کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639163 1632033 2014 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A variational method for multiphase volume-preserving interface motions
ترجمه فارسی عنوان
یک روش تنوع برای حرکات رابط چندگانه حفظ حجم
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose volumes are preserved throughout time. The foundation of the method is a thresholding algorithm of the Bence–Merriman–Osher type. The original algorithm is reformulated in a vector setting, which allows for a natural inclusion of constraints, even in the multiphase case. Moreover, a new method for overcoming the inaccuracy of thresholding methods on non-adaptive grids is designed, since this inaccuracy becomes especially prominent in volume-preserving motions. Formal analysis of the method and numerical tests are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 257, February 2014, Pages 157–179
نویسندگان
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