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Flux coordinates: Difference between revisions
→Useful properties of FSA
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</math> | </math> | ||
The FSA relates to the conventional volume integral as | The FSA relates to the conventional volume integral as | ||
*<math> \int_{\mathcal{V}(V_1<V<V_2)} | *<math> \int_{\mathcal{V}(V_1<V<V_2)} f\; d\mathcal{V} = \int_{V_1}^{V_2} \langle f \rangle\; dV | ||
</math> | </math> | ||
whereas the conventional surface integral over a <math>\psi = constant</math> is | whereas the conventional surface integral over a <math>\psi = constant</math> is | ||
*<math> \int_{\psi | *<math> \int_{S(\psi)} f\; dS = \langle f |\nabla V| \rangle | ||
</math> | </math> | ||