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The propagation of the gravity current of Bingham fluid : a numerical investigation Liu, Ye


We have studied the propagation of 2D unit block of viscoplastic fluid of Bingham type over a horizontal plane, underneath another Newtonian fluid. We numerically simulate the dynamics of a two-layer fluid in a rectangle domain, using the volume-of-fluid method to deal with the evolution of the interface, and regularization scheme of the constitutive law, which replaces unyielded plugs with very viscous flow. We explore the final shape of the flow for varying yield stress, comparing the numerical results with the predictions of the asymptotic theory, a plasticity model based on slipline theory, and other past results. Numerical difficulties with the moving contact lines are encountered during the numerical simulation. A slip boundary condition is used to address this issue, the validity of which should be further investigated.

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