  A detailed investigation of the temperature dependence of the spatial string
tension $\sigma_s$ in $SU(2)$ gauge theory is presented. A sustained
performance of 3~GFLOPS on a 64K Connection Machine CM-2 equivalent has been
achieved. Scaling of $\sigma_s$ between $\beta=2.5115$ and $\beta=2.74$, on
large lattices, is demonstrated. Below the critical temperature, $T_c$,
$\sigma_s$ remains constant. For temperatures larger than $2T_c$ the
temperature dependence can be parametrized by $\sigma_s(T) = (0.369\pm 0.014)^2
g^4(T)T^2$, where $g(T)$ is a 2-loop running coupling constant with the scale
parameter determined as $\Lambda_T = (0.076\pm 0.013)T_c$.
