Nonlinear Reconstruction of the Velocity Field
  We propose a new velocity reconstruction method based on the displacement
estimation by recently developed methods. The velocity is first reconstructed
by transfer functions in Lagrangian space and then mapped into Eulerian space.
High resolution simulations are used to test the performance. We find that the
new reconstruction method outperforms the standard velocity reconstruction in
the sense of better cross-correlation coefficient, less velocity misalignment
and smaller amplitude difference. We conclude that this new method has the
potential to improve the large-scale structure sciences involving a velocity
reconstruction, such as kinetic Sunyaev-Zel'dovich measurement and supernova
cosmology.
