Lines Matching refs:g

28 …3 \times 3$ identity matrix, $\bm{b}$ is a body force vector (e.g., gravity vector $\bm{g}$),  $k$…
105 …t represents contraction in just one, which should be clear from context, e.g., $\bm v \cdot \bm S…
143   \bm f(\bm q_N) \equiv \bm g(t^{n+1}, \bm{q}_N, \bm{\dot{q}}_N) = 0 \, ,
157 …tial \bm f}{\partial \bm q_N} = \frac{\partial \bm g}{\partial \bm q_N} + \alpha \frac{\partial \b…
266 \tau_c &= \frac{C_c \mathcal{F}}{8\rho \trace(\bm g)} \\
274 + \bm u \cdot (\bm u \cdot  \bm g)\right]
275 + C_v \mu^2 \Vert \bm g \Vert_F ^2}
278 where $\bm g = \nabla_{\bm x} \bm{X}^T \cdot \nabla_{\bm x} \bm{X}$ is the metric tensor and $\Vert…
285 + \frac{\bm u \cdot (\bm u \cdot  \bm g)}{C_a}
286 + \frac{\kappa^2 \Vert \bm g \Vert_F ^2}{C_d} \right]^{-1/2}
299 The complete set of eigenvalues of the Euler flux Jacobian in direction $i$ are (e.g., {cite}`toro2…
468 … width tensor is most conveniently defined by $\bm{\Delta} = \bm{g}^{-1/2}$ where $\bm g = \nabla_…
667 …}} \, , \\ e &= c_v \theta(\bm{x},t) \pi(\bm{x},t) + \bm{u}\cdot \bm{u} /2 + g z \, , \end{aligned}