Dealing with uncertainties in engineering problems using only available data

被引：10

作者：

Babuska, Ivo ^{[1
]}

Silva, Renato S. ^{[2
]}

机构：

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] LNCC MCTI, Lab Natl Comp Cient, Porto Alegre, RS, Brazil

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2014年 / 270卷

关键词：

Uncertainty quantification; Heat exchanger; Fouling; Worst scenario; Fuzzy sets; Probability theorey; VALIDATION; MODEL;

D O I：

10.1016/j.cma.2013.11.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is the second in the series of three addressing the problem of how to deal with uncertainties in the modelings of engineering problems using only available data. The problem of the heat exchanger was selected as the example because it is sufficiently complex but still simple so that the difficulties and ideas will be apparent. There are various theories on how to treat the uncertainties in the first paper. In the series we use only the fuzzy set, respectively the possibility theory. In this paper we use the fuzzy approach for some model parameters and the probability approach for the others. The third paper will use the Bayesian theory. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：57 / 75

页数：19

共 75 条

[11]

[Anonymous], 2011, HEAT EXCH FOUL CLEAN

[12]

[Anonymous], 2001, APPL INTERVAL ANAL E

[13]

[Anonymous], 1987, Solving Ordinary Differential Equations I: Non-Stiff Systems, DOI 10.1016/0378-4754(87)90083-8

[14]

Ayyub B.M., 2006, Uncertainty Modeling and Analysis in Engineering and the Sciences

[15] A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria [J].

Babuska, I. ;

Nobile, F. ;

Tempone, R. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (29-32) :2517-2539

[16] Reliability of computational science [J].

Babuska, I. ;

Nobile, F. ;

Tempone, R. .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2007, 23 (04) :753-784

[17] Worst case scenario analysis for elliptic problems with uncertainty [J].

Babuska, I ;

Nobile, F ;

Tempone, R .

NUMERISCHE MATHEMATIK, 2005, 101 (02) :185-219

[18] Numerical treatment of engineering problems with uncertainties. The fuzzy set approach and its application to the heat exchanger problem [J].

Babuska, Ivo ;

Silva, Renato S. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2011, 87 (1-5) :115-148

[19]

Baker D.K., 2000, THESIS U TEXAS AUSTI

[20]

Bandemer H., 1995, Fuzzy sets, fuzzy logic, fuzzy methods with applications

← 1 2 3 4 5 6 7 8 →