Vorticity#

\(\omega_r\)

301

vort_r

\(\omega_\theta\)

302

vort_theta

\(\omega_\phi\)

303

vort_phi

\(\omega_r^\prime\)

304

vortp_r

\(\omega_\theta^\prime\)

305

vortp_theta

\(\omega_\phi^\prime\)

306

vortp_phi

\(\overline{\omega_r}\)

307

vortm_r

\(\overline{\omega_\theta}\)

308

vortm_theta

\(\overline{\omega_\phi}\)

309

vortm_phi

\({\boldsymbol \omega}\cdot{\boldsymbol\omega}\)

310

enstrophy

\({\boldsymbol \omega^\prime}\cdot \overline{{\boldsymbol\omega} }\)

311

enstrophy_pm

\(\overline{\boldsymbol \omega}\cdot \overline{{\boldsymbol\omega} }\)

312

enstrophy_mm

\({\boldsymbol \omega^\prime}\cdot {\boldsymbol \omega^\prime}\)

313

enstrophy_pp

\(\omega_r^2\)

314

vort_r_sq

\(\omega_\theta^2\)

315

vort_theta_sq

\(\omega_\phi^2\)

316

vort_phi_sq

\({\omega_r^\prime}^2\)

317

vortp_r_sq

\({\omega_\theta^\prime}^2\)

318

vortp_theta_sq

\({\omega_\phi^\prime}^2\)

319

vortp_phi_sq

\(\overline{\omega_r}^2\)

320

vortm_r_sq

\(\overline{\omega_\theta}^2\)

321

vortm_theta_sq

\(\overline{\omega_\phi}^2\)

322

vortm_phi_sq

\(Z\)

323

zstream

\(v_r\omega_r\)

324

kin_helicity_r

\(v_\theta\omega_\theta\)

325

kin_helicity_theta

\(v_\phi\omega_\phi\)

326

kin_helicity_phi

\(v_r^\prime\omega_r^\prime\)

327

kin_helicity_pp_r

\(v_\theta^\prime\omega_\theta^\prime\)

328

kin_helicity_pp_theta

\(v_\phi^\prime\omega_\phi^\prime\)

329

kin_helicity_pp_phi

\(\overline{v_r}\overline{\omega_r}\)

330

kin_helicity_mm_r

\(\overline{v_\theta}\overline{\omega_\theta}\)

331

kin_helicity_mm_theta

\(\overline{v_\phi}\overline{\omega_\phi}\)

332

kin_helicity_mm_phi

\(\overline{v_r}\omega_r^\prime\)

333

kin_helicity_mp_r

\(\overline{v_\theta}\omega_\theta^\prime\)

334

kin_helicity_mp_theta

\(\overline{v_\phi}\omega_\phi^\prime\)

335

kin_helicity_mp_phi

\(v_r^\prime\overline{\omega_r}\)

336

kin_helicity_pm_r

\(v_\theta^\prime\overline{\omega_\theta}\)

337

kin_helicity_pm_theta

\(v_\phi^\prime\overline{\omega_\phi}\)

338

kin_helicity_pm_phi

\(v\cdot\omega\)

339

kin_helicity

\(v^\prime\cdot\omega^\prime\)

340

kin_helicity_pp

\(\overline{v}\cdot\overline{\omega}\)

341

kin_helicity_mm

\(\overline{v}\cdot\omega^\prime\)

342

kin_helicity_mp

\(v^\prime\cdot\overline{\omega}\)

343

kin_helicity_pm