Lines Matching refs:y

12 \rho &= \rho_\infty\left(1+A\exp\left(\frac{-(\bar{x}^2 + \bar{y}^2)}{2\sigma^2}\right)\right) \\
14 E &= \frac{p_\infty}{\gamma -1}\left(1+A\exp\left(\frac{-(\bar{x}^2 + \bar{y}^2)}{2\sigma^2}\right)…
18 …ude and width of the perturbation, respectively, and $(\bar{x}, \bar{y}) = (x-x_e, y-y_e)$ is the …
21 The boundary conditions are freestream in the x and y directions. When using an HLL (Harten, Lax, v…
63 …$ is centered at $(0,0)$ in a computational domain $-4.5 \leq x \leq 15.5$, $-4.5 \leq y \leq 4.5$.
68 A symmetry (adiabatic free slip) condition is imposed at the top and bottom boundaries $(y = \pm 4.…
291   - Path to file with y node locations. If empty, will use mesh warping instead.
385 u &= V'_x + V \sin(\hat x) \cos(\hat y) \sin(\hat z) \\
386 v &= V'_y - V \cos(\hat x) \sin(\hat y) \sin(\hat z) \\
388 p &= p_0 + \frac{\rho_0 V_0^2}{16} \left ( \cos(2 \hat x) + \cos(2 \hat y)\right) \left( \cos(2 \ha…
394 The coordinate modification is done to transform a given grid onto a domain of $x,y,z \in [0, 2\pi)…
432 \begin{aligned} (\delta u_1, \, \delta u_2) &= \frac{\epsilon}{2 \pi} \, e^{0.5(1-r^2)} \, (-\bar{y…
435 where $(\bar{x}, \, \bar{y}) = (x-x_c, \, y-y_c)$, $(x_c, \, y_c)$ represents the center of the dom…
568   This case has a linear velocity profile with only the y component set: $u_y = y / L_y$.
569   It starts at 0 for $y=0$ and then increases to 1 at the top of the domain.
578 …er is whether the radius is applied in all 3 dimensions (sphere) or just in the x and y directions.
599 …This initial condition features a linear profile in the y direction up to a height set by the user.