Lines Matching refs:velocity

28 … density (defined as $\bm{U}=\rho \bm{u}$, where $\bm{u}$ is the vector velocity field), $E$ the t…
224 A velocity vector $\bm u$ can be pulled back to the reference element as $\bm u_{\bm X} = \nabla_{\…
226 So a small normal component of velocity will be amplified (by a factor of the aspect ratio $1/\epsi…
227 …bm X} \rVert$ is a covariant measure of (half) the element length in the direction of the velocity.
305 where $u_i = \bm u \cdot \hat{\bm n}_i$ is the velocity component in direction $i$ and $a = \sqrt{\…
318 {ref}`problem-advection`, the problem of the transport of energy in a uniform vector velocity field…
528 with $\bm{u}$ the vector velocity field and $\kappa$ the diffusion coefficient.
533   In this case, a uniform circular velocity field transports the blob of total energy.
538 …In this case, a background wind with a constant rectilinear velocity field, enters the domain and …
580 …r section and $P=0.1$, $\rho=0.125$ for the driven section. The initial velocity is zero in both s…
588 …st formulation described in {cite}`tezduyar2007yzb`. The characteristic velocity $u_{cha}$ is take…
630 … a strong acoustic wave and leaves behind a cold thermal bubble that advects at the fluid velocity.
633 …r constant-pressure wave that transports temperature and transverse momentum at the fluid velocity.
639 The domain is filled with an ideal gas at rest (zero velocity) with temperature 24.92 and pressure …
641 …and Riemann-type outflow on the right, with exterior reference state at velocity $(1, 0, 0)$ givin…
642 …s imposed at the top and bottom boundaries $(y = \pm 4.5)$ (zero normal velocity component, zero h…
659 where $\rho_\infty, u_\infty$ are the freestream (inflow) density and velocity respectively.
682 where $H$ is the channel half-height, $u_{\max}$ is the center velocity, $T_w$ is the temperature a…
694 the velocity is prescribed by the Blasius soution profile, density is set
733 tensor $\bm{C}$ (such that $\bm{R} = \bm{CC}^T$ ), bulk velocity $U_0$,
775 it weakly enforces velocity, with the option of weakly enforcing either density
924 The reference state is selected using the `-reference_{velocity,pressure,temperature}` flags (Eucli…