Lines Matching refs:tau

182 …\tcolon\left(\frac{\partial \bm F_{\text{adv}}}{\partial \bm q}\right) \bm\tau \left( \frac{\parti…
199 …\tcolon\left(\frac{\partial \bm F_{\text{adv}}}{\partial \bm q}\right) \bm\tau \nabla \cdot \bm{F}…
206 In both {eq}`eq-weak-vector-ns-su` and {eq}`eq-weak-vector-ns-supg`, $\bm\tau \in \mathbb R^{5\time…
207 …plained via an ansatz for subgrid state fluctuations $\tilde{\bm q} = -\bm\tau \bm r$ where $\bm r…
223 :::{dropdown} Stabilization scale $\bm\tau$
242 \tau = \frac{\xi(\mathrm{Pe})}{\lVert \bm u_{\bm X} \rVert},
243 $$ (eq-tau-advdiff)
246 Note that $\tau$ has units of time and, in the transport-dominated limit, is proportional to elemen…
250 \nabla v \cdot \bm u \tau \bm u \cdot \nabla q = \nabla_{\bm X} v \cdot (\bm u_{\bm X} \tau \bm u_{…
284 \tau = \left [ \left(\frac{2 C_t}{\Delta t}\right)^2
294 \tau_{ii} = c_{\tau} \frac{2 \xi(\mathrm{Pe})}{(\lambda_{\max \text{abs}})_i \lVert \nabla_{x_i} \b…
295 $$ (eq-tau-conservative)
297 where $c_{\tau}$ is a multiplicative constant reported to be optimal at 0.5 for linear elements, $\…
493 where $y^+$ is the wall-friction scaled wall-distance ($y^+ = y u_\tau / \nu = y/\delta_\nu$), $A^+…