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