A central feature that scientists are interested in is the dynamics of fluid interfaces or the so called material boundaries in multi-fluid simulation . Visualization techniques for capturing fluid interface are based on one of about three basic algorithms. In this paper, we give a survey of the existing interface tracking algorithms, including backgrounds, terms, procedures as well as pointers to details and further reading. We also provide a glance at the mathematical fundamentals of multi-fluid dynamics for scientists who are interested in understanding the underlying math and physics of multi-phase fluid simulation. Keywords and phrases Multi-phase fluid, interface tracking, topology methods Digital Object Identifier 10.4230/OASIcs.VLUDS.2010.11