  We prove an effective universality theorem of the Riemann zeta-function in
short intervals $[T,T+H]$ with $T^{\frac{27}{82}}\le H\le T$ by following an
effective multidimensional $\Omega$-result of Voronin. Furthermore, we also
prove the results in short intervals $[T,T+H]$ with $T^\epsilon\le H\le T$ (for
any fixed $\epsilon>0$) under the assumption of the Riemann Hypothesis.
