This study deals with the development of a hybrid numerical modelling technique by utilising a single/ multi-layered Finite Volume framework for granular media and Incompressible Smoothed Particle Hydrodynamics for fluid. The approach helps to reduce the computational cost arising from the three-dimensional granular media, especially due to the rheological model and also includes the effects of fluid movement on granular dynamics in full-scale form.
In this work, a quasi-three-dimensional flow model has been developed with the consideration of the spatiotemporal flexibility/variability of the pervious vertical discretisation/layer ratios. The vertical layering provides a non-uniform grid with temporal variation. The system of equations thus formulated comprises a conservative part and the appended source/sink terms. These source/sink terms pertain to the inter-layer interactions, such as mass/momenta transfer and interfacial stress, which have been treated in a novel implicit form along with the subgrid-scale eddy-viscosity for interlayer shear.
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In this study, a coupled approach to modelling various stages of waves generated by different types of landslides (e.g., subaerial to submerged) through divergence-free incompressible smoothed particle hydrodynamics (ISPH) is developed. In this approach, coexisting fluid and granular modules interact with each other through an interaction force pair, which necessitates the accurate transfer of information related to the fluid stress tensor and velocity vectors of the complementary module
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The present study aims to formulate a robust two-dimensional coupled depth-averaged framework for simulation of submarine deformation of non-cohesive granular media and the corresponding effect on water and the otherwise. The unified framework consisting of a conditional hyperbolic set of partial differential equations has been conceptualised as two concurrent yet independent systems interacting through source/sink terms consisting of drag force, shear and water-surface gradient.”
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In this work, a variable-density multilayered shallow water model is developed to simulate the gravity current dynamics. The heavier and ambient fluids are considered to be immiscible, and an additional solution of the scalar transport equation provides the extent of the heavier front, whereas the continuity and momentum equations resolve the velocity and the pressure. The model is validated against a set of lock exchange experimental scenarios and the spreading of an oil spill over the water surface.
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