A Characteristic-Based Split-FEM Scheme for Incompressible Viscous Flow with Moving Boundaries

A characteristic-based split(CBS)-FEM scheme for the incompressible viscous flow with moving boundaries was proposed,including the governing equations established and the corresponding non-dimensional equations deduced.Moreover,combined the conventional CBS algorithm with the mesh moving technique,a solution procedure in Eulerian coordinates was obtained and the spring analogy-based mesh moving technique was discussed.In addition,the proposed method was applied to two flow problems,i.e.the flow induced by the harmonic oscillating circular cylinder in water at rest,and the uniform flow around a transversely oscillating circular cylinder.The numerical results such as the drag and lift forces of the cylinder,the pressure and vorticity on the cylinder surface,and the velocity distribution of the flow field agree well with the numerical and experimental results in literatures.