Unsplit transport method in eulerian method

The transport repetition or transport missing will appear when dealing with the problems of multi-material hydrodynamics using dimension split method in the Eulerian process. Based on Youngs' interface reconstruction algorithm, the dimensional unsplit method is introduced in transport calculation in which not only four neighboring cells are considered, but the diagonal ones also. This method can avoid the problems of transport repetition or transport missing effectively. The rationality of unsplit method is proved and all of the possible distribution modes to eight neighboring cells are given. Simulation results proved that precision of the unsplit method could be much higher.