Local Time Stepping for Modeling Open Channel Flows

Journal of Hydraulic Engineering

Volumn 129, Issue 6, 2003, Pages 455-462

  Crossley, Amanda J ^a   Wright, Nigel G ^a   Whitlow, Chris D ^b  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b EdenVale Modelling Services   (United Kingdom)

Author keywords

Models; Numerical analysis; Open channel flow; Unsteady flow

Indexed keywords

NUMERICAL ANALYSIS; ALGORITHMS; AVIATION; COMPUTER SIMULATION; NUMERICAL METHODS; RELIABILITY; WIND;

FINITE-VOLUME; GLOBAL TIME; LOCAL TIME STEPPING; OPEN-CHANNEL FLOW; ROES RIEMANN SOLVERS; SAINT VENANT EQUATION; SOURCE TERMS; TIME STEPPING ALGORITHMS; TIME-ACCURATE; UPWIND TREATMENTS;

OPEN CHANNEL FLOW; CHANNEL FLOW;

LOCAL TIME STEPPING (LTS) ALGORTIHMS;

ALGORITHM; OPEN CHANNEL FLOW; RIVER ENGINEERING; UNSTEADY FLOW;

ALGORITHM; NUMERICAL MODEL; OPEN CHANNEL FLOW; RIVER ENGINEERING; UNSTEADY FLOW;

CHRISTIA;

EID: 0038346027     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(2003)129:6(455)     Document Type: Article

References (24)

1. Abbott, M. B. (1979). Computational hydraulics, Pitman Publishing, London.
2. Bermúdez, A., and, Vázquez, M. E. (1994). " Upwind methods for hyperbolic conservation laws with source terms. " Comput. Fluids, 23 (8), 1049-1071.
3. Chow, V. (1959). Open channel hydraulics, McGraw-Hill, Auckland, New Zealand.
4. Crossley, A. J. (1999). "Accurate and efficient numerical solutions for the Saint Venant equations of open channel flow." PhD thesis, School of Civil Engineering, Univ. of Nottingham, Nottingham, U.K.
5. Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics, Pitman Publishing, London.
6. Garcĺa-Navarrol, P., Alcrudo, F., and, Savirón, J. M. (1992). " 1-D open channel flow simulation using TVD-McCormack scheme. " J. Hydraul. Eng., 118 (10), 1359-1372.
7. Garcĺa-Navarro, P., and Vázquez-Cendón, M. E. (1998). "Roe's scheme for 1-D irregular geometries." Proc., Hydroinformatics 98, International Association for Hydraulic Research (IAHR), Copenhagen, Denmark, 77-84.
8. Garcĺa-Navarro, P., and, Vázquez-Cendón, M. E. (2000). " On the numerical treatment of the source terms in the shallow water equations. " Comput. Fluids, 29 (8), 951-979.
9. Gladwell, I., and Sayers, D. K. (1980). Computational techniques for ordinary differential equations, Academic, London.
10. Glaister, P. (1987). "Difference schemes for the shallow water equations." Numerical Analysis Rep. Number 9/87, Univ. of Reading, U.K.
11. Kleb, W. L., Batina, J. T., and, Williams, M. H. (1992). " Temporal adaptive Euler/Navier-Stokes algorithm involving unstructured dynamic meshes. " AIAA J., 30 (8), 1980-1985.
12. MacDonald, I., Baines, M. J., Nichols, N. K., and, Samuels, P. G. (1997). " Analytic benchmark solutions for open-channel flows. " J. Hydraul. Eng., 123 (11), 1041-1045.
13. Pervaiz, M., and, Baron, J. (1988). " Temporal and spatial adaptive algorithm for reactive flows. " Commun. Appl. Numer. Methods, 4 (1), 97-111.
14. Roe, P. L. (1981). " Approximate Riemann solvers, parameter vectors and difference schemes. " J. Comput. Phys., 43, 357-372.
15. Samuels, P. G. (1990). "Cross-section location in 1-D models." Int. Conf. on Flood Hydraulics, IAHR, Wallingford, U.K., 339-350.
16. Savic, L. J., and, Holly, F. M., Jr. (1993). " Dambreak flood waves computed by modified Godunov method. " J. Hydraul. Res., 31 (2), 187-204.
17. Sweby, P. K. (1984), " High resolution schemes using flux limiters for hyperbolic conservation laws. " SIAM Soc. Ind. Appl. Math. J. Numer. Annal., 21 (5), 995-1011.
18. Tchamen, G., and, Kahawita, R. A. (1998). " Modelling wetting and drying effects over complex topography. " Hydrolog. Process., 12 (8), 1151-1182.
19. Tchamen, G., Kahawita, R. A., and Tessier J.-C. (1994). "On the construction of a numerical model for the solution of the shallow water wave equations on a general unstructured mesh using Riemann solvers." Proc., 1st Int. Conf. on Hydroinformatics, IHE, Delft, Netherlands, 679-686.
20. Toro, E. F. (1992). " Riemann problems and the WAF method for solving the two-dimensional shallow water equations. " Philos. Trans. R. Soc. London, Ser. A, 338, 43-68.
21. Vázquez-Cendón, M. E. (1999). " Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry. " J. Comput. Phys., 148 (2), 497-526.
22. Wright, N. G., Whitlow, C. D., and Crossley, A. J. (1999). "Locally adapted time steps for open channel flow with transitions." Proc., 28th Congress of the IAHR, Graz, Austria, 364-369.
23. Zhang, X. D., Trépanier, J.-Y., Reggio, M., and, Camarero, R. (1994a). " Time-accurate local time stepping method based on flux updating. " AIAA J., 32 (9), 1926-1929.
24. Zhang, X. D., Trépanier, J.-Y., Reggio, M., and Camarero, R. (1994b). "A new local time stepping approach for the unsteady Euler equations." AIAA Paper 94-0525.