Lines Matching refs:E

23 \frac{\partial E}{\partial t} + \nabla \cdot \left( \frac{(E + P)\bm{U}}{\rho} -\bm{u} \cdot \bm{\s…
28 …bm{u}$, where $\bm{u}$ is the vector velocity field), $E$ the total energy density (defined as $E …
31 P = \left( {c_p}/{c_v} -1\right) \left( E - {\bm{U}\cdot\bm{U}}/{(2 \rho)} \right) \, ,
45 …rix}            \rho \\            \bm{U} \equiv \rho \bm{ u }\\            E \equiv \rho e       …
56     {(E + P)\bm{U}}/{\rho}
216 (E + P)\diff\bm U/\rho + (\diff E + \diff P)\bm U/\rho - (E + P) \bm U/\rho^2 \diff\rho
525 \frac{\partial E}{\partial t} + \nabla \cdot (\bm{u} E ) - \kappa \nabla E = 0 \, ,
534 …We have solved {eq}`eq-advection` applying zero energy density $E$, and no-flux for $\bm{u}$ on th…
546 …For the outflow boundary conditions, we have used the current values of $E$, following {cite}`papa…
550 …_N) \cdot \widehat{\bm{n}} \,dS = \int_{\partial \Omega_{outflow}} \bm v \, E \, \bm u \cdot \wide…
563 \frac{\partial E}{\partial t} + \nabla \cdot \left( \frac{(E + P)\bm{U}}{\rho} \right) &= 0 \, , \\
625 E &= \frac{p_\infty}{\gamma -1}\left(1+A\exp\left(\frac{-(\bar{x}^2 + \bar{y}^2)}{2\sigma^2}\right)…
679 $$T = T_w \left [ 1 + \frac{Pr \hat{E}c}{3} \left \{1 - \left(\frac{x_2}{H}\right)^4  \right \} \ri…
751 The wavemode amplitudes $q^n$ are defined by a model energy spectrum $E(\kappa)$:
754 q^n = \frac{E(\kappa^n) \Delta \kappa^n}{\sum^N_{n=1} E(\kappa^n)\Delta \kappa^n} \ ,\quad \Delta \…
757 $$ E(\kappa) = \frac{(\kappa/\kappa_e)^4}{[1 + 2.4(\kappa/\kappa_e)^2]^{17/6}} f_\eta f_{\mathrm{cu…