کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643174 1632057 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A TVD-type method for 2D scalar Hamilton–Jacobi equations on unstructured meshes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A TVD-type method for 2D scalar Hamilton–Jacobi equations on unstructured meshes
چکیده انگلیسی

In this paper, a TVD-type difference scheme which satisfies maximum principle is developed for 2D scalar Hamilton–Jacobi equations on unstructured triangular meshes. The main ideas are node-based approximations and derivative-limited reconstruction with quadratic interpolation polynomial. The solution's slope satisfies maximum principle. Numerical experiments are performed to demonstrate high-order accuracy in smooth fields and good resolution of derivative singularities. The new method is simpler than WENO.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 195, Issues 1–2, 15 October 2006, Pages 182–191
نویسندگان
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