Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment
Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment
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DOI：
10.1007/s10915-010-9345-6
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发表时间：
2010-10
影响因子：
2.5
通讯作者：
T. Xiong;Mengping Zhang;Yong-Tao Zhang;Chi-Wang Shu
中科院分区：
文献类型：
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作者：
T. Xiong;Mengping Zhang;Yong-Tao Zhang;Chi-Wang Shu
本文设计了一种五阶加权基本无振荡（韦诺）快速扫描方法，推广了J. Sci. Comput. 29，25-56（2006），并利用J. Comput. Math.26，1-11（2008），其允许使用笛卡尔网格而不管域边界形状。所得到的方法进行了测试的各种问题，以证明其良好的性能和CPU的时间效率相比，低阶快速扫描方法。
A fifth order weighted essentially non-oscillatory (WENO) fast sweeping method is designed in this paper, extending the result of the third order WENO fast sweeping method in J. Sci. Comput. 29, 25–56 (2006) and utilizing the two approaches of accurate inflow boundary condition treatment in J. Comput. Math. 26, 1–11 (2008), which allows the usage of Cartesian meshes regardless of the domain boundary shape. The resulting method is tested on a variety of problems to demonstrate its good performance and CPU time efficiency when compared with lower order fast sweeping methods.