Reducing noise in moving-grid codes with strongly-centroidal Lloyd mesh regularization
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Reducing noise in moving.pdf
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Author(s)
Mocz, Philip
Vogelsberger, Mark
Pakmor, Rüdiger
Genel, Shy
Springel, Volker
Hernquist, Lars
Date Issued
October 2015
Journal
Monthly Notices of the Royal Astronomical Society
Publisher
Oxford University Press
Citation
Mocz, Philip; Vogelsberger, Mark; Pakmor, Rüdiger; Genel, Shy; Springel, Volker and Hernquist, Lars. “Reducing Noise in Moving-Grid Codes with Strongly-Centroidal Lloyd Mesh Regularization.” Monthly Notices of the Royal Astronomical Society 452, no. 4 (August 6, 2015): 3853–3862.
Version
Original manuscript
Abstract
A method for improving the accuracy of hydrodynamical codes that use a moving Voronoi mesh is described. Our scheme is based on a new regularization scheme that constrains the mesh to be centroidal to high precision while still allowing the cells to move approximately with the local fluid velocity, thereby retaining the quasi-Lagrangian nature of the approach. Our regularization technique significantly reduces mesh noise that is attributed to changes in mesh topology and deviations from mesh regularity. We demonstrate the advantages of our method on various test problems, and note in particular improvements obtained in handling shear instabilities, mixing, and in angular momentum conservation. Calculations of adiabatic jets in which shear excites Kelvin–Helmholtz instability show reduction of mesh noise and entropy generation. In contrast, simulations of the collapse and formation of an isolated disc galaxy are nearly unaffected, showing that numerical errors due to the choice of regularization do not impact the outcome in this case.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1093/mnras/stv1598
