High-order remapping with piece-wise parabolic reconstruction

High-order remapping methods, using piece-wise parabolic reconstruction with different limiting techniques trying to keep monotonicity (defined in terms of bounds on remapped solution) in the neighborhood of discontinuities, are investigated and compared on cyclic remapping tests. Piece-wise parabolic remapping methods based on PPM and FCT approaches keep the solution bounds in all the cases. These methods provide more accurate results than the standard remapping method using piece-wise linear reconstruction, usually with Barth–Jespersen limiter.