A Lagrangian particle method with remeshing for tracer transport on the sphere
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 movingvortices flow and reversingdeformational 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 finitevolume scheme. An adaptive particle/panel refinement scheme is demonstrated.
 Authors:

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 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Univ. of South Wales, Pontypridd (United Kingdom)
 Univ. of Michigan, Ann Arbor, MI (United States)
 Publication Date:
 Report Number(s):
 SAND20156438J
Journal ID: ISSN 00219991; 598993
 Grant/Contract Number:
 AC0494AL85000
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Computational Physics
 Additional Journal Information:
 Journal Volume: 340; Journal Issue: C; Journal ID: ISSN 00219991
 Publisher:
 Elsevier
 Research Org:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICS AND COMPUTING; tracer transport; Lagrangian particle method; flow map; remeshing; adaptive refinement
 OSTI Identifier:
 1369441
Bosler, Peter Andrew, Kent, James, Krasny, Robert, and Jablonowski, Christiane. A Lagrangian particle method with remeshing for tracer transport on the sphere. United States: N. p.,
Web. doi:10.1016/j.jcp.2017.03.052.
Bosler, Peter Andrew, Kent, James, Krasny, Robert, & Jablonowski, Christiane. A Lagrangian particle method with remeshing for tracer transport on the sphere. United States. doi:10.1016/j.jcp.2017.03.052.
Bosler, Peter Andrew, Kent, James, Krasny, Robert, and Jablonowski, Christiane. 2017.
"A Lagrangian particle method with remeshing for tracer transport on the sphere". United States.
doi:10.1016/j.jcp.2017.03.052. https://www.osti.gov/servlets/purl/1369441.
@article{osti_1369441,
title = {A Lagrangian particle method with remeshing for tracer transport on the sphere},
author = {Bosler, Peter Andrew and Kent, James and Krasny, Robert and Jablonowski, Christiane},
abstractNote = {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 movingvortices flow and reversingdeformational 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 finitevolume scheme. An adaptive particle/panel refinement scheme is demonstrated.},
doi = {10.1016/j.jcp.2017.03.052},
journal = {Journal of Computational Physics},
number = C,
volume = 340,
place = {United States},
year = {2017},
month = {3}
}