A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme

Author:

Salamttalab Mohammad Milad1,Parmas Behnam2ORCID,Mustafa Alee Hedi3,Hooshyaripor Farhad2,Danandeh Mehr Ali45ORCID,Vosoughifar Hamidreza6ORCID,Hosseini Seyed Abbas2ORCID,Maghrebi Mohsen7ORCID,Noori Roohollah78ORCID

Affiliation:

1. School of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

2. Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran 14515, Iran

3. Department of Road and Construction, Erbil Technology College, Erbil Polytechnic University, Erbil 44001, Iraq

4. Civil Engineering Department, Antalya Bilim University, Antalya 07190, Turkey

5. New Era and Development in Civil Engineering Research Group, Scientific Research Center, Al-Ayen University, Thi-Qar 64001, Iraq

6. Civil and Environmental Engineering, University of Hawaii at Manoa, Manoa, HI 96822, USA

7. Graduate Faculty of Environment, University of Tehran, Tehran 1417853111, Iran

8. Faculty of Governance, University of Tehran, Tehran 1439814151, Iran

Abstract

This study proposes a numerical model for depth-averaged Reynolds equations (shallow-water equations) to investigate a dam-break problem, based upon a two-dimensional (2D) second-order upwind cell-centre finite volume method. The transportation terms were modelled using a modified approximate HLLC Riemann solver with the first-order accuracy. The proposed 2D model was assessed and validated through experimental data and analytical solutions for several dam-break cases on a wet and dry bed. The results showed that the error values of the model are lower than those of existing numerical methods at different points. Our findings also revealed that the dimensionless error parameters decrease as the wave propagates downstream. In general, the new model can model the dam-break problem and captures the shock wave superbly.

Publisher

MDPI AG

Subject

Water Science and Technology,Aquatic Science,Geography, Planning and Development,Biochemistry

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