Eulerian Scalar Projection in Lagrangian Point Source Context: An Approximate Inverse Filtering Approach

Abstract : In many simulations of flows transporting a discrete phase (droplets or particles), point sources are followed numerically in the Lagrangian context over an Eulerian mesh storing the continuous phase variables. The projection of the properties of the moving sources over the Eulerian nodes requires interpolations, which may drastically reduce the overall accuracy of the algorithm and alter the flow physics. From the analytical solution of a scalar field downstream of a source, it is shown that the widely used Lagrange/Euler projection, constructed from the regressive normalized distance between the point source position and the nodes cell, provides results very close to an approximate Gaussian filtering of the exact solution. Then, an approximate deconvolution is discussed to allow for better estimating the Eulerian scalar field.
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Contributor : Alexandre Poux <>
Submitted on : Thursday, October 5, 2017 - 3:36:46 PM
Last modification on : Thursday, February 7, 2019 - 5:50:59 PM

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Carlo Locci, Luc Vervisch. Eulerian Scalar Projection in Lagrangian Point Source Context: An Approximate Inverse Filtering Approach. Flow, Turbulence and Combustion, Springer Verlag (Germany), 2016, 97 (1), pp.363-368. ⟨10.1007/s10494-015-9688-z⟩. ⟨hal-01611241⟩

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