کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625576 1631763 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A multigrid solution for the Cahn–Hilliard equation on nonuniform grids
ترجمه فارسی عنوان
یک راه حل چندشبکه برای معادله Cahn-Hilliard در شبکه های غیریکنواخت
کلمات کلیدی
معادله Cahn-Hilliard؛ شبکه غیریکنواخت؛ روش تفاضل محدود؛ روش چندشبکه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We present a nonlinear multigrid method to solve the Cahn–Hilliard (CH) equation on nonuniform grids. The CH equation was originally proposed as a mathematical model to describe phase separation phenomena after the quenching of binary alloys. The model has the characteristics of thin diffusive interfaces. To resolve the sharp interfacial transition, we need a very fine grid, which is computationally expensive. To reduce the cost, we can use a fine grid around the interfacial transition region and a relatively coarser grid in the bulk region. The CH equation is discretized by a conservative finite difference scheme in space and an unconditionally gradient stable type scheme in time. We use a conservative restriction in the nonlinear multigrid method to conserve the total mass in the coarser grid levels. Various numerical results on one-, two-, and three-dimensional spaces are presented to demonstrate the accuracy and effectiveness of the nonuniform grids for the CH equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 293, 15 January 2017, Pages 320–333
نویسندگان
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