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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 BPI Seminar Series series.

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