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In order to reconstruct the arbitrary shaped incompressible velocity field with noises, a new data-processing fluid dynamics (DFD) based upon the seamless immersed boundary method is proposed. The velocity field with noises is reconstructed by the Helmholtz's decomposition. The performance of DFD is demonstrated first for the reconstruction of velocity with noises and erroneous vectors. Also, the seamless immersed boundary method is incorporated into the velocity reconstruction for complicated flow geometry. Some fundamental flow fields, i.e., the square cavity flows with a circular cylinder and a square cylinder, are considered. As a result, it is concluded that the present DFD based upon the seamless immersed boundary method is very versatile technique for velocity reconstruction of the arbitrary shaped incompressible velocity with noises.

Velocity Reconstruction of Arbitrary Shaped Incompressible Flow Field with Noises Using Seamless Immersed Boundary Method