A Lagrangian particle method (called LPM) based on the flow map is presented for tracer transport on the sphere. The particles carry tracer values and are located at the centers and vertices of triangular Lagrangian panels. Remeshing is applied to control particle disorder and two schemes are compared, one using direct tracer interpolation and another using inverse flow map interpolation with sampling of the initial tracer density. Test cases include a moving-vortices flow and reversing-deformational flow with both zero and nonzero divergence, as well as smooth and discontinuous tracers. We examine the accuracy of the computed tracer density and tracer integral, and preservation of nonlinear correlation in a pair of tracers. Here, we compare results obtained using LPM and the Lin–Rood finite-volume scheme. An adaptive particle/panel refinement scheme is demonstrated.
Bosler, Peter Andrew, et al. "A Lagrangian particle method with remeshing for tracer transport on the sphere." Journal of Computational Physics, vol. 340, no. C, Mar. 2017. https://doi.org/10.1016/j.jcp.2017.03.052
Bosler, Peter Andrew, Kent, James, Krasny, Robert, & Jablonowski, Christiane (2017). A Lagrangian particle method with remeshing for tracer transport on the sphere. Journal of Computational Physics, 340(C). https://doi.org/10.1016/j.jcp.2017.03.052
Bosler, Peter Andrew, Kent, James, Krasny, Robert, et al., "A Lagrangian particle method with remeshing for tracer transport on the sphere," Journal of Computational Physics 340, no. C (2017), https://doi.org/10.1016/j.jcp.2017.03.052
@article{osti_1369441,
author = {Bosler, Peter Andrew and Kent, James and Krasny, Robert and Jablonowski, Christiane},
title = {A Lagrangian particle method with remeshing for tracer transport on the sphere},
annote = {A Lagrangian particle method (called LPM) based on the flow map is presented for tracer transport on the sphere. The particles carry tracer values and are located at the centers and vertices of triangular Lagrangian panels. Remeshing is applied to control particle disorder and two schemes are compared, one using direct tracer interpolation and another using inverse flow map interpolation with sampling of the initial tracer density. Test cases include a moving-vortices flow and reversing-deformational flow with both zero and nonzero divergence, as well as smooth and discontinuous tracers. We examine the accuracy of the computed tracer density and tracer integral, and preservation of nonlinear correlation in a pair of tracers. Here, we compare results obtained using LPM and the Lin–Rood finite-volume scheme. An adaptive particle/panel refinement scheme is demonstrated.},
doi = {10.1016/j.jcp.2017.03.052},
url = {https://www.osti.gov/biblio/1369441},
journal = {Journal of Computational Physics},
issn = {ISSN 0021-9991},
number = {C},
volume = {340},
place = {United States},
publisher = {Elsevier},
year = {2017},
month = {03}}