204
edits
Flux coordinates: Difference between revisions
→Gradient, Divergence and Curl in curvilinear coordinates
| Line 65: | Line 65: | ||
while the curl is | while the curl is | ||
:<math> | :<math> | ||
\nabla\times\mathbf{A} = \frac{\ | \nabla\times\mathbf{A} = \frac{\varepsilon_{ijk}}{\sqrt{g}}\frac{\partial}{\partial u^i}(\sqrt{g}A_j)\mathbf{e}_k | ||
</math> | </math> | ||
given in temr of the covariant base vectors, where <math>\ | given in temr of the covariant base vectors, where <math>\varepsilon_{ijk}</math> is the [[::Wikipedia:Levi-Civita symbol| Levi-Civita]] symbol. | ||
== Flux coordinates == | == Flux coordinates == | ||