Abstract
A new directional-splitting CIP interpolation with the multi-dimensional Soroban mesh is proposed based on the Type-F CIP interpolation technique with a structured rectangular computational mesh. The proposed scheme does not need to treat the time evolution of the high-order derivatives and largely reduce the memory consumption. The proposed scheme applies to solutions of the two and three dimensional advection equation. The numerical results show that the proposed interpolation retains the third-order accuracy and realize the rapid solution with low memory consumption.
