Title: Transient SU/PG modelling of discontinuous wave propagation

Authors: Chang Geun Song; Taekeun Oh

Addresses: Department of Safety Engineering, Incheon National University, 12-1 Songdo-dong, Yeonsu-gu, Incheon 406-772, South Korea ' Department of Safety Engineering, Incheon National University, 12-1 Songdo-dong, Yeonsu-gu, Incheon 406-772, South Korea

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.

Keywords: transient modelling; discontinuous wave propagation; 2D hydrodynamic models; shallow water equations; finite element method; FEM; streamline upwind/Petrov-Galerkin; SU/PG; tidal waves; cylinder break; dam break; mass conservation; bore waves; depressive waves; circular cylinders.

DOI: 10.1504/PCFD.2016.076221

Progress in Computational Fluid Dynamics, An International Journal, 2016 Vol.16 No.3, pp.146 - 162

Published online: 30 Apr 2016 *

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