Variational inequality transport model on the sphere by the active-set reduced-space algorithm
Yang, Haijian1; Yang, Chao2,3; Huang, Jizu4
AbstractThe 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.
KeywordTransport problem on the sphere Variational inequality Parallel computing Fully implicit scheme Active-set reduced-space method
Indexed BySCI
Funding ProjectNational 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 Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000608242900009
Citation statistics
Document Type期刊论文
Corresponding AuthorYang, Chao
Affiliation1.Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China
2.Peking Univ, Sch Math Sci, CAPT, Beijing 100871, Peoples R China
3.Peking Univ, Sch Math Sci, CCSE, Beijing 100871, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Yang, Haijian]'s Articles
[Yang, Chao]'s Articles
[Huang, Jizu]'s Articles
Baidu academic
Similar articles in Baidu academic
[Yang, Haijian]'s Articles
[Yang, Chao]'s Articles
[Huang, Jizu]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Yang, Haijian]'s Articles
[Yang, Chao]'s Articles
[Huang, Jizu]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.