A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds

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Date

2023-08-01

Author

Zheng, Xiangcou
Seaid, Mohammed
Pisano, Federico
Hicks, Michael A.
Vardon, Philip J.
Huvaj Sarıhan, Nejan
Osman, Ashraf S.

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A hybrid material point/finite volume method for the numerical simulation of shallow water waves caused by largedynamic deformationsin thebathymetryis presented. The proposed model consists of coupling the nonlinearshallow water equationsfor the water flow and a dynamic elastoplastic system for the seabed deformation. As a constitutive law, we consider a linear elastic-non-associative plastic model with the Drucker-Prager yield criterion allowing forlarge deformationsunder undrained cases. The transfer conditions between these models are achieved by using forces sampled from thehydraulic pressureand the friction terms along the interface between the seabed soil and shallow water. A detailed description regarding the coupled algorithm for the hybrid material point/finite volume method is presented. Several numerical examples are investigated to demonstrate the performance of thefinite volume methodfor simulations of shallow water flow and thematerial point methodfor capturing the large deformation process of the solid phase. We also present numerical simulations of an undrained clay column collapse that induced shallow water waves and a dam-break problem to demonstrate the excellent performance of the proposed hybrid material point/finite volume method.

Subject Keywords

Finite volume method, Hybrid methods, Large deformation analysis, Material point method Shallow water flows, Material point method, Shallow water flows

URI

https://www.sciencedirect.com/science/article/pii/S0266352X23004305
https://hdl.handle.net/11511/105080

Journal

COMPUTERS AND GEOTECHNICS

DOI

https://doi.org/10.1016/j.compgeo.2023.105673

Collections

Department of Civil Engineering, Article

Citation Formats

X. Zheng et al., “A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds,” COMPUTERS AND GEOTECHNICS, vol. 162, pp. 1–16, 2023, Accessed: 00, 2023. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S0266352X23004305.