IGSNRR OpenIR
Tsallis Entropy Theory for Modeling in Water Engineering: A Review
Singh, Vijay P.1,2; Sivakumar, Bellie3,4; Cui, Huijuan5
2017-12-01
Source PublicationENTROPY
ISSN1099-4300
Volume19Issue:12Pages:25
Corresponding AuthorSingh, Vijay P.(vsingh@tamu.edu) ; Sivakumar, Bellie(s.bellie@unsw.edu.au)
AbstractWater engineering is an amalgam of engineering (e.g., hydraulics, hydrology, irrigation, ecosystems, environment, water resources) and non-engineering (e.g., social, economic, political) aspects that are needed for planning, designing and managing water systems. These aspects and the associated issues have been dealt with in the literature using different techniques that are based on different concepts and assumptions. A fundamental question that still remains is: Can we develop a unifying theory for addressing these? The second law of thermodynamics permits us to develop a theory that helps address these in a unified manner. This theory can be referred to as the entropy theory. The thermodynamic entropy theory is analogous to the Shannon entropy or the information theory. Perhaps, the most popular generalization of the Shannon entropy is the Tsallis entropy. The Tsallis entropy has been applied to a wide spectrum of problems in water engineering. This paper provides an overview of Tsallis entropy theory in water engineering. After some basic description of entropy and Tsallis entropy, a review of its applications in water engineering is presented, based on three types of problems: (1) problems requiring entropy maximization; (2) problems requiring coupling Tsallis entropy theory with another theory; and (3) problems involving physical relations.
Keywordentropy water engineering Tsallis entropy principle of maximum entropy Lagrangian function probability distribution function flux concentration relation
DOI10.3390/e19120641
WOS KeywordHYDRAULIC GEOMETRY RELATIONS ; ONE-DIMENSIONAL VELOCITY ; RIVER FLOW REGIMES ; OPEN CHANNELS ; INFORMATION-THEORY ; HYDROLOGICAL STOCHASTICS ; STATISTICAL-MECHANICS ; UNIVARIATE MODEL ; NETWORK DESIGN ; UNCERTAINTY
Indexed BySCI
Language英语
Funding ProjectAustralian Research Council (ARC)[FT110100328] ; Chinese Academy of Sciences[ZDRW-ZS-2016-6-4]
Funding OrganizationAustralian Research Council (ARC) ; Chinese Academy of Sciences
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000419007900010
PublisherMDPI AG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.igsnrr.ac.cn/handle/311030/56849
Collection中国科学院地理科学与资源研究所
Corresponding AuthorSingh, Vijay P.; Sivakumar, Bellie
Affiliation1.Texas A&M Univ, Dept Biol & Agr Engn, College Stn, TX 77843 USA
2.Texas A&M Univ, Zachry Dept Civil Engn, College Stn, TX 77843 USA
3.Univ New South Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia
4.Univ Calif Davis, Dept Land Air & Water Resources, Davis, CA 95616 USA
5.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Key Lab Land Surface Pattern & Simulat, Beijing 100101, Peoples R China
Recommended Citation
GB/T 7714
Singh, Vijay P.,Sivakumar, Bellie,Cui, Huijuan. Tsallis Entropy Theory for Modeling in Water Engineering: A Review[J]. ENTROPY,2017,19(12):25.
APA Singh, Vijay P.,Sivakumar, Bellie,&Cui, Huijuan.(2017).Tsallis Entropy Theory for Modeling in Water Engineering: A Review.ENTROPY,19(12),25.
MLA Singh, Vijay P.,et al."Tsallis Entropy Theory for Modeling in Water Engineering: A Review".ENTROPY 19.12(2017):25.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Singh, Vijay P.]'s Articles
[Sivakumar, Bellie]'s Articles
[Cui, Huijuan]'s Articles
Baidu academic
Similar articles in Baidu academic
[Singh, Vijay P.]'s Articles
[Sivakumar, Bellie]'s Articles
[Cui, Huijuan]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Singh, Vijay P.]'s Articles
[Sivakumar, Bellie]'s Articles
[Cui, Huijuan]'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.