D. $B<>=aK0OBD4@aK!$NDj<02=(B

$B<>=aK0OBD4@a$rMQ$$$kCJ3,$G$O(B, $B@xG.$N3+J|$K$h$k290L$NJQ2=$r9M$($k$N$G(B, $BG.NO3XBh0lK!B'$NHsCGG.9`$OL5;k$9$k(B.

$$d\theta + \gamma dq_{v} = 0.$$ (D.1)

$B$?$@$7(B $\gamma = L_{v}/(c_{p} \Pi)$ $B$G$"$k(B. $BAjJQ2=$N8z2L$r=|$$$?M=JsJ}Dx(B $B<0$r2r$/$3$H$GF@$i$l(B $B$?CM$r(B $[\theta]^{*}$, $[q_{v}]^{*}$, $[q_{c}]^{*}$, $[q_{r}]^{*}$ $B$H$7(B, $BAjJQ2=$N8z2L$b4^$a$?$h$j??$K6a$$CM$r(B $[\theta]^{t + \Delta t}$, $[q_{v}]^{t + \Delta t}$, $[q_{c}]^{t + \Delta t}$, $[q_{r}]^{t + \Delta t}$ $B$9$k(B. $B$3$N;~(B, (D.1) $B<0$O(B,

$$([\theta]^{t + \Delta t} - [\theta]^{*}) = \gamma ([q_{v}]^{*} - [q_{v}]^{t + \Delta t})$$ (D.2)

$B$H$J$k(B. $B$3$3$G2aK0OB$r5v$5$J$$$N$G(B,

$$[q_{v}]^{t + \Delta t} = q_{sw}([\theta]^{t + \Delta t})$$

$B$HI=$9$3$H$,$G$-$k(B. $B$3$3$G(B $q_{vsw}$ $B$OK0OB>x5$05$G$"$k(B. $q_{vsw}([\theta]^{t + \Delta t})$ $B$r(B $[\theta]^{*}$ $B$N2s$j$G(B $B%F!<%i!.9`0J2<$rL5;k$9$k$H(B,

$$q_{sw}([\theta]^{t + \Delta t}) = q_{sw}([\theta]^{*}) + \DP{q_{vsw}([\theta]^{*})}{\theta} ([\theta]^{t + \Delta t} - [\theta]^{*})$$ (D.3)

$B$H$J$k(B. (D.3) $B<0$r(B (D.2) $B<0$KBeF~$9$k$3$H$K(B $B$h$C$F(B (3.52) $B<0$,F@$i$l$k(B.

$$([\theta]^{t + \Delta t} - [\theta]^{*}) = \gamma \left( [q_{v}]^... ...q_{vsw}([\theta]^{*})}{\theta} ([\theta]^{t + \Delta t} - [\theta]^{*}) \right)$$

$$\left( 1 + \gamma \DP{q_{vsw}([\theta]^{*})}{\theta} \right) ([\t... ...a t} - [\theta]^{*}) = \gamma \left( [q_{v}]^{*} - q_{sw}([\theta]^{*}) \right)$$

$$[\theta]^{t + \Delta t} = [\theta]^{*} + \gamma \frac{[q_{v}]^{*} - q_{vsw}([\theta]^{*})} { 1 + \gamma \DP{q_{vsw}([\theta]^{*})}{\theta}}.$$ (D.4)

(3.53) $B<0$O(B (D.2) $B<0$+$iD>@\F@$k$3$H$,$G(B $B$-$k(B.

$$([\theta]^{t + \Delta t} - [\theta]^{*}) = \gamma ([q_{v}]^{*} - [q_{v}]^{t + \Delta t}) ,$$

$$[q_{v}]^{t + \Delta t} = [q_{v}]^{*} - ([\theta]^{t + \Delta t} - [\theta]^{*}) / \gamma.$$

(3.54) $B<0$O?e>x5$$H1@?eNL$NOB$,>o$KEy$7$$$H$$$&(B $B>r7o$+$iMF0W$KF@$i$l$k(B.

$$([q_{v}]^{*} + [q_{c}]^{*}) = ([q_{v}]^{t + \Delta t} + [q_{c}]^{t + \Delta t}) ,$$

$$[q_{c}]^{t + \Delta t} = [q_{v}]^{*} + [q_{c}]^{*} - [q_{v}]^{t + \Delta t} .$$ (D.5)