Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

An advection scheme based on the combination of particle mesh method and pure Lagrangian approach

An advection scheme based on the combination of particle mesh method and pure Lagrangian approach Abstract Possibility of using pure Lagrangian approach in modeling transport phenomena is described in this paper. The application of pure Lagrangian approach in real atmospheric field induces highly irregular spatial distribution of grid points, after only a few time steps. In order to avoid problems caused by that irregularity, a quasi interpolation procedure is proposed. Proposed interpolation procedure is similar to the radial basis functions interpolation and does not impose any demands about spatial distribution of the grid points or about continuity and differentiability of the field that needs to be interpolated. Besides that, proposed procedure is explicitly mass conserving. Combination of particle mesh method and pure Lagrangian approach creates efficient transport scheme that does not produce any new local maxima and minima in advected field. In proposed advection scheme motion of points are performed in Lagrangian manner while spatial derivatives are evaluated on the basis of values interpolated onto regular grid. Applicability of proposed advection scheme in an unambiguous way is proved by performing “standard” numerical tests with (i) the slotted cylinder under solid body rotation, (ii) the test with Doswell’s idealized cyclogenesis as well as (iii) integration of shallow water equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Asia-Pacific Journal of Atmospheric Sciences" Springer Journals

An advection scheme based on the combination of particle mesh method and pure Lagrangian approach

Loading next page...
 
/lp/springer-journals/an-advection-scheme-based-on-the-combination-of-particle-mesh-method-9sY4iPqbh0

References (27)

Publisher
Springer Journals
Copyright
2011 Korean Meteorological Society and Springer Netherlands
ISSN
1976-7633
eISSN
1976-7951
DOI
10.1007/s13143-011-0028-5
Publisher site
See Article on Publisher Site

Abstract

Abstract Possibility of using pure Lagrangian approach in modeling transport phenomena is described in this paper. The application of pure Lagrangian approach in real atmospheric field induces highly irregular spatial distribution of grid points, after only a few time steps. In order to avoid problems caused by that irregularity, a quasi interpolation procedure is proposed. Proposed interpolation procedure is similar to the radial basis functions interpolation and does not impose any demands about spatial distribution of the grid points or about continuity and differentiability of the field that needs to be interpolated. Besides that, proposed procedure is explicitly mass conserving. Combination of particle mesh method and pure Lagrangian approach creates efficient transport scheme that does not produce any new local maxima and minima in advected field. In proposed advection scheme motion of points are performed in Lagrangian manner while spatial derivatives are evaluated on the basis of values interpolated onto regular grid. Applicability of proposed advection scheme in an unambiguous way is proved by performing “standard” numerical tests with (i) the slotted cylinder under solid body rotation, (ii) the test with Doswell’s idealized cyclogenesis as well as (iii) integration of shallow water equations.

Journal

"Asia-Pacific Journal of Atmospheric Sciences"Springer Journals

Published: Nov 1, 2011

There are no references for this article.