Articles | Volume 7, issue 6
https://doi.org/10.5194/gmd-7-2951-2014
https://doi.org/10.5194/gmd-7-2951-2014
Development and technical paper
 | 
12 Dec 2014
Development and technical paper |  | 12 Dec 2014

A Lagrangian advection scheme with shape matrix (LASM) for solving advection problems

L. Dong, B. Wang, and L. Liu

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Cited articles

Brunner, D.: Atmospheric chemistry in lagrangian models – overview, in: Lagrangian Modeling of the Atmosphere, edited by: Lin, J. C., Brunner, D., Gerbig, C., Stohl, A., Luchar, A., and Webley, P., Geophysical Monograph Series, vol. 200, American Geophysical Union, 2013.
Diamantakis, M. and Flemming, J.: Global mass fixer algorithms for conservative tracer transport in the ECMWF model, Geosci. Model Dev., 7, 965–979, https://doi.org/10.5194/gmd-7-965-2014, 2014.
Dong, L. and Wang, B.: Trajectory-tracking scheme in Lagrangian form for solving linear advection problems: preliminary tests, Mon. Weather Rev., 140, 650–663, 2012.
Dong, L. and Wang, B.: Trajectory-tracking scheme in Lagrangian form for solving linear advection problems: interface spatial discretization, Mon. Weather Rev., 141, 324–339, 2013.
Gauger, C., Leinen, P., and Yserentant, H.: The finite mass method, SIAM J. Numer. Anal., 37, 1768–1799, 2000.
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Short summary
In this paper we have developed a new Lagrangian advection scheme that describes the shape of discrete parcels by linear deformation matrix. An adaptive interparcel mixing algorithm is also devised to reduce the possible aliasing errors. Several test cases are conducted to validate the new scheme.