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The main idea of this article is to analyze the incompressible
viscous flow field in moving grids. For a flow field which
varies with time, we use the moving grid method so that the
computational domain can change consistently adapt the physical
domain. In the discretization of space and time variables, we
use the Galerkin weighted residual method and semidiscrete
finite element method, respectively. In this article we solve
the test problem which is amenable to exact solution to prove
the correctness of the method developed here. Besides, we also
discuss the flow which passes through two flexible bending
plates to show that the method is applicable to industrial
flows.
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