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Determination of the model's parameters is an important stage of mathematical models' application. In the case of a free-surface ID unsteady flow model defined by the de Saint- Venant equations, one of the groups of parameters to be estimated is the set of parameters describing energy losses due to friction. The parameters can be estimated in different ways, but in most cases the task of their determination is an ill-posed problem. In such cases, optimi-zation methods are the most common approach. In spite of numerous examples of such applications, these techniques are still not fully recognized, as there are several problems of different nature that require thorough analysis. Automatic optimization methods are discussed in the paper. The most important questions of choosing the objective function and the optimization algorithm are considered. Problems connected with data reliability and accessibility and their influence on the solution are discussed. The most common pitfalls of optimization applications are discussed. The analysis is supported with numerical examples.
Wydawca
Rocznik
Tom
Strony
341--364
Opis fizyczny
Bibliogr. 31 poz., rys., tab.
Twórcy
autor
- Gdansk University of Technology, Faculty of Civil and Environmental Engineering, Narutowicza 11/12, 80-952 Gdansk, Poland, kwein@pg.gda.pl
Bibliografia
- [1] Cunge J A, Holly F M Jr and Verwey A 1980 Practical Aspects of Computational River Hydraulics, Pitman Publishing Limited, London, 3
- [2] Liggett J A 1975 Unsteady Flow in Open Channels, Stability, (Mahmood K and Yevjevich V, Eds) Fort Colins, Colorado: Water Resources Publ.
- [3] Samuels P G and Skeels C P 1990 J. Hydr. Eng. 116 (8) 997
- [4] Eagleson P S 1978 Dynamic Hydrology, PWN, Warsaw (in Polish)
- [5] Mitosek M 1999 Fluid Mechanics in Environmental Engineering, Warsaw University of Technology, Warsaw (in Polish)
- [6] Fread D L and Smith G F 1978 J. Hydr. Div. 104 (HY7) 1027
- [7] Chow V T 1959 Open Channel Hydraulics, McGraw-Hill Inc., New York
- [8] Szymkiewicz R 2000 Mathematical Modelling of Flows in Open Channels, PWN, Warsaw (in Polish)
- [9] Weinerowska K 2001 Inverse Problems in Open Channel Hydraulics, PhD Thesis, Gdansk Univ. of Technology, Gdansk (in Polish)
- [10] Khatibi RH, Williams J Rand Wormleaton P R 1997 J. Hydr. Eng. 123 (12) 1078
- [11] Kiełbasiński A and Schwetlick H 1992 Numerical Linear Algebra, WNT, Warsaw (in Polish)
- [12] Kałuża T and Jesse J 1995 Materials of 15th Polish School of Hydraulics, Polish Academy of Science (in Polish)
- [13] Kozioł A 1999 Materials of 19th Polish School of Hydraulics, Polish Academy of Science, pp. 63-68 (in Polish)
- [14] Gustafson K E 1980 Introduction to Partial Differential Equations and Hilbert Space Methods, John Wiley and Sons, New York
- [15] Becker Land Yeh W 1972 Water Resources Research 8 (4) 956
- [16] Becker Land Yeh W 1973 Water Resources Research 9 (2) 326
- [17] Wiggert J M, Taylor M R and Contractor D N 1976 Int. Symp. on Unsteady Flow in Open Channels, Univ. of Newcastle-on- Thyne, BHRA Fluid Engineering, Cranfield, Bedford, England
- [18] Davidson B, Vichnevetsky Rand Wang H T 1978 Water Resurces Research 14 (5) 777
- [19] Wormleaton P Rand Karmegam M 1980 Asian and Pacific Regional Div. of the Int. Assoc. for Hydr. Res., Conf. in Water Res. Devel., Taipei, Taiwan, pp. 681-689
- [20] Wormleaton P Rand Karmegam M 1984 ASCE Proc., J. Hydr. Div., New York, 12 1799
- [21] Khatibi R H, Wormleaton P R and Williams J R 2000 J. Hydr. Res. 38 (6) 447
- [22] Morris M Wand Anastasiadou-Partheniou E 1994 Calibration Criteria for 1D River Models. : Literature Review and Preliminary Assessment. Report SR 391, HR Wallingford
- [23] Lavedrine I A and Anastasiadou-Partheniou E 1995 Calibration Criteria for 1D River Models. Assessment of Objective Functions and Automatic Calibration. Report SR 442, HR Wallingford
- [24] Anastasiadou-Partheniou E and Samuels P G 1998 Proc. Instn. Civ. Engrs. Wat. Marit. & Energy 130 (9) 154
- [25] Anastasiadou-Partheniou E, Ampas V and Zissis T 1998 Automatic Calibration of an Implicit FD Computational Scheme for FD Open Channel Flow (materials not published)
- [26] Goldberg DE 1998 Genetic Algorithms and their Application, WNT, Warsaw (in Polish)
- [27] Michalewicz Z 1999 Genetic Algorithms + Data Structures = Evolution Programs, WNT, Warsaw (in Polish)
- [28] Arabas J 2001 Lectures in Evolution Algorithms, WNT, Warsaw
- [29] Kendall M G and Yule G U 1966 Introduction to the Theory of Statistics, PWN, Warsaw (in Polish)
- [30] Szymkiewicz R (Ed.) 1991 J. Hydrology 122 275
- [31] Szymkiewicz R et at. 1992 Hydrodynamics of Vistula Lagoon, Warsaw Univ. of Technology, Warsaw, 4
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Bibliografia
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bwmeta1.element.baztech-article-BPG5-0030-0047