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Improved Calculus`VectorAnalysis`
Author

Benny Lautrup
Organization: University of Copenhagen
Department: The Niels Bohr Institute
URL: http://www.lautrup.nbi.dk
Revision date

2005-01-21
Description

An improved version (2.2) of the package "Calculus`VectorAnalysis`". The function Grad is extended to handle vectors (as the left gradient) and Div is extended to handle tensors. The correct backwards functionality of the package is secured, except for the erroneous handling of the Grad of a vector in the original version 2.1. With these improvements, the Laplacian of a vector field may now be correctly evaluated as Div[Grad[v]]. The same is the case for the inertial acceleration v.Grad[v] used in fluid mechanics.
Subjects

*Mathematics > Calculus and Analysis > Calculus
*Science > Physics > Fluid Mechanics
Keywords

Gradient, divergence, Laplacian
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Download
vectoranalysis.pdf (62.7 KB) - PDF Document
Download
VectorAnalysis.m (36.4 KB) - Mathematica Package
Download
test.nb (10.4 KB) - Mathematica Notebook