The Jackson-Hunt model of eutectic solidification is applied to monote
ctic solidification in which a liquid (L-1) transforms into rods of a
different liquid (L-2) in a solid matrix. Limiting cases of no diffusi
on and infinite diffusion (complete mixing) in the L-2 phase are consi
dered. An adaptive refinement and multigrid algorithm (MGGHAT) is used
to obtain numerical solutions for the concentration field in the L-1
phase; this allows consideration of a general phase diagram. Density d
ifferences between the three phases, which cause fluid flow, are treat
ed approximately. Specific calculations are carried out for aluminum-i
ndium alloys. Infinite diffusion in the L-2 phase has only a small eff
ect on the relationship between interface undercooling and rod spacing
.