Lines Matching refs:P

14 \frac{\partial \bm{U}}{\partial t} + \nabla \cdot \left( \frac{\bm{U} \otimes \bm{U}}{\rho} + P \bm…
15 \frac{\partial E}{\partial t} + \nabla \cdot \left( \frac{(E + P)\bm{U}}{\rho} -\bm{u} \cdot \bm{\s…
20 …$k$ the thermal conductivity constant, $T$ represents the temperature, and $P$ the pressure, given…
23 P = \left( {c_p}/{c_v} -1\right) \left( E - {\bm{U}\cdot\bm{U}}/{(2 \rho)} \right) \, ,
57     {(\bm{U} \otimes \bm{U})}/{\rho} + P \bm{I}_3 \\
58     {(E + P)\bm{U}}/{\rho}
79 \bm{q}_N (\bm{x},t)^{(e)} = \sum_{k=1}^{P}\psi_k (\bm{x})\bm{q}_k^{(e)}
82 with $P=p+1$ the number of nodes in the element $e$.
173 Galerkin methods produce oscillations for transport-dominated problems (any time the cell Péclet nu…
219 …bm U + \bm U \otimes \diff\bm U)/\rho - (\bm U \otimes \bm U)/\rho^2 \diff\rho + \diff P \bm I_3 \\
220 (E + P)\diff\bm U/\rho + (\diff E + \diff P)\bm U/\rho - (E + P) \bm U/\rho^2 \diff\rho
225 where $\diff P$ is defined by differentiating {eq}`eq-state`.
236 The cell Péclet number is classically defined by $\mathrm{Pe}_h = \lVert \bm u \rVert h / (2 \kappa…
237 This can be generalized to arbitrary grids by defining the local Péclet number
249 where $\xi(\mathrm{Pe}) = \coth \mathrm{Pe} - 1/\mathrm{Pe}$ approaches 1 at large local Péclet num…
324 …{\bm n}_i$ is the velocity component in direction $i$ and $a = \sqrt{\gamma P/\rho}$ is the sound …
722 where $\bm{Y}' = [P - P_\mathrm{ref}, \bm{0}, 0]^T$, and $\sigma(\bm{x})$ is a linear ramp starting…