Mapped Weno Schemes Based on a New Smoothness Indicator for Hamilton-jacobi Equations

نویسندگان

  • Youngsoo Ha
  • Chang Ho Kim
  • Yeon Ju Lee
  • Jungho Yoon
چکیده

In this paper, we introduce an improved version of mapped weighted essentially nonoscillatory (WENO) schemes for solving Hamiton-Jacobi equations. To this end, we first discuss new smoothness indicators for WENO construction. Then the new smoothness indicators are combined with the mapping function developed by Henrick et. al. [24]. The proposed scheme yields fifth-order accuracy in smooth regions and sharply resolve discontinuities in the derivatives. Numerical experiments are provided to demonstrate the performance of the proposed schemes on a variety of one-dimensional and two-dimensional problems.

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تاریخ انتشار 2012