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A continuum-based fully-Lagrangian model for ice-water dynamics

Author(s): Mahyar Talebi; Mojtaba Jandaghian; Ahmad Shakibaeinia

Linked Author(s): Ahmad Shakibaeinia

Keywords: River Ice; Sea Ice; Ice Formation; Growth and Dynamics

Abstract: Numerical methods for ice dynamics problems are either based on the discrete or continuum descriptions of the ice floes. While the discrete-based approaches, such as the Discrete Element Method (DEM), are very accurate, they are computationally expensive for large-scale problems, as they deal with individual ice floes. On the other hand, the continuum description offers scalability and computational affordability, by considering the assembly of ice parcels as a body of continuum and solving the conservation equations. In combination with the mesh-free Lagrangian (particle) numerical methods, such as Smoothed Particle Hydrodynamic (SPH) and Moving Particle Semi implicit (MPS), the continuum description can also offer accuracy and flexibility comparable to the discrete description. In this study, we propose an MPS Lagrangian numerical method for simulation ice-water dynamics, based on continuum description of both ice and water, considered as non-Newtonian and Newtonian fluids, respectively. To deal with the highly dynamic ice water interactions, the full Navier-Stokes equations, without the commonly used shallow flow assumption, are solved. To predict the non-Newtonian behaviour of the ice continuum, we examine two visco-plastic constitutive laws, i.e., the Standard Visco-Plastic (SVP) and the Herschel–Bulkley (HB). The developed model is validated and evaluated for the case of punch-through test, and ice jam initiation. Comparison with the experimental data shows the accuracy and reliability of the developed model. Keywords:Continuum-based ice modelling, Meshfree Lagrangian modelling, MPS, Visco-plastic constitutive laws.


Year: 2022

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