Lines Matching refs:sigma

14 … \nabla \cdot \left( \frac{\bm{U} \otimes \bm{U}}{\rho} + P \bm{I}_3 -\bm\sigma \right) - \rho \bm…
15 …al t} + \nabla \cdot \left( \frac{(E + P)\bm{U}}{\rho} -\bm{u} \cdot \bm{\sigma} - k \nabla T \rig…
19 where $\bm{\sigma} = \mu(\nabla \bm{u} + (\nabla \bm{u})^T + \lambda (\nabla \cdot \bm{u})\bm{I}_3)…
62 -  \bm{\sigma} \\
63  - \bm{u}  \cdot \bm{\sigma} - k \nabla T
342 This term requires a second derivative to evaluate; first to evaluate $\bm \sigma$ and $\nabla T$ f…
520 \bm{v}' &= 2 \sqrt{3/2} \sum^N_{n=1} \sqrt{q^n(\bm{x})} \bm{\sigma}^n \cos(\kappa^n \bm{d}^n \cdot …
525 Here, we define the number of wavemodes $N$, set of random numbers $ \{\bm{\sigma}^n, \bm{d}^n, \ph…
622 The `STGRand.dat` file is the table of the random number set, $\{\bm{\sigma}^n, \bm{d}^n, \phi^n\}_…
633 | $ \{\bm{\sigma}^n, \bm{d}^n, \phi^n\}_{n=1}^N$ | RN Set   | No             | Yes       |
719 S(\bm{q}) = -\sigma(\bm{x})\left.\frac{\partial \bm{q}}{\partial \bm{Y}}\right\rvert_{\bm{q}} \bm{Y…
722 where $\bm{Y}' = [P - P_\mathrm{ref}, \bm{0}, 0]^T$, and $\sigma(\bm{x})$ is a linear ramp starting…