Turbulent Kinetic Energy Generation#

\(\mathrm{f}_2{\Theta^\prime}{v^\prime}_r\)

2701

production_buoyant_pKE

\(-\mathrm{f}_1{v^\prime_i}{v^\prime_j}\overline{e}_{ij}\)

2702

production_shear2_pKE

\(2\mathrm{f}_1\mathrm{f}_3\left[e^\prime_{ij}e^\prime_{ij}-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v}^\prime\right)^2/3\right]\)

2703

dissipation_viscous_pKE

\(-\boldsymbol{\nabla}\cdot\left(P^\prime\boldsymbol{v}^\prime\right)\)

2704

transport_pressure_pKE

\(\boldsymbol{\nabla}\cdot\left(\boldsymbol{\mathcal{D}}^\prime\cdot\boldsymbol{v}^\prime\right)\)

2705

transport_viscous_pKE

\(-\boldsymbol{\nabla}\cdot\left(\frac{1}{2}\mathrm{f}_1{v^\prime}^2\boldsymbol{v}^\prime\right)\)

2706

transport_turbadvect_pKE

\(-\boldsymbol{\nabla}\cdot\left(\frac{1}{2}\mathrm{f}_1{v^\prime}^2\overline{\boldsymbol{v}}\right)\)

2707

transport_meanadvect_pKE

\(P^\prime{v_r^\prime}\)

2708

rflux_pressure_pKE

\(-\left[\boldsymbol{\mathcal{D}}^\prime\cdot\boldsymbol{v}^\prime\right]_r\)

2709

rflux_viscous_pKE

\(\frac{1}{2}\mathrm{f}_1{v^\prime}^2v_r^\prime\)

2710

rflux_turbadvect_pKE

\(\frac{1}{2}\mathrm{f}_1{v^\prime}^2\overline{v}_r\)

2711

rflux_meanadvect_pKE

\(P^\prime{v_\theta^\prime}\)

2712

thetaflux_pressure_pKE

\(-\left[\boldsymbol{\mathcal{D}}^\prime\cdot\boldsymbol{v}^\prime\right]_\theta\)

2713

thetaflux_viscous_pKE

\(\frac{1}{2}\mathrm{f}_1{v^\prime}^2v_\theta^\prime\)

2714

thetaflux_turbadvect_pKE

\(\frac{1}{2}\mathrm{f}_1{v^\prime}^2\overline{v}_\theta\)

2715

thetaflux_meanadvect_pKE

\(P^\prime{v_\phi^\prime}\)

2716

phiflux_pressure_pKE

\(-\left[\boldsymbol{\mathcal{D}}^\prime\cdot\boldsymbol{v}^\prime\right]_\phi\)

2717

phiflux_viscous_pKE

\(\frac{1}{2}\mathrm{f}_1{v^\prime}^2v_\phi^\prime\)

2718

phiflux_turbadvect_pKE

\(\frac{1}{2}\mathrm{f}_1{v^\prime}^2\overline{v}_\phi\)

2719

phiflux_meanadvect_pKE