کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154665 1462584 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
چکیده انگلیسی
This paper proposes a benchmark problem for the two- and three-dimensional Cahn-Hilliard (CH) equations, which describe the process of phase separation. The CH equation is highly nonlinear and an analytical solution does not exist except trivial solutions. Therefore, we have to approximate the CH equation numerically. To test the accuracy of a numerical scheme, we have to resort to convergence tests, which consist of consecutive relative errors or a very fine solution from the numerical scheme. For a fair convergence test, we provide benchmark problems which are of the shrinking annulus and spherical shell type. We show numerical results by using the explicit Euler's scheme with a very fine time step size and also present a comparison test with Eyre's convex splitting schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 61, August 2018, Pages 149-159
نویسندگان
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