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Second order velocity structure function

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Old   January 14, 2023, 15:53
Default Second order velocity structure function
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Dear Foamers,
I am struggling to find a way through which I could calculate Second order velocity structure function:
F_2(\mathbf{x}, \Delta c)=\frac{1}{6} \sum_{i=1}^3\left[\left\|\mathbf{u}(\mathbf{x})-\mathbf{u}\left(\mathbf{x}+\Delta x_i \mathbf{e}_i\right)\right\|^2+\left\|\mathbf{u}(\mathbf{x})-\mathbf{u}\left(\mathbf{x}-\Delta x_i \mathbf{e}_i\right)\right\|^2\right]\left(\frac{\Delta c}{\Delta x_i}\right)^{2 / 3}
I dont have any idea how to implement for an unstructured grid

Last edited by Mhmd; January 16, 2023 at 04:16.
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