Momentum Equation ==================================================================== =============================================================================================================================== ====== ========================== :math:`\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_r` 1201 v\_grad\_v\_r :math:`\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_\theta` 1202 v\_grad\_v\_theta :math:`\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_\phi` 1203 v\_grad\_v\_phi :math:`\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_r` 1204 vp\_grad\_vm\_r :math:`\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\theta` 1205 vp\_grad\_vm\_theta :math:`\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi` 1206 vp\_grad\_vm\_phi :math:`\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_r` 1207 vm\_grad\_vp\_r :math:`\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\theta` 1208 vm\_grad\_vp\_theta :math:`\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi` 1209 vm\_grad\_vp\_phi :math:`\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_r` 1210 vp\_grad\_vp\_r :math:`\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\theta` 1211 vp\_grad\_vp\_theta :math:`\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi` 1212 vp\_grad\_vp\_phi :math:`\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_r` 1213 vm\_grad\_vm\_r :math:`\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\theta` 1214 vm\_grad\_vm\_theta :math:`\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi` 1215 vm\_grad\_vm\_phi :math:`c_2\mathrm{f}_2\Theta` 1216 buoyancy\_force :math:`c_2\mathrm{f}_2\Theta'` 1217 buoyancy\_pforce :math:`c_2\mathrm{f}_2\overline{\Theta}` 1218 buoyancy\_mforce :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\boldsymbol{v}\right]_r` 1219 Coriolis\_Force\_r :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\boldsymbol{v}\right]_\theta` 1220 Coriolis\_Force\_theta :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\boldsymbol{v}\right]_\phi` 1221 Coriolis\_Force\_phi :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\boldsymbol{v'}\right]_r` 1222 Coriolis\_pForce\_r :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\boldsymbol{v'}\right]_\theta` 1223 Coriolis\_pForce\_theta :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\boldsymbol{v'}\right]_\phi` 1224 Coriolis\_pForce\_phi :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\overline{\boldsymbol{v}}\right]_r` 1225 Coriolis\_mForce\_r :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\overline{\boldsymbol{v}}\right]_\theta` 1226 Coriolis\_mForce\_theta :math:`-c_1\mathrm{f}_1\left[\boldsymbol{\hat{z}}\times\overline{\boldsymbol{v}}\right]_\phi` 1227 Coriolis\_mForce\_phi :math:`c_5\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D}}\right]_r` 1228 viscous\_Force\_r :math:`c_5\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D}}\right]_\theta` 1229 viscous\_Force\_theta :math:`c_5\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D}}\right]_\phi` 1230 viscous\_Force\_phi :math:`c_5\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D'}}\right]_r` 1231 viscous\_pForce\_r :math:`c_5\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D'}}\right]_\theta` 1232 viscous\_pForce\_theta :math:`c_5\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D'}}\right]_\phi` 1233 viscous\_pForce\_phi :math:`c_5\left[\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal{D}}}\right]_r` 1234 viscous\_mForce\_r :math:`c_5\left[\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal{D}}}\right]_\theta` 1235 viscous\_mForce\_theta :math:`c_5\left[\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal{D}}}\right]_\phi` 1236 viscous\_mForce\_phi :math:`-c_3\mathrm{f}_1\frac{\partial}{\partial r}\left(\frac{P}{\mathrm{f}_1} \right)` 1237 pressure\_Force\_r :math:`-c_3\frac{1}{r}\frac{\partial P}{\partial \theta}` 1238 pressure\_Force\_theta :math:`-c_3\frac{1}{r\mathrm{sin}\theta}\frac{\partial P}{\partial \phi}` 1239 pressure\_Force\_phi :math:`-c_3\mathrm{f}_1\frac{\partial}{\partial r}\left(\frac{P'}{\mathrm{f}_1} \right)` 1240 pressure\_pForce\_r :math:`-c_3\frac{1}{r}\frac{\partial P'}{\partial \theta}` 1241 pressure\_pForce\_theta :math:`-c_3\frac{1}{r\mathrm{sin}\theta}\frac{\partial P'}{\partial \phi}` 1242 pressure\_pForce\_phi :math:`-c_3\mathrm{f}_1\frac{\partial}{\partial r}\left(\frac{\overline{P}}{\mathrm{f}_1} \right)` 1243 pressure\_mForce\_r :math:`-c_3\frac{1}{r}\frac{\partial \overline{P}}{\partial \theta}` 1244 pressure\_mForce\_theta :math:`-c_3\frac{1}{r\mathrm{sin}\theta}\frac{\partial \overline{P}}{\partial \phi}` 1245 pressure\_mForce\_phi :math:`c_2\mathrm{f}_2\Theta_{00}` 1246 buoyancy\_force\_ell0 :math:`-c_3\mathrm{f}_1\frac{\partial}{\partial r}\left(\frac{P_{00}}{\mathrm{f}_1} \right)` 1247 pressure\_force\_ell0\_r :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B}\right)\times\boldsymbol{B}\right]_r` 1248 j\_cross\_b\_r :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B}\right)\times\boldsymbol{B}\right]_\theta` 1249 j\_cross\_b\_theta :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B}\right)\times\boldsymbol{B}\right]_\phi` 1250 j\_cross\_b\_phi :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\overline{\boldsymbol{B}}\right]_r` 1251 jp\_cross\_bm\_r :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\overline{\boldsymbol{B}}\right]_\theta` 1252 jp\_cross\_bm\_theta :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\overline{\boldsymbol{B}}\right]_\phi` 1253 jp\_cross\_bm\_phi :math:`c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\boldsymbol{B'}\right]_r` 1254 jm\_cross\_bp\_r :math:`c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\boldsymbol{B'}\right]_\theta` 1255 jm\_cross\_bp\_theta :math:`c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\boldsymbol{B'}\right]_\phi` 1256 jm\_cross\_bp\_phi :math:`c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\overline{\boldsymbol{B}}\right]_r` 1257 jm\_cross\_bm\_r :math:`c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\overline{\boldsymbol{B}}\right]_\theta` 1258 jm\_cross\_bm\_theta :math:`c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\overline{\boldsymbol{B}}\right]_\phi` 1259 jm\_cross\_bm\_phi :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_r` 1260 jp\_cross\_bp\_r :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\theta` 1261 jp\_cross\_bp\_theta :math:`c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\phi` 1262 jp\_cross\_bp\_phi =============================================================================================================================== ====== ==========================