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High-order upwinding and the hydraulic jump

McKee, S. and Castelo, A.C. and Fortuna, A.O. and Cuminato, J.A. and Tomé, M.F. and Mangiavacchi, N. and Ferreira, V.G. (2002) High-order upwinding and the hydraulic jump. International Journal of Numerical Methods in Fluids, 39 (7). pp. 549-583. ISSN 0271-2091

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This work is concerned with the computation of incompressible axisymmetric and full three-dimensional free-surface flows. In particular, the circular-hydraulic jump is simulated and compared with approximate analytic solutions. However, the principal thrust of this paper is to provide a real problem as a test bed for comparing the many existing convective approximations. Their performance is compared; SMART, HLPA and VONOS emerge as acceptable upwinding methods for this problem.