Accretion flow in a contracting magnetized isothermal cloud was studie
d using magnetohydrodynamical simulations and a nested grid technique.
First, the interstellar magnetized cloud experiences a ''runaway coll
apse'' phase, in which the central density increases drastically withi
n a finite time scale. Finally, it enters an accretion phase, in which
inflowing matter accretes onto a central high-density disk of a new-b
orn star. We found that the accretion rate reaches (4-40) x c(s)(3)/G,
where c(s) and G represent the isothermal sound speed and the gravita
tional constant, respectively. This is much larger than the standard a
ccretion rate of 0.975 c(s)(3)/G for a hydrostatic isothermal spherica
l cloud (Shu 1977, AAA 19.065.044). Due to the effect of an extra infa
ll velocity achieved in the runaway phase (similar to 2 c(s)), the acc
retion rate is boosted. This rate declines with time in contrast to Sh
u's solution, but keeps greater than or similar to 2.5 c(s)(3)/G. The
observed gas infall rate around proto-stars such as L1551 IRS 5 and HL
Tau is also discussed.