A thermal model of an OMEGA-scale cryogenic inertial confinement fusion (ICF) target within the layering sphere of the OMEGA Cryogenic Target Positioner was created. A computational fluid dynamics code was used to calculate the temperature profile in the target. The sensitivity of the temperature profiles was modeled for variations in (1) target alignment in the layering sphere, (2) target specifications, and (3) temperature uniformity on the layering sphere’s inner surface. DT-ice non-uniformity in the target was determined by offsetting the center of the ice’s void to a position that minimized the temperature variance of the ice surface. The numerical solutions were compared to analytical solutions when available.