Let $S=R[x,y,u,v]$ be polynomial ring over noetherian ring $R$.Set $M=R/(xu+yv)$. I guess

$H^2_{(x,y)}(M)=0$ . for example $H^2_{(x,y)}(\frac{\Bbb Z[x,y]}{(5x+4y)})=0$.

background: $H^i_I(M)$ means $i$-th local cohomology module of $M$ with respect to ideal $I$.