Abstract
Cosmological simulation has become the most efficient and advanced method to investigate the fundamental principle and physical model of the universe. Galaxy formulation is one of the most significant characters in this field, which attracts lots of attention. However, it is challenging to establish a proper model of galaxy simulation. Besides, a lot of investment is required to solve the problem of modelling dark matter, dark energy, and ordinary matter. This review introduces the most widely accepted cosmological models and galaxy formation procedures. Moreover, discussions and comparisons are presented for several advanced simulation methods. These results evaluate milestones in the development of cosmological numerical simulation objectively and will offer a guideline for the development of galaxy formation.
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