We numerically investigated Marangoni flow induced around a microbubble generated using a laser beam to be used as a method for enhanced fluid mixing on the microscale. We report the generated flow field at different laser powers and different positions of the laser spot relative to the bubble center. We found that flow velocities as high as 47 cm/sec are achievable when the laser spot is closest to the bubble center at a power of 1 mW. This flow velocity increases with increasing the laser power and decreases as the laser spot moves away from the bubble. Our numerical results are validated by comparing it to previously reported experimental results and shows good qualitative agreement. The results reported here indicate that photothermally induced Marangoni flow can be used as an effective mixing mechanism on the microscale.