Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws

CORC > 厦门大学 > 数学科学－已发表论文

	Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws
	Liu, Hongxia ; Qiu, Jianxian ; Qiu JX(邱建贤)
刊名	http://dx.doi.org/10.1007/s10915-014-9905-2
	2014
关键词	Physical properties Runge Kutta methods
英文摘要	In this paper, a class of weighted essentially non-oscillatory (WENO) schemes based on Hermite polynomials, termed HWENO (Hermite WENO) schemes, for solving one and two dimensional nonlinear hyperbolic conservation law systems is presented. The construction of HWENO schemes is based on a finite difference formulation, Hermite interpolation, and nonlinearly stable Runge-Kutta methods. The idea of the reconstruction in the HWENO schemes comes from the original WENO schemes, however both the function and its first derivative values are evolved in time and used in the reconstruction, while only the function values are evolved and used in the original WENO schemes. Comparing with the original finite difference WENO schemes of Jiang and Shu (J Comput Phys 126:202-228, 1996), one major advantage of HWENO schemes is its compactness in the reconstruction. For example, five points are needed in the stencil for a fifth order WENO (WENO5) reconstruction, while only three points are needed for a fifth order HWENO (HWENO5) reconstruction. Some benchmark numerical experiments are presented to illustrate efficiency of HWENO schemes. ? 2014 Springer Science+Business Media New York.
语种	英语
出版者	Springer Science+Business Media New York.
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91420]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Liu, Hongxia,Qiu, Jianxian,Qiu JX. Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws[J]. http://dx.doi.org/10.1007/s10915-014-9905-2,2014.
APA	Liu, Hongxia,Qiu, Jianxian,&邱建贤.(2014).Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws.http://dx.doi.org/10.1007/s10915-014-9905-2.
MLA	Liu, Hongxia,et al."Finite Difference Hermite WENO Schemes for Hyperbolic Conservation Laws".http://dx.doi.org/10.1007/s10915-014-9905-2 (2014).