A new two-phase shallow water hydro-sedi-morphodynamic model with the HLLC solver for inter-grid numerical flux estimation
- 1Ocean College, Zhejiang University, Zhoushan campus, China
- 2State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430000, China
- 3Swansea University,College of Engineering, Zienkiewicz Centre for Computational Engineering,UK
- 4Changjiang Waterway Planning, Design and Research Institute, Wuhan 430040, China
Given that fluvial flows carrying relatively coarse sediments involve strong interactions between the water and the sediment phases, two-phase shallow water hydro-sedi-morphodynamic models have been developed (Li et al. 2019, Advances in Water Resources, 129(JUL.), 338-353; Lyu et al. 2021: EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-4258). Here we report improvements over the model by Lyu et al. (2021), which lead to considerably improved numerical accuracies. Specifically, using finite volume method (FVM) to solve the governing equations on unstructured grids, the Harten-Lax-van Leer-Contact (HLLC) Riemann solver is proposed to estimate the inter-cell numerical flux for the flow phase and the sediment phases separately, in contrast to previous two-phase flow models using centered schemes. The improved numerical accuracy is demonstrated by numerically revisiting a series of experimental scenarios including refilling of a dredged trench, and a full dam-break flow in an abruptly widening channel.
How to cite: Hu, P., Lyu, B., Li, J., Liu, Q., Li, Y., and Cao, Z.: A new two-phase shallow water hydro-sedi-morphodynamic model with the HLLC solver for inter-grid numerical flux estimation, EGU General Assembly 2022, Vienna, Austria, 23–27 May 2022, EGU22-1951, https://doi.org/10.5194/egusphere-egu22-1951, 2022.
