Lines Matching refs:direction

227 …bm X} \rVert$ is a covariant measure of (half) the element length in the direction of the velocity.
228 A contravariant measure of element length in the direction of a unit vector $\hat{\bm n}$ is given …
246 …ansport-dominated limit, is proportional to element transit time in the direction of the propagati…
297 …n}_i$ is a unit vector in direction $i$, and $\nabla_{x_i} = \hat{\bm n}_i \cdot \nabla_{\bm x}$ i…
298 …artial \bm F_{\text{adv}}}{\partial \bm q} \cdot \hat{\bm n}_i$ in each direction $i$ is a $5\time…
299 The complete set of eigenvalues of the Euler flux Jacobian in direction $i$ are (e.g., {cite}`toro2…
305 where $u_i = \bm u \cdot \hat{\bm n}_i$ is the velocity component in direction $i$ and $a = \sqrt{\…
307 The fastest wave speed in direction $i$ is thus
322 To make this process more computationally efficient, averaging in the spanwise direction, if physic…
325 …olds average of $\phi$, which in this case would be a average over the spanwise direction and time:
331 where $z$ is the spanwise direction, the domain has size $[0, L_z]$ in the spanwise direction, and …
332 Note that here and in the code, **we assume the spanwise direction to be in the $z$ direction**.
372 …y, **we assume and exploit the full domain grid to be a tensor product in the spanwise direction**.
500 …ently assumed that the second component of the filter width tensor is in the wall-normal direction.
600 …K}$ is a length scale that is proportional to the element length in the direction of the density g…
638 We solve this as a 3D problem with (default) one element in the $z$ direction.
684 Boundary conditions are periodic in the streamwise direction, and no-slip and non-penetration bound…
920 where $\hat x = 2 \pi x / L$ for $L$ the length of the domain in that specific direction.