Public Member Functions | |
| Psip (Parameters gp) | |
| Construct from given geometric parameters. | |
| double | do_compute (double R, double Z) const |
 Public Member Functions inherited from dg::geo::aCylindricalFunctor< Psip > | |
| double | operator() (double R, double Z) const |
do_compute(R,Z) | |
| double | operator() (double R, double Z, double phi) const |
do_compute(R,Z) | |
Detailed Description
\[ \hat{\psi}_p \]
\[ \hat{\psi}_p(R,Z) = \hat{R}_0P_{\psi}\Bigg\{\bar{R}^4/8 + A \left[ 1/2 \bar{R}^2 \ln{(\bar{R} )}-(\bar{R}^4 )/8\right] + \sum_{i=1}^{12} c_i\bar \psi_{pi}(\bar R, \bar Z) \Bigg\} = \hat{R}_0P_{\psi}\Bigg\{\bar{R}^4/8 + A \left[ 1/2 \bar{R}^2 \ln{(\bar{R} )}-(\bar{R}^4 )/8\right] +c_1+ c_2 \bar{R}^2 + c_3 \left[ \bar{Z}^2-\bar{R}^2 \ln{(\bar{R} )} \right] + c_4 \left[\bar{R}^4 -4 \bar{R}^2 \bar{Z}^2 \right] + c_5 \left[3 \bar{R}^4 \ln{(\bar{R} )}-9 \bar{R}^2 \bar{Z}^2-12 \bar{R}^2 \bar{Z}^2 \ln{(\bar{R} )}+2 \bar{Z}^4\right]+ c_6 \left[ \bar{R}^6 -12 \bar{R}^4 \bar{Z}^2+8 \bar{R}^2 \bar{Z}^4 \right] + c_7 \left[-(15 \bar{R}^6 \ln{(\bar{R} )})+75 \bar{R}^4 \bar{Z}^2+180 \bar{R}^4 \bar{Z}^2 \ln{(\bar{R} )}-140 \bar{R}^2 \bar{Z}^4-120 \bar{R}^2 \bar{Z}^4 \ln{(\bar{R} )}+8 \bar{Z}^6 \right] + c_8 \bar{Z}+c_9 \bar{R}^2 \bar{Z}+(\bar{R}^4 )/8 + c_{10} \left[ \bar{Z}^3-3 \bar{R}^2 \bar{Z} \ln{(\bar{R} )}\right]+ c_{11} \left[3 \bar{R}^4 \bar{Z}-4 \bar{R}^2 \bar{Z}^3\right] + c_{12} \left[-(45 \bar{R}^4 \bar{Z})+60 \bar{R}^4 \bar{Z} \ln{(\bar{R} )}- 80 \bar{R}^2 \bar{Z}^3 \ln{(\bar{R} )}+8 \bar{Z}^5 \right] \Bigg\} \]
with \( \bar R := \frac{ R}{R_0} \) and \(\bar Z := \frac{Z}{R_0}\)
Constructor & Destructor Documentation
◆ Psip()
|
inline |
Construct from given geometric parameters.
- Parameters
-
gp geometric parameters
Member Function Documentation
◆ do_compute()
|
inline |
The documentation for this struct was generated from the following file:
