کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470380 698462 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite volume Hermite WENO schemes for solving the Hamilton–Jacobi equations II: Unstructured meshes
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Finite volume Hermite WENO schemes for solving the Hamilton–Jacobi equations II: Unstructured meshes
چکیده انگلیسی

In Zhu (2014) [1], we presented a new type of the finite volume Hermite weighted essentially non-oscillatory (HWENO) schemes for solving the Hamilton–Jacobi equations on structured meshes, the key idea of the reconstruction in the HWENO schemes comes from the original WENO schemes, however the cell averages of the function and its two derivative values are together evolved via time approaching and used in the reconstructions, while only the function is evolved and used in the original WENO schemes which are nodal based approximations on finite difference framework. In this paper, we extend the method to solve the Hamilton–Jacobi equations on unstructured meshes. The major advantages of the new HWENO schemes on unstructured meshes are their compactness in the spatial field, purely on the finite volume framework and only one set of small stencils is needed for different types of the polynomial reconstruction. Extensive numerical tests are performed to illustrate the capability and high order of accuracy of these methodologies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 10, November 2014, Pages 1137–1150
نویسندگان
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