Variational inequality transport model on the sphere by the active-set reduced-space algorithm

doi:10.1016/j.cpc.2020.107739

	Variational inequality transport model on the sphere by the active-set reduced-space algorithm
	Yang, Haijian 2; Yang, Chao 1,3; Huang, Jizu 4
刊名	COMPUTER PHYSICS COMMUNICATIONS
	2021-03-01
卷号	260 页码:10
关键词	Transport problem on the sphere Variational inequality Parallel computing Fully implicit scheme Active-set reduced-space method
ISSN号	0010-4655
DOI	10.1016/j.cpc.2020.107739
英文摘要	The simulation of the transport problem on the sphere is crucial in the numerical modeling of the transport of trace constituents in atmospheric models. One major issue in the numerical simulation is the ability of the solver to obtain accurate constraint-preserving solutions, i.e., ensuring the predicted solution to stay within the physical range. In this paper, we develop and study a variational inequality (VI) based optimization methodology for constructing a new transport model that naturally satisfies this restriction by removing overand under-shoots of the solution. With the use of the cubed-sphere mesh, we present an explicit-first-step, single-diagonal coefficient, diagonally implicit Runge-Kutta (ESDIRK) method with an adaptive time step control strategy for the fully implicit temporal integration of the variational inequality problem. And then the resulting nonlinear system arising at each time step is solved by using some nonlinear and linear fast solver technologies, including a variant of inexact Newton methods, i.e., the active-set reduced-space (ASRS) method, and the domain decomposition based preconditioners with a novel analytical Jacobian matrix. A set of tracer transport test cases based on the variational inequality model is presented to demonstrate the efficiency and robustness of the proposed method. (C) 2020 Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[11971006] ; National Natural Science Foundation of China[11871069] ; Beijing Natural Science Foundation, China[JQ18001] ; Hunan Province Natural Science Foundation, China[2020JJ2002] ; PetroChina Innovation Foundation, China[2019D-5007-0213]
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000608242900009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58003]
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Chao
作者单位	1.Peking Univ, Sch Math Sci, CCSE, Beijing 100871, Peoples R China 2.Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China 3.Peking Univ, Sch Math Sci, CAPT, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Haijian,Yang, Chao,Huang, Jizu. Variational inequality transport model on the sphere by the active-set reduced-space algorithm[J]. COMPUTER PHYSICS COMMUNICATIONS,2021,260:10.
APA	Yang, Haijian,Yang, Chao,&Huang, Jizu.(2021).Variational inequality transport model on the sphere by the active-set reduced-space algorithm.COMPUTER PHYSICS COMMUNICATIONS,260,10.
MLA	Yang, Haijian,et al."Variational inequality transport model on the sphere by the active-set reduced-space algorithm".COMPUTER PHYSICS COMMUNICATIONS 260(2021):10.