T_erfc Function

public function T_erfc(r, gamm, dT, grad) result(T)

$$T_{ab}^\text{erfc}(\mathbf r,\gamma) =-3\frac{r_ar_b}{r^5}C(r,\gamma)+\frac{\delta_{ab}}{r^3}B(r,\gamma)$$

$$\begin{aligned} \frac{\partial T_{ab}^\text{erfc}(\mathbf r,\gamma)}{\partial r_c} &=-\left( \frac{r_a\delta_{bc}+r_b\delta_{ca}}{r^5}- 5\frac{r_ar_br_c}{r^7} \right)C(r,\gamma)-3\frac{r_c\delta_{ab}}{r^5}B(r,\gamma) \\ &-\frac{r_ar_br_c}{r^6}\frac{\partial C(r,\gamma)}{\partial r}+\frac{r_c\delta_{ab}}{r^4}\frac{\partial B(r,\gamma)}{\partial r} \end{aligned}$$

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=dp),	intent(in)			::	r(3)
real(kind=dp),	intent(in)			::	gamm
type(grad_matrix_re_t),	intent(out),	optional		::	dT
type(grad_request_t),	intent(in),	optional		::	grad

Return Value real(kind=dp) (3,3)

Contents

None