Mechanisms of coupling in river flow simulation systems

Journal of Computational and Applied Mathematics

Volumn 168, Issue 1-2, 2004, Pages 459-470

  Steinebach, G ^a   Rademacher, S ^b   Rentrop, P ^c   Schulz, M ^c  

^a UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b FEDERAL INSTITUTE OF HYDROLOGY   (Germany)

^c UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Coupling mechanism; Differential algebraic equations; Forecast models; Integrated modelling; Method of lines; River flow simulation; Shallow water equations

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; CATCHMENTS; COMPUTER SIMULATION; FLOW OF WATER; FORECASTING; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

INTEGRATED MODELLING; RIVER FLOW; SHALLOW WATER EQUATIONS;

RIVERS;

COMPUTATIONAL FLUID DYNAMICS; COUPLING; RIVER;

EID: 2942612055     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.12.008     Document Type: Article

References (19)

1. Brenan K.E. Campbell S.L. Petzold L.R. Numerical Solution of Initial-value Problems in Differential-algebraic Equations 1989 North-Holland Amsterdam
2. S. Dick, E. Kleine, S. Müller-Navarra, H. Klein, H. Komo, The operational circulation model of the BSH (BSHcmod)-model description and validation, Ber. Bundesamt. Seeschiff. Hydrograph. 29 (2001) 49pp.
3. Hairer E. Wanner G. Solving Ordinary Differential Equations II, Stiff and Differential Algebraic Problems 2nd Ed. 1996 Springer Berlin
4. Hilden M. Steinebach G. ENO-discretizations in MOL-applications: some examples in river hydraulics Appl. Numer. Math. 28 1998 293-308
5. C. Hirsch, Numerical Computation of Internal and External Flows, Vol. 2, Wiley, New York, 1988.
6. M. Kinder, M. Adler, F. Schöll, M. Schleuter, G. Steinebach, Zur Habitatmodellierung bei grossen Fliessgewässern, in: J. Wittmann, et al., (Eds.), Simulation in Umwelt- und Geowissenschaften, Shaker Aachen, 2000, pp. 269-277.
7. Kübler R. Schiehlen W. Two methods of simulator coupling Math. Comput. Modelling of Dynam. Systems 6 2000 93-113
8. S. Rademacher, M. Joost, G. Schikowski, G. Steinebach, Grundlagen, Aufbau und Betrieb des Wasserstandsvorhersagemodells Grenzoder, BfG-Mitteilungen, Koblenz, to appear.
9. Rentrop P. Steinebach G. Model and numerical techniques for the alarm system of river Rhine Surveys Math. Industry 6 1997 245-265
10. Schmidt M. Die Berechnung unvollkommener Überfall Wasserwirtschaft 7 1957
11. M. Schulz, Numerical simulation of 2D flows for natural rivers, Fortschritt-Berichte VDI, Reihe 20 (363) (2003) 130pp.
12. Schulz M. Steinebach G. Two-dimensional modelling of the river Rhine J. Comput. Appl. Math. 145 1 2002 11-20
13. Simeon B. Order reduction of stiff solvers at elastic multibody systems Appl. Numer. Math. 28 1998 459-475
14. Steinebach G. Ngo A.Q.T. A method of lines flux-difference splitting finite volume approach for 1d and 2d river flow problems Toro E.F. Godunov Methods: Theory and Applications 2001 863-871 Kluwer Academic/Plenum Dordrecht/New York
15. Steinebach G. Rentrop P. An adaptive method of lines approach for modelling flow and transport in rivers Vande Wouver A. Sauces Ph. Schiesser W.E. Adaptive Method of Lines 2001 181-205 Chapman - Hall/CRC London/Boca Raton, FL
16. Steinebach G. Wilke K. Flood forecasting and warning on the River Rhine Water Environ. Management, J.CIWEM 14 2000 39-44
17. Stoker J.J. Water Waves, the Mathematical Theory with Applications 1957 Interscience New York
18. Toro E.F. Shock Capturing Methods for Free Surface Shallow Flows 2001 Wiley New York
19. Vreugdenhil C.B. Numerical Methods for Shallow-water Flow 1994 Kluwer Academic Dordrecht