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A high-order and conservative particle-mesh algorithm for advection-dominated flows

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This talk presents a particle-mesh strategy for advection-dominated problems which provides diffusion-free advection, conserves mass locally (i.e. cellwise) and exhibits optimal convergence on arbitrary polyhedral meshes. This is achieved by expressing the convective fields naturally located on the Lagrangian particles as a mesh quantity by formulating a dedicated particle-mesh projection based on a PDE -constrained optimization problem. The attractive properties of the scheme are demonstrated for a number of benchmark tests, and the scheme is applied to mass conservative density tracking in multiphase flows.

This talk is part of the Seminars for the Centre for Environmental and Industrial Flows series.

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