Two Modified Versions of Bott's Positive-Definite Numerical Advection Scheme
Open Access
- 1 January 1993
- journal article
- Published by American Meteorological Society in Monthly Weather Review
- Vol. 121 (1) , 297-304
- https://doi.org/10.1175/1520-0493(1993)121<0297:tmvobp>2.0.co;2
Abstract
Two modified versions of Bott's forward-in-time, positive-definite numerical advection scheme are described. One version is a conservative flux form; the other is a nonconservative advective form. Both versions demonstrate improved stability in tests involving a strongly deformational flow field. The modified versions are identical to Bott's original scheme for cases of uniform fluid density and purely rotational flow. Additional forms of the odd-order versions of the scheme are presented that exhibit lower phase-speed errors than the original odd-order versions.Keywords
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