Article Type:
Research Article

Momentum Advection and the Gradient of a Vector Field: A Discussion of Standard Notation

Alex J. DeCaria Department of Earth Sciences, Millersville University, Millersville, Pennsylvania

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Todd D. Sikora Department of Earth Sciences, Millersville University, Millersville, Pennsylvania

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Print Publication:
01 Apr 2010
DOI:
https://doi.org/10.1175/2009JAS3393.1
Page(s):
1287–1291
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Abstract

The confusion and ambiguity in the literature regarding the notation (V · ∇)V versus V · ∇V is discussed, and the equivalence of the two expressions is demonstrated. The invariance of this notation in any coordinate system is also shown.

Corresponding author address: Alex J. DeCaria, P.O. Box 1002, Millersville, PA 17551. Email: alex.decaria@millersville.edu

Abstract

The confusion and ambiguity in the literature regarding the notation (V · ∇)V versus V · ∇V is discussed, and the equivalence of the two expressions is demonstrated. The invariance of this notation in any coordinate system is also shown.

Corresponding author address: Alex J. DeCaria, P.O. Box 1002, Millersville, PA 17551. Email: alex.decaria@millersville.edu

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Journal of the Atmospheric Sciences

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