Stability and Accuracy of Weighted Four-Point Implicit Finite Difference Schemes for Open Channel Flow

Journal of Hydraulic Engineering

Volumn 128, Issue 3, 2002, Pages 281-288

  Venutelli, Maurizio ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Accuracy; Computation; Dissipation; Finite difference method; Open channel flow; Stability

Indexed keywords

DISPERSIONS; FINITE DIFFERENCE METHOD; FRICTION; DIMENSIONAL STABILITY; EQUATIONS OF MOTION; STREAM FLOW;

ACCURACY; DISSIPATION; FINITE-DIFFERENCE METHODS; FOUR-POINT; FREE SURFACES; FRICTIONAL RESISTANCE; IMPLICIT FINITE-DIFFERENCE SCHEMES; OPEN-CHANNEL FLOW; POINT IMPLICIT; UNSTEADY MOTION;

OPEN CHANNEL FLOW;

TRUNCATION ERROR;

DISSIPATION; EQUATION; FINITE DIFFERENCE TECHNIQUE; FLOW STABILITY; FREE SURFACE FLOW; OPEN CHANNEL FLOW;

DISSIPATION; FINITE DIFFERENCE METHOD; FLOW STABILITY; FREE SURFACE FLOW; OPEN CHANNEL FLOW;

CHRISTIA;

EID: 0036501089     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2002)128:3(281)     Document Type: Article

References (17)

1. Abbott, M. B., and Basco, D. R. (1989). Computational fluid dynamics: An introduction for engineers, Longman Scientific & Technical, London.
2. De Saint-Venant, B. (1871). " Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit. " Acad. Sci., Paris, C. R., COREAF 73, 147-154, 237-240 (in French). asf COREAF 0001-4036
3. Evans, E. P. (1977). "The behaviour of a mathematical model of open channel." 17th Congress of the IAHR, Baden-Baden, Vol. 2, 173-180.
4. Fread, D. L. (1974). "Numerical properties of implicit four-point finite difference equations of unsteady flow." NOAA Technical Memorandum NWS HYDRO-18.
5. Henderson, F. M. (1966). Open channel flow, Macmillan, New York.
6. Hicks, F. E., and Steffler, P. M. (1990). "Finite element modeling of open channel flow." Water Resources Engineering, Rep. WRE 90-6, Dept. of Civil Engineering, Univ. of Alberta, Edmont, Alberta, Canada.
7. Hicks, F. E., and, Steffler, P. M. (1994). " Comparison of finite element methods for the St. Venant equations. " Int. J. Numer. Methods Fluids, IJNFDW 20, 99-113. ijy IJNFDW 0271-2091
8. Leendertse, J. J. (1967). "Aspects of a computational model for long-period water-wave propagation." Memorandum RM-5294-PR, Rand Corporation, Santa Monica, Calif.
9. Liggett, J. A. (1975a). "Basic equations of unsteady flow." Water Resources Publications, Ed. Mahmood, Yevjevich, Fort Collins, Colo., Vol. 1, 29-62.
10. Liggett, J. A. (1975b). "Stability." Water Resources Publications, Ed. Mahmood, Yevjevich, Fort Collins, Colo., Vol. 1, 259-282.
11. Liggett, J. A., and Cunge, J. A. (1975). "Numerical methods of solution of the unsteady flow equations." Water Resources Publications, Ed. Mahmood, Yevjevich, Fort Collins, Colo. Vol. 1, 89-182.
12. Lyn, D. A., and, Goodwin, P. (1987). " Stability of a general Preissmann scheme. " J. Hydraul. Eng., JHEND8 113 (1), 16-28. 9fn JHEND8 0733-9429
13. Meselhe, E. A., and, Holly, F. M., Jr. (1997). " Invalidity of Preissmann scheme for transcritical flow. " J. Hydraul. Eng., JHEND8 123 (7), 652-655. 9fn JHEND8 0733-9429
14. Preissmann, A. (1961). "Propagation des intumescences dans les canaux et rivières." First Congress of the French Association for Computation, Grenoble, France, 433-442 (in French).
15. Richtmyer, R. D., and Morton, K. W. (1967). Difference methods for initial-value problems, Wiley, New York.
16. Samuels, P. G., and, Skeels, C. P. (1990). " Stability limits for Preissmann's scheme. " J. Hydraul. Eng., JHEND8 116 (8), 997-1012. 9fn JHEND8 0733-9429
17. Skeels, C. P., and Samuels, P. G. (1989). "Stability and accuracy analysis of numerical schemes modelling open channel flow." Proc., HYDROCOMP 89, Elsevier Applied Science, London, 148-157.