HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS

doi:10.1090/mcom/3507

CSpace

	HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS
	Thi-Thao-Phuong Hoang 1; Ju, Lili 2; Leng, Wei 3; Wang, Zhu 2
	2020-07-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	89 期号:324 页码:1807-1842
摘要	In this paper we present and analyze a general framework for constructing high order explicit local time stepping (LTS) methods for hyperbolic conservation laws. In particular, we consider the model problem discretized by Runge-Kutta discontinuous Galerkin (RK-DG) methods and design LTS algorithms based on the strong stability preserving Runge-Kutta (SSP-RK) schemes, that allow spatially variable time step sizes to be used for time integration in different regions of the computational domain. The proposed algorithms are of predictor-corrector-type, in which the interface information along the time direction is first predicted based on the SSP-RK approximations and Taylor expansions, and then the fluxes over the region of the interface are corrected to conserve mass exactly at each time step. Following the proposed framework, we detail the corresponding LTS schemes with accuracy up to the fourth order, and prove their conservation property and nonlinear stability for the scalar conservation laws. Numerical experiments are also presented to demonstrate excellent performance of the proposed LTS algorithms.
DOI	10.1090/mcom/3507
收录类别	SCI
语种	英语
资助项目	U.S. Department of Energy[DESC0016540] ; U.S. Department of Energy[DE-SC0020270] ; U.S. National Science Foundation[DMS-1818438] ; U.S. National Science Foundation[DMS-1913073]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000525355900009
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51098
专题	中国科学院数学与系统科学研究院
通讯作者	Thi-Thao-Phuong Hoang
作者单位	1.Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA 2.Univ South Carolina, Dept Math, Columbia, SC 29208 USA 3.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Thi-Thao-Phuong Hoang,Ju, Lili,Leng, Wei,et al. HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS[J]. MATHEMATICS OF COMPUTATION,2020,89(324):1807-1842.
APA	Thi-Thao-Phuong Hoang,Ju, Lili,Leng, Wei,&Wang, Zhu.(2020).HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS.MATHEMATICS OF COMPUTATION,89(324),1807-1842.
MLA	Thi-Thao-Phuong Hoang,et al."HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS".MATHEMATICS OF COMPUTATION 89.324(2020):1807-1842.