Genuinely multidimensional upwinding for the 2D shallow water equations

Journal of Computational Physics

Volumn 121, Issue 1, 1995, Pages 79-93

  Garcia Navarro, P ^a   Hubbard, M E ^a   Priestley, A ^a  

^a UNIVERSITY OF READING   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001921830     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1995.1180     Document Type: Article

References (16)

1. F. Alcrudo and P. Garcia-Navarro, frit. J. Numer. Methods Fluids 16, 489 (1993).
2. M. Baines, Math. Comput. to appear.
3. C. V. Bellos, J. V. Soulis, and J. G. Sakkas, Adv. Water Resources 14, 31 (1991).
4. J. A. Cunge, F. M. Holly, and A. Verwey, Practical Aspects of Computational River Hydraulics (Pitman, London, 1980.)
5. H. Deconinck, R. Struijs, G. Bourgois, H. Paillere, and P. L. Roe, “Multidimensional Upwind Methods for Unstructured Grids/’ in Unstructured Grid Methods for Advection Dominated Flows, AGARD, Vol. 787 (1992).
6. Ch. Hirsch, Natural Computation of fntemal and External Flows. Vol. 2. Computational Methods for Inviscid and Viscous Flows (Wiley, Chichester, 1990.)
7. R. J. Fennema, and M. H. Chaudhry, J. Hydraul. Eng. ASCE 116, 1013 (1990).
8. P. Garcia-Navarro, and F. Alcrudo, J. Hydraul. Eng. ASCE 118, 1359 (1992).
9. P. Garcia-Navarro and F. Alcrudo, in Proceedings, XXV IAHR Congress Tokyo, 1993.
10. M. E. Hubbard, Numerical Analysis Report 7/93, Department of Mathematics, University of Reading, U.K., 1993.
11. P. L. Roe, J. Comput. Phys. 63, 458 (1986).
12. P. L. Roe, “A Basis for Upwind Differencing of the Two-Dimensional Unsteady Euler Equations,'’ in Numerical Methods for Fluid Dynamics If, edited by K. W. Morton and M. J. Baines (Oxford Univ. Press, London, 1986).
13. P. L. Roe, R. Struijs, and H. Deconinck, J. Comput. Phys., to appear.
14. M. Rudgyard, Multidimensional Wave Decompositions for the Euler Equations, VKI Lecture Series, Computational Fluid Dynamics, 1993.
15. R. Struijs, P. L. Roe, and H. Deconinck, Fluctuation Splitting Schemes for the 2D Euler Equations, VKI Lecture Series 1991-01, Computational Fluid Dynamics, 1991.
16. C. B. Vreugdenhil and B. Koren (Eds.), Numerical Methods for Advection- Diffusion Problems Notes on Numerical Fluid Mechanics, Vol. 45, Braunschweig, Vieweg, 1993.