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.
|Number of pages||34|
|Journal||International Journal of Numerical Methods in Fluids|
|Publication status||Published - 2002|
- Navier-Stokes - free-surface flows - finite differences - upwinding - high-order discretization - bounded numerical scheme - hydraulic jump
McKee, S., Castelo, A. C., Fortuna, A. O., Cuminato, J. A., Tomé, M. F., Mangiavacchi, N., & Ferreira, V. G. (2002). High-order upwinding and the hydraulic jump. International Journal of Numerical Methods in Fluids, 39(7), 549-583. https://doi.org/10.1002/fld.234