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# An unconditionally stable fully conservative semi-Lagrangian method

@article{Lentine2011AnUS, title={An unconditionally stable fully conservative semi-Lagrangian method}, author={Michael Lentine and Jon Gretarsson and Ronald Fedkiw}, journal={J. Comput. Physics}, year={2011}, volume={230}, pages={2857-2879} }

- Published 2011 in J. Comput. Physics
DOI:10.1016/j.jcp.2010.12.036

Semi-Lagrangian methods have been around for some time, dating back at least to [3]. Researchers have worked to increase their accuracy, and these schemes have gained newfound interest with the recent widespread use of adaptive grids where the CFL-based time step restriction of the smallest cell can be overwhelming. Since these schemes are based on characteristic tracing and interpolation, they do not readily lend themselves to a fully conservative implementation. However, we propose a novel… CONTINUE READING

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