Induction EquationΒΆ
\(\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_r\) |
1601 |
induct_shear_r |
\(-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)B_r\) |
1602 |
induct_comp_r |
\(-\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]_r\) |
1603 |
induct_advec_r |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]_r\) |
1604 |
induct_r |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]_r\) |
1605 |
induct_diff_r |
\(\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_\theta\) |
1606 |
induct_shear_theta |
\(-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)B_\theta\) |
1607 |
induct_comp_theta |
\(-\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]_\theta\) |
1608 |
induct_advec_theta |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]_\theta\) |
1609 |
induct_theta |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]_\theta\) |
1610 |
induct_diff_theta |
\(\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_\phi\) |
1611 |
induct_shear_phi |
\(-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)B_\phi\) |
1612 |
induct_comp_phi |
\(-\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]_\phi\) |
1613 |
induct_advec_phi |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]_\phi\) |
1614 |
induct_phi |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]_\phi\) |
1615 |
induct_diff_phi |
\(\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_r\) |
1616 |
induct_shear_vmbm_r |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)\overline{B_r}\) |
1617 |
induct_comp_vmbm_r |
\(-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_r\) |
1618 |
induct_advec_vmbm_r |
\(\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\overline{\boldsymbol{B}}\right)\right]_r\) |
1619 |
induct_vmbm_r |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\right]_r\) |
1620 |
induct_diff_bm_r |
\(\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\theta\) |
1621 |
induct_shear_vmbm_theta |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)\overline{B_\theta}\) |
1622 |
induct_comp_vmbm_theta |
\(-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\theta\) |
1623 |
induct_advec_vmbm_theta |
\(\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\overline{\boldsymbol{B}}\right)\right]_\theta\) |
1624 |
induct_vmbm_theta |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\right]_\theta\) |
1625 |
induct_diff_bm_theta |
\(\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi\) |
1626 |
induct_shear_vmbm_phi |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)\overline{B_\phi}\) |
1627 |
induct_comp_vmbm_phi |
\(-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\phi\) |
1628 |
induct_advec_vmbm_phi |
\(\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\overline{\boldsymbol{B}}\right)\right]_\phi\) |
1629 |
induct_vmbm_phi |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\right]_\phi\) |
1630 |
induct_diff_bm_phi |
\(\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_r\) |
1631 |
induct_shear_vmbp_r |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)B'_r\) |
1632 |
induct_comp_vmbp_r |
\(-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_r\) |
1633 |
induct_advec_vmbp_r |
\(\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\boldsymbol{B'}\right)\right]_r\) |
1634 |
induct_vmbp_r |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]_r\) |
1635 |
induct_diff_bp_r |
\(\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\theta\) |
1636 |
induct_shear_vmbp_theta |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)B'_\theta\) |
1637 |
induct_comp_vmbp_theta |
\(-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\theta\) |
1638 |
induct_advec_vmbp_theta |
\(\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\boldsymbol{B'}\right)\right]_\theta\) |
1639 |
induct_vmbp_theta |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]_\theta\) |
1640 |
induct_diff_bp_theta |
\(\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi\) |
1641 |
induct_shear_vmbp_phi |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)B'_\phi\) |
1642 |
induct_comp_vmbp_phi |
\(-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\phi\) |
1643 |
induct_advec_vmbp_phi |
\(\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\boldsymbol{B'}\right)\right]_\phi\) |
1644 |
induct_vmbp_phi |
\(-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]_\phi\) |
1645 |
induct_diff_bp_phi |
\(\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_r\) |
1646 |
induct_shear_vpbm_r |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\boldsymbol{v'} \right)\overline{B_r}\) |
1647 |
induct_comp_vpbm_r |
\(-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_r\) |
1648 |
induct_advec_vpbm_r |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\overline{\boldsymbol{B}}\right)\right]_r\) |
1649 |
induct_vpbm_r |
\(\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\theta\) |
1650 |
induct_shear_vpbm_theta |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\boldsymbol{v'} \right)\overline{B_\theta}\) |
1651 |
induct_comp_vpbm_theta |
\(-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\theta\) |
1652 |
induct_advec_vpbm_theta |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\overline{\boldsymbol{B}}\right)\right]_\theta\) |
1653 |
induct_vpbm_theta |
\(\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi\) |
1654 |
induct_shear_vpbm_phi |
\(-\left(\overline{\boldsymbol{\nabla}}\cdot\boldsymbol{v'} \right)\overline{B_\phi}\) |
1655 |
induct_comp_vpbm_phi |
\(-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\phi\) |
1656 |
induct_advec_vpbm_phi |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\overline{\boldsymbol{B}}\right)\right]_\phi\) |
1657 |
induct_vpbm_phi |
\(\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_r\) |
1658 |
induct_shear_vpbp_r |
\(-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)B'_r\) |
1659 |
induct_comp_vpbp_r |
\(-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_r\) |
1660 |
induct_advec_vpbp_r |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]_r\) |
1661 |
induct_vpbp_r |
\(\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\theta\) |
1662 |
induct_shear_vpbp_theta |
\(-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)B'_\theta\) |
1663 |
induct_comp_vpbp_theta |
\(-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\theta\) |
1664 |
induct_advec_vpbp_theta |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]_\theta\) |
1665 |
induct_vpbp_theta |
\(\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi\) |
1666 |
induct_shear_vpbp_phi |
\(-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)B'_\phi\) |
1667 |
induct_comp_vpbp_phi |
\(-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\phi\) |
1668 |
induct_advec_vpbp_phi |
\(\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]_\phi\) |
1669 |
induct_vpbp_phi |
