Abstract

This study proposed a transient 2-D hydrodynamic model adopting streamline upwind/Petrov-Galerkin (SU/PG) scheme for the analysis of discontinuous wave propagations by the sudden collapse of circular cylinder as well as by the dam break. The computation of sudden collapse in the circular cylinder problem identified both the outward-propagating circular shock waves and inward-propagating circular rarefaction waves. It was also confirmed that the advancing front and the depressive wave preserve the cylindrical symmetry, and the bore wave without oscillations was computed. The simulation results of the dam break shows that the bore and depressive waves which are propagating downstream and upstream, respectively are effectively developed and the shock front is sharply captured. The SU/PG scheme needs no tuning of adjustable parameters such as the artificial viscosity coefficient to be a viable option for accurate prediction of the flow characteristics in a discontinuous free surface case.

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