Flux coordinates: Difference between revisions
→Gradient, Divergence and Curl in curvilinear coordinates
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=== Gradient, Divergence and Curl in curvilinear coordinates === | === Gradient, Divergence and Curl in curvilinear coordinates === | ||
The gradient of a function f is naturally given in the contravariant | The gradient of a function f is naturally given in the contravariant basis vectors: | ||
:<math> | :<math> | ||
\nabla f = \frac{\partial f}{\partial u^i}\nabla u^i = \frac{\partial f}{\partial u^i}\mathbf{e}^i~. | \nabla f = \frac{\partial f}{\partial u^i}\nabla u^i = \frac{\partial f}{\partial u^i}\mathbf{e}^i~. | ||