Recent development on the conservation property of Chimera

An estimate on the conservation error due to the non-conservative data inte rpolation scheme for overset grids is given in this paper. It is shown that the conservation error is a first-order term if second-order conservative schemes are employed for the Chimera grids and if discontinuities are locat ed away from overlapped grid interfaces. Therefore in the limit of global g rid refinement, valid numerical solutions should be obtained with a data in terpolation scheme. In one demonstration case the conservation error in the original Chimera scheme was shown to affect flow even without discontinuit ies on coarse to medium grids. The conservative Chimera scheme was shown to give significantly better solutions than the original Chimera scheme on th ese grids with other factors being the same.