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An accurate time advancement algorithm for particle tracking
- Source :
-
Journal of Computational Physics . Oct2008, Vol. 227 Issue 20, p8792-8806. 15p. - Publication Year :
- 2008
-
Abstract
- Abstract: We describe a particle position time advancement algorithm that is designed for use with several subgrid velocity reconstruction schemes used in LES/FDF methods, and potentially in other applications. These reconstruction schemes yield a subgrid velocity field with desirable divergence properties, but also with discontinuities across cell faces. Therefore, a conventional time advancement algorithm, such as second-order Runge–Kutta (RK2), does not perform as well as it does with a smooth velocity field. The algorithm that we describe, called Multi-Step RK2 (MRK2), builds upon RK2 by breaking up the time step into two or more substeps whenever a particle crosses one or more velocity discontinuities. When used in conjunction with the parabolic edge reconstruction method, MRK2 performs considerably better than RK2: both the final position of an advected particle, and the final area of a 2D infinitesimal area element are second-order accurate in time (as opposed to first-order accurate for RK2). Furthermore, MRK2 has the theoretical advantage that it better preserves the continuity of the mapping between initial and final particle positions. [Copyright &y& Elsevier]
- Subjects :
- *ALGORITHMS
*SPEED
*DIFFERENCES
*DENSITY
Subjects
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 227
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 34082787
- Full Text :
- https://doi.org/10.1016/j.jcp.2008.06.021