commit 8744d5d38e8df8e5ac914067bdc3294feb2c81c1
parent c91e6b4e53f1293fbcfa40e52848c2ac30690116
Author: Ivan Gankevich <i.gankevich@spbu.ru>
Date: Fri, 13 Mar 2020 16:14:32 +0300
update
Diffstat:
1 file changed, 1 insertion(+), 5 deletions(-)
diff --git a/main.tex b/main.tex
@@ -229,11 +229,7 @@ direction for efficiency, but they do not blow up the solution.
We seek solution of the form
\begin{equation*}
\phi = \vec\upsilon\cdot\vec{r}
-+ C \frac{\vec\upsilon_r\cdot\vec{r}}{1+\Length{\vec{r}-\vec{S}}^2};
-\qquad
-\vec\upsilon_r = \vec\upsilon - 2\left(\vec\upsilon\cdot\vec{n}\right)\vec{n};
-\qquad
-\vec{r}=\left(x,y,z\right),
++ C \frac{\vec\upsilon_r\cdot\vec{r}}{1+\Length{\vec{r}-\vec{S}}^2},
\end{equation*}
where \(\Length{\cdot}\) is vector length. Plugging the solution into boundary
condition gives the same coefficient \(C=1\), but velocity vector is written differently