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Tsallis Entropy Theory for Modeling in Water Engineering: A Review

文献类型：期刊论文

作者Singh, Vijay P.1,2; Sivakumar, Bellie3,4; Cui, Huijuan5
刊名ENTROPY
出版日期2017-12-01
卷号19期号:12页码:25
关键词entropy water engineering Tsallis entropy principle of maximum entropy Lagrangian function probability distribution function flux concentration relation
ISSN号1099-4300
DOI10.3390/e19120641
通讯作者Singh, Vijay P.(vsingh@tamu.edu) ; Sivakumar, Bellie(s.bellie@unsw.edu.au)
英文摘要Water 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.
WOS关键词HYDRAULIC GEOMETRY RELATIONS ; ONE-DIMENSIONAL VELOCITY ; RIVER FLOW REGIMES ; OPEN CHANNELS ; INFORMATION-THEORY ; HYDROLOGICAL STOCHASTICS ; STATISTICAL-MECHANICS ; UNIVARIATE MODEL ; NETWORK DESIGN ; UNCERTAINTY
资助项目Australian Research Council (ARC)[FT110100328] ; Chinese Academy of Sciences[ZDRW-ZS-2016-6-4]
WOS研究方向Physics
语种英语
WOS记录号WOS:000419007900010
出版者MDPI AG
资助机构Australian Research Council (ARC) ; Chinese Academy of Sciences
源URL[http://ir.igsnrr.ac.cn/handle/311030/56848]  
专题中国科学院地理科学与资源研究所
通讯作者Singh, Vijay P.; Sivakumar, Bellie
作者单位1.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
推荐引用方式
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.

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来源：地理科学与资源研究所

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