A symmetrical WENO-Z scheme for solving Hamilton–Jacobi equations

Rooholah Abedian ()
Additional contact information
Rooholah Abedian: School of Engineering Science, College of Engineering, University of Tehran, Iran

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 03, 1-24

Abstract: In this paper, a new WENO procedure is proposed to approximate the viscosity solution of the Hamilton–Jacobi (HJ) equations. In the one-dimensional (1D) case, an optimum polynomial on a six-point stencil is obtained. This optimum polynomial is fifth-order accurate in regions of smoothness. Then, this optimum polynomial is considered as a symmetric and convex combination of four polynomials with ideal weights. Following the methodology of the classic WENO-Z procedure [Borges et al., J. Comput. Phys. 227, 3191 (2008)], the new nonoscillatory weights are calculated with the ideal weights. Several numerical experiments in 1D, 2D and 3D are performed to illustrate the capability of the scheme.

Keywords: Hamilton–Jacobi equations; symmetrical WENO; WENO-Z scheme; computational techniques (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.worldscientific.com/doi/abs/10.1142/S0129183120500394
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:31:y:2020:i:03:n:s0129183120500394

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183120500394

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().