Calculation of unsteady bore diffraction using a high resolution finite volume method

Journal of Hydraulic Research

Volumn 38, Issue 1, 2000, Pages 49-56

  Mingham, C G ^a   Causon, D M ^a  

^a MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHANNEL FLOW; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FINITE VOLUME METHOD; PIERS; TOPOLOGY; UNSTEADY FLOW;

BORE-ON-BORE COLLISIONS; GODUNOV TYPE GRIDS; MACH REFLECTION; UNSTEADY BORE DIFFRACTION;

WATER WAVE EFFECTS;

EID: 0033877847     PISSN: 00221686     EISSN: None     Source Type: Journal    
DOI: 10.1080/00221680009498358     Document Type: Article

References (26)

1. AT IPPEN and JH DAWSON, (1951). Design of channel contractions: High velocity flow in open channels (symposium). Transactions of the ASCE, 116:326-346.
2. AT IPPEN and DRF HARLEMAN, (1956). Verification of theory for oblique standing waves. Transactions of the ASCE, 121:678-694.
3. WH HAGER, M SCHWALT, O JIMENEZ, and MH CHAUDHRY, (1994). Supercritical flow near an abrupt wall deflection. Journal of Hydraulic Research, 32(1):103-118.
4. DM CAUSON, CG MINGHAM, and DM INGRAM, (1999). Advances in calculation methods for supercritial flow in spillway channels. ASCE 125(10), 1039-1050, Journal of Hydraulic Engineering.
5. DH ZHAO, HW SHEN, JS LAI, and GQ TABIOS, (1996). Approximate Riemann solvers in fvm for 2D hydraulic shock wave modelling. Journal of Hydraulic Engineering, 122(12):692-702.
6. AA AKANBI and ND KATOPODES, (1988). Model for flood propagation on initially dry land. Journal of Hydraulic Engineering, 114(7):689-706.
7. RT FENNEMA and MH CHAUDHRY, (1990). Explicit methods for 2D transient free surface flows. Journal of Hydraulic Engineering, 116(11):1013-1014.
8. CV BELLOS, JV SOULIS, and JG SAKKAS, (1991). Computation of two dimensional dam break induced flows. Advances in Water Resources, 14(1):31-41.
9. DH ZHAO, HW SHEN, GQ TABIOS, JS LAI, and WY TAN, (1994). Finite volume two dimensional unsteady flow model for river basins. Journal of Hydraulic Engineering, 120(7):863-883.
10. F ALCRUDO and P GARCIA-NAVARRO, (1993). A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations. International Journal Numerical Methods Fluids, 16:489-505.
11. G YANG, DM CAUSON, DM INGRAM, R SAUNDERS, and P BATTEN, (1997). A cartesian cut cell method for compressible flows - part A : Static body problems. Aeronautical Journal, 101(1001):47-56.
12. G YANG, DM CAUSON, DM INGRAM, R SAUNDERS, and P BATTEN, (1997). A cartesian cut cell method for compressible flows - part B : Moving body problems. Aeronautical Journal, 101(1001):57-65.
13. JL STEGER and RF WARMING, (1981). Flux vector splitting of the inviscid gasdynamic equations with applications to finite difference methods. Journal Computational Physics, 40:263-293.
14. PL ROE, (1981). Approximate Riemann solvers, parameter vectors and difference schemes. Journal of Computational Physics, 43:357-372.
15. B VAN LEER, (1982). Flux vector splitting for the Euler equations. Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics, 170:507-512.
16. S OSHER and F SOLOMON, (1982). Upwind difference schemes for hyperbolic conservation laws. Mathematics of Computing, 38(158):339-374.
17. P GLAISTER, (1988). Approximate Riemann solutions of the shallow water equations. Journal of Hydraulic Research, 26(3):293-306.
18. B VAN LEER, (1984). On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. SIAM Journal on Scientific and Statistical Computing, 5(1):1-20.
19. A HARTEN, PD LAX, and B VAN LEER, (1983). On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review, 25(1):35-61.
20. SF DAVIS, (1988). Simplified second-order Godunov-type methods. SIAM Journal of Statistical and Scientific Computing, 9:445-473.
21. J YANG and CA HSU, (1993). Computation of free surface flows. Journal of Hydraulic Research, 31(3):403-413.
22. P BATTEN, C LAMBERT, and DM CAUSON, (1996). Positively conservative high resolution convection schemes for unstructured elements. International Journal for Numerical Methods in Engineering, 39(11):1821-1838.
23. RV PEARSON, DM CAUSON, and CG MINGHAM, (1997). Simulation of coastal and estuarine hydrodynamics using a high resolution finite volume technique on a quadtree cartesian mesh. In JR Acinas and CA Brebbia, editors, Computer Modelling of Seas and Coastal Regions III, pages 23-32. Computational Mechanics Publications.
24. II GLASS and JP SISLIAN, (1994). Nonstationary Flows and Shock Waves. Number 39 in Oxford Engineering Science. Clarendon Press, Oxford.
25. SJ BILLETT and EF TORO, (1997). On WAF-type schemes for multidimensional hyperbolic conservation laws. Journal of Computational Physics, 130:1-24.
26. JY YANG, Y LIU, and H LOMAX, (1987). Computation of shock wave reflection by a circular cylinder. AIAA Journal, 25(5):683-689.