Simulation of Free Surface Flow over Spillway
Publication: Journal of Hydraulic Engineering
Volume 125, Issue 9
Abstract
A numerical approach is proposed to simulate and study the effect of geometry on the free surface flow over a tunnel spillway. A three-step solution procedure is proposed to speed up the solution. The first step is to obtain an approximate free surface profile and mean velocity distribution, assuming 1D steady flow. Next, the 3D turbulent flow field is computed while the water surface profile is kept fixed. Finally, the water surface is set free to move and generate waves. The governing equations for weakly compressible flow (compressible hydrodynamic flow) are solved with an explicit finite volume method. A boundary fitted grid system is used to accurately resolve the flow near the free surface with steep waves. A mixed Lagrangian-Eulerian approach is proposed to calculate the new free surface position. The numerical results of a time-averaged free surface profile as well as pressure and velocity distribution have been compared with some experimental data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ellis, J., and Pender, G. (1982). “Chute spillway design calculations.” Proc., Inst. Civ. Engrs., 73(June), Part 1, 299–312.
2.
Harlow and Welch. (1965). “Numerical calculation of time dependent viscous incompressible flow of fluid with free surface.” Phys. of Fluid, 8, 2152–2189.
3.
He, J., and Song, C. C. S. ( 1991). “Numerical simulation and visualization of two-dimensional diffuser flow.” ASME, FED-Vol. 128, 355–361.
4.
Ippen, A. T., et al. (1951). “Proceedings of a symposium on high-velocity flow in open channels.” Trans. ASCE, 116, 265–400.
5.
Khan, A. A., and Steffler, P. M. (1996). “Vertically averaged and moment equations model for flow over curved beds.”J. Hydr. Engrg., ASCE, 12(1), 3–9.
6.
MacCormack, R. W. (1969). “Effect of viscosity in hypervelocity impact cratering.” AIAA Paper 69–354.
7.
Montes, J. S. (1994). “Potential-flow solution to 2D transition from mild to steep slope.”J. Hydr. Engrg., ASCE, 120(5), 601–62.
8.
Reinauer, R., and Hager, W. (1998). “Supercritical flow in chute contraction.”J. Hydr. Engrg., ASCE, 124(1), 55–64.
9.
Song, C. C. S., and Chen, X. (1996). “Compressibility boundary layer and computation of small Mach number flows.” Proc., 2nd Int. Conf. on Hydrodyn.
10.
Song, C. C. S., He, J., Zhou, F., and Wang, G. (1997). “Numerical simulation of cavitating and non-cavitating hydrofoils.” Proj. Rep. No. 402, St. Anthony Falls Laboratory.
11.
Song, C. C. S., and Yuan, M. (1988). “A weakly compressible flow model and rapid convergence method.” J. Fluid Engrg., 110, 441–445.
12.
Tsai, W., and Yue, D. (1996). “Computation of nonlinear free-surface flows.” Annu. Rev. Fluid Mech., 28, 249–278.
13.
Thompson, J. F., Warsi, Z. U. A., and Martin, C. W. (1985). Numerical grid generation, foundation and application. North-Holland, Amsterdam.
Information & Authors
Information
Published In
History
Received: Aug 26, 1996
Published online: Sep 1, 1999
Published in print: Sep 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.