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In this paper, the application of Shallow Water Modeling (SWM) method to simulate the compressible viscous plane flow for studying squish movement in combustion chambers of diesel engines is reported. The principle and analogue criteria of this method are discussed and derived. Using this method combined with visualization technique, the flow patterns were obtained and compared with those obtained by other methods. T1te results show that the SWM method is adequate and favorable for such investigation.