| タイトル | Positivity-preserving numerical schemes for multidimensional advection |
| 本文（外部サイト） | http://hdl.handle.net/2060/19930017902 |
| 著者（英） | Leonard, B. P.; Lock, A. P.; Macvean, M. K. |
| 著者所属（英） | NASA Lewis Research Center |
| 発行日 | 1993-03-01 |
| 言語 | eng |
| 内容記述 | This report describes the construction of an explicit, single time-step, conservative, finite-volume method for multidimensional advective flow, based on a uniformly third-order polynomial interpolation algorithm (UTOPIA). Particular attention is paid to the problem of flow-to-grid angle-dependent, anisotropic distortion typical of one-dimensional schemes used component-wise. The third-order multidimensional scheme automatically includes certain cross-difference terms that guarantee good isotropy (and stability). However, above first-order, polynomial-based advection schemes do not preserve positivity (the multidimensional analogue of monotonicity). For this reason, a multidimensional generalization of the first author's universal flux-limiter is sought. This is a very challenging problem. A simple flux-limiter can be found; but this introduces strong anisotropic distortion. A more sophisticated technique, limiting part of the flux and then restoring the isotropy-maintaining cross-terms afterwards, gives more satisfactory results. Test cases are confined to two dimensions; three-dimensional extensions are briefly discussed. |
| NASA分類 | FLUID MECHANICS AND HEAT TRANSFER |
| レポートNO | 93N27091
NASA-TM-106055
ICOMP-93-05
E-7656
NAS 1.15:106055 |
| 権利 | No Copyright |
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