Author(s): Naveed Ul Hassan Bhat; Gourabananda Pahar

Linked Author(s):

Keywords: SWE; HLL; Free surface flow; Riemann problem

Abstract: Free surface flows with sharply varying bathymetry in form of complex obstructions to flow may lead to a hydrological disaster besides the damage of the obstruction itself. The obstruction could be an isolated building or a series of the same. The shallow water equations (SWEs) are utilized in this study for the numerical modeling of the flow around such obstacles in the flow path. The obstructions (underlying or emergent) have been modeled as the part of the rigid bed and the numerical implementation requires closures with respect to the preservation of the equilibria (moving and stationary) as well as the wet/dry fronts. The complete set of equations is solved in a regular finite volume grid by utilizing an approximate Riemann solver (Harten–Lax–van Leer method) that is utilized in conjunction with augmentation of the source/sink terms. The proposed framework is tested for various configurations of the obstacles in one and two dimensions to highlight the incorporation of the topography as a source/sink term with suitable modifications. The test-cases reflect the model’s ability to evaluate quantitatively the flow parameters at the obstructions in flow path.

DOI: https://doi.org/10.1007/978-981-97-6009-1_44

Year: 2022