 1401
چکیده مقاله:
Interface tracking is a challenging issue in numerical simulation of many practical mechanical problems. In this paper, a technique based on space-time formulation in the context of an integral-free meshfree method in an Eulerian approach is presented for interface tracking using the level-set method without needing for re-initialization. We use radial basis functions for function approximation in space-time domain. The method does not need to march in time to obtain interface development. It obtains instantly at all defined times by solving a sparse and symmetric linear system of equations. The method does not depend on tuning parameters for interface tracking which makes it a reliable and robust tool. A vectorized formulation of the proposed approach is illustrated in this paper. One benchmark problems is solved to show the accuracy of the presented technique.
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نویسندگان
Mohsen Lashkarbolok
Department of Civil Engineering, Faculty of Engineering, Golestan University, Aliabad Katoul, Iran