Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics

@article{Imai2008ConservativeFO,
  title={Conservative form of interpolated differential operator scheme for compressible and incompressible fluid dynamics},
  author={Yohsuke Imai and Takayuki Aoki and Kenji Takizawa},
  journal={J. Comput. Physics},
  year={2008},
  volume={227},
  pages={2263-2285}
}
The proposed scheme, which is a conservative form of the interpolated differential operator scheme (IDO-CF), can provide high accurate solutions for both compressible and incompressible fluid equations. Spatial discretizations with fourthorder accuracy are derived from interpolation functions locally constructed by both cell-integrated values and point values. These values are coupled and time-integrated by solving fluid equations in the flux forms for the cell-integrated values and in the… CONTINUE READING