Lines Matching refs:u

122 …v}{ c_p - c_v}} \, , \\ e &= c_v \theta(\bm{x},t) \pi(\bm{x},t) + \bm{u}\cdot \bm{u} /2 + g z \, ,…
126 For this problem, we have used no-slip and non-penetration boundary conditions for $\bm{u}$, and no…
385 u &= V'_x + V \sin(\hat x) \cos(\hat y) \sin(\hat z) \\
429 …= 1$ (Specific Gas Constant, $R$, is 1), and $\bm{u}=(u_1,u_2,0)$ while the perturbation $\delta \…
545 …ection-diffusion, which holds density $\rho$ and momentum density $\rho \bm u$ constant while adve…
549 \frac{\partial E}{\partial t} + \nabla \cdot (\bm{u} E ) - \kappa \nabla E = 0 \, ,
552 with $\bm{u}$ the vector velocity field and $\kappa$ the diffusion coefficient.
555 There are three different definitions for $\bm{u}$:
560 …We have solved {eq}`eq-advection` applying zero energy density $E$, and no-flux for $\bm{u}$ on th…
604 …hat{\bm{n}} \,dS = \int_{\partial \Omega_{inflow}} \bm v \, E_{wind} \, \bm u \cdot \widehat{\bm{n…
611 … \widehat{\bm{n}} \,dS = \int_{\partial \Omega_{outflow}} \bm v \, E \, \bm u \cdot \widehat{\bm{n…