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HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS

文献类型：期刊论文

作者Thi-Thao-Phuong Hoang1; Ju, Lili3; Leng, Wei2; Wang, Zhu3
刊名MATHEMATICS OF COMPUTATION
出版日期2020-07-01
卷号89期号:324页码:1807-1842
ISSN号0025-5718
DOI10.1090/mcom/3507
英文摘要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.
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
语种英语
WOS记录号WOS:000525355900009
出版者AMER MATHEMATICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51097]  
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.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
3.Univ South Carolina, Dept Math, Columbia, SC 29208 USA
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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